{"pages":{"search":{"query":"高中数学刘老师","originalQuery":"高中数学刘老师","serpid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","parentReqid":"","serpItems":[{"id":"7807864296131171407-0-0","type":"videoSnippet","props":{"videoId":"7807864296131171407"},"curPage":0},{"id":"8571650287714816470-0-1","type":"videoSnippet","props":{"videoId":"8571650287714816470"},"curPage":0},{"id":"14099996621854456970-0-2","type":"videoSnippet","props":{"videoId":"14099996621854456970"},"curPage":0},{"id":"9889058534634464073-0-3","type":"videoSnippet","props":{"videoId":"9889058534634464073"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dOmrmOS4reaVsOWtpuWImOiAgeW4iAo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","ui":"desktop","yuid":"1849103431764374623"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"8552506638567293509-0-5","type":"videoSnippet","props":{"videoId":"8552506638567293509"},"curPage":0},{"id":"16379269653618260574-0-6","type":"videoSnippet","props":{"videoId":"16379269653618260574"},"curPage":0},{"id":"9945964813941334783-0-7","type":"videoSnippet","props":{"videoId":"9945964813941334783"},"curPage":0},{"id":"2359818096684144100-0-8","type":"videoSnippet","props":{"videoId":"2359818096684144100"},"curPage":0},{"id":"14509569646476784100-0-9","type":"videoSnippet","props":{"videoId":"14509569646476784100"},"curPage":0},{"id":"14529511911212472462-0-10","type":"videoSnippet","props":{"videoId":"14529511911212472462"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dOmrmOS4reaVsOWtpuWImOiAgeW4iAo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","ui":"desktop","yuid":"1849103431764374623"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"13296444663384722461-0-12","type":"videoSnippet","props":{"videoId":"13296444663384722461"},"curPage":0},{"id":"10391420543989009377-0-13","type":"videoSnippet","props":{"videoId":"10391420543989009377"},"curPage":0},{"id":"18032856752232635523-0-14","type":"videoSnippet","props":{"videoId":"18032856752232635523"},"curPage":0},{"id":"16213303906678048797-0-15","type":"videoSnippet","props":{"videoId":"16213303906678048797"},"curPage":0},{"id":"14513679860294337099-0-16","type":"videoSnippet","props":{"videoId":"14513679860294337099"},"curPage":0},{"id":"160275624066675113-0-17","type":"videoSnippet","props":{"videoId":"160275624066675113"},"curPage":0},{"id":"1511025336477005985-0-18","type":"videoSnippet","props":{"videoId":"1511025336477005985"},"curPage":0},{"id":"8542880164762897262-0-19","type":"videoSnippet","props":{"videoId":"8542880164762897262"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dOmrmOS4reaVsOWtpuWImOiAgeW4iAo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","ui":"desktop","yuid":"1849103431764374623"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3D%25E9%25AB%2598%25E4%25B8%25AD%25E6%2595%25B0%25E5%25AD%25A6%25E5%2588%2598%25E8%2580%2581%25E5%25B8%2588"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2085751781735431707154","expFlags":{"video_instream_player_yaru_loader":1,"video_skeleton_doc_update":1,"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_instream_disable_hosts":"dzen.ru,ok.ru,vk.com,video.mail.ru","video_search_toggle_with_text":1,"video_single_vh_unmute":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_instream_player_config":{"vmapScenarioId":119,"category":2,"impId":7,"partnerId":2216089},"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":1,"video_skeleton_direct_under_player_update":1,"video_instream_player_config_porno":{"vmapScenarioId":119,"category":3,"impId":4,"partnerId":1988486},"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_single_vh_iframe":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_direct_render_in_viewport":1,"video_skeleton_instream_update":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"video_viewer_catch_sandbox_early_inits":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_skeleton_direct_organic_update":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_instream_players_yaru_enable":1,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"video_direct_pos_id":"R-I-48058-73","dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_viewer_desktop_blocks":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_direct_pos":5,"video_viewer_host_link_mode":1,"video_direct_viewport_margin_desktop":700},"slots":["1374659,0,41;1419615,0,82;151171,0,29;1281084,0,61;287509,0,15;927534,0,94;1387471,0,74;912286,0,76"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3D%25E9%25AB%2598%25E4%25B8%25AD%25E6%2595%25B0%25E5%25AD%25A6%25E5%2588%2598%25E8%2580%2581%25E5%25B8%2588","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"高中数学刘老师: 2 bin video Yandex'te bulundu","description":"\"高中数学刘老师\" sorgusu için arama sonuçları Yandex'te","shareTitle":"高中数学刘老师 — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ycc7626e9328dabe39f3c21dc03a855b5","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1374659,1419615,151171,1281084,287509,927534,1387471,912286","queryText":"高中数学刘老师","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"1849103431764374623","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1418371,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1764374656","tz":"America/Louisville","to_iso":"2025-11-28T19:04:16-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1374659,1419615,151171,1281084,287509,927534,1387471,912286","queryText":"高中数学刘老师","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"1849103431764374623","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"2085751781735431707154","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":153,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"isPlainHeader":false,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"isHeaderRedesign":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":false,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"1849103431764374623","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1722.0__65cc5d494f91fa935f16e335c28234b3da72b113","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"7807864296131171407":{"videoId":"7807864296131171407","docid":"34-11-1-ZC348D47C3DC27645","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4311748/6a424f0ebdd97019f5b47dfe2aef343a/564x318_1"},"target":"_self","position":"0","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dkw1L8eYiMuk","linkTemplate":"/video/preview/7807864296131171407?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学选修三第六章计数原理第二讲排列与排列数","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=kw1L8eYiMuk\",\"src\":\"serp\",\"rvb\":\"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__7-AwDw_gAF-AP_AekFBv78__8A_AH7Bf0F_gDxCgL7-gAAAPgFAgIAAAAA_v7-__j-AAANAgb9_AAAAPvs-vn_AQAA-Ab5AP4BAAD4DwAEA_8AABX7AQX0_gEA_AEDBv7_AAALCPn8AQAAAPvs_v8AAAAAIAAtUvfaOzgTQAlITlACKnMQABpgNTkAGiNHFPkV_uLuEg4qCQ3f8Mr6_AAj7AAZBQD7Cvb6x_QD_wv7--nEAAAA__vxGPwA2VUXF88U9h3j2L8I8TB_CC4CMgEXGewZMgP3KQj9FuLyAPMCyOUXAx4kJMEfIAAtoQJQOzgTQAlIb1ACKq8GEAwaoAYAAAxCAACgwQAAXEIAAKDBAACwwQAAgEEAAJxCAAAAQQAAiMEAAEBBAAAAAAAA0EEAAAAAAADgQQAAWEIAAATCAAA8QgAADMIAAAAAAACAPwAALMIAAGTCAAAUwgAAZEIAABTCAAAAAAAAAMIAAKBBAAAMQgAAnkIAAKDBAAAQwQAAcMEAAAhCAACMwgAAwEAAADDBAAAUQgAAAEEAAMhBAAAowgAAuEEAAGBBAAAEwgAAMEEAABzCAADYQQAA-MEAAARCAABIQgAAAEAAAKBAAABwwQAAJEIAAEDAAABAwgAAnsIAAMhBAAAwQQAAgEIAAIDBAACAwAAAjMIAAKDBAABQwQAAIMIAADDBAACywgAAyMEAAMBAAAA8QgAAmEEAAMDAAACKQgAAAMIAAI7CAACOwgAAoMAAAODAAACAwAAAnMIAABRCAABYwgAAIMIAANhBAADiQgAALMIAAODAAADQQQAA0EEAACjCAACgQAAAiEEAAMDAAAAYQgAAYMIAAHBBAAAAwAAAmEIAALxCAAAgwQAAQEIAAPhBAAAIwgAAlsIAACBBAACYwQAALEIAAFTCAACSQgAAhkIAAEBBAACAwQAAgD8AABBCAAC-QgAAAMAAAEDCAABYQgAAmMIAAIC_AADAQQAAwEAAAJjCAADAwAAAAMAAAJjBAABowgAAMMEAAIDBAADgwQAALMIAAABBAACIQgAAUEEAAEBBAACgQQAAMMEAADDCAADywgAAGEIAABhCAAAAQgAAQEAAALBBAABAQgAA0MEAAJhBAABQwQAA2MEAAADCAAAMQgAAUEEAAIrCAABUwgAAAEAAAKDCAADIQQAAJMIAAKDAAACKwgAAYEEAAIDAAACgQQAAVEIAAAAAAACYQQAAgEAAAFBCAAA4wgAAkMIAANhBAADYQQAAkEEAAPDBAACgQQAANEIAAKDAAACwQQAAikIAAIDBAACowgAAkMEAAGDBAAAAQgAA6MEAABDCAAA4QgAAsMEAAIjBAABQwQAAsEEAAEDBAACQQQAAMEEAAOBBAAAgwgAAPEIAAIBAAACAwiAAOBNACUh1UAEqjwIQABqAAgAAuL0AAHC9AACePgAAMD0AAAy-AACoPQAAmr4AAPK-AACgPAAAQDwAADw-AABAPAAA4LwAABQ-AACovQAAHL4AAIg9AACIvQAAyL0AADA9AAB_PwAAUL0AACS-AABUPgAATL4AALi9AAAwvQAAEL0AADw-AACYPQAAgLsAADA9AABUvgAABD4AAHA9AAAUvgAA6D0AAJi9AAAkvgAAFL4AACw-AABwvQAA4LwAAEC8AABEvgAADL4AAIY-AADYPQAAHL4AAHS-AAAQPQAAiD0AAIo-AACAOwAAZL4AABA9AAAHPwAAcD0AAIA7AAD4PQAA2L0AAIi9AABQPQAA4LwgADgTQAlIfFABKo8CEAEagAIAAMa-AAAQvQAAgLsAAPq-AABUPgAAcD0AAIo-AABUPgAALL4AAFQ-AACIvQAAQDwAAOC8AAAwvQAAHL4AAEA8AAAwvQAAGz8AADS-AACYPQAA4LwAAOA8AAAQvQAAqD0AAIA7AAAQPQAAEL0AAEC8AABcPgAAoDwAAEA8AACYPQAAkr4AAOC8AAC4vQAAiL0AANo-AAAEvgAAiL0AABA9AABwPQAAgr4AAOC8AADoPQAAND4AAOi9AAB_vwAAQDwAAHC9AACGPgAALD4AAOg9AACmPgAAQLwAAIi9AADgPAAAUL0AAPi9AACYPQAA6D0AAKA8AAAMvgAAPL4AAKi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=kw1L8eYiMuk","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7807864296131171407"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8571650287714816470":{"videoId":"8571650287714816470","docid":"34-0-6-Z2ED2BF812A12CA67","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1549079/f04a3569704b0a5ace38a1db134d31b5/564x318_1"},"target":"_self","position":"1","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjapyqMnj25k","linkTemplate":"/video/preview/8571650287714816470?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高中数学学习方法之——思考内容的层次及升级","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=japyqMnj25k\",\"src\":\"serp\",\"rvb\":\"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-AgD2_gMF_gX-AesD_Pr7__8A_AH7Bf0F_gDtB_3-A_8AAPgFAgIAAAAAAQgB_vL-AQANAgb9_AAAAPvs-vn_AQAAAAf9AP8BAAD4DwAEA_8AABX7AQX0_gEA-QYBBgQBAAAMCPn8AQAAAPvs_v8AAAAAIAAtwqTaOzgTQAlITlACKnMQABpgNC0AFiJMGukZ_9v2DgYqCAbe9MLsAP8p6gAbBvb3DO73x_kC_wn-_-i_AAAABfjvGQAA1FsfGcsR9Rnk2L8E7jh_ADQHOPwWEeMeOfj8JBEAHN_3AOoCyd8VBCIeJ8seIAAtpApIOzgTQAlIb1ACKq8GEAwaoAYAABxCAABwQQAAVEIAACTCAACIwQAA0EEAAJZCAADAwAAABMIAAJjBAACYQQAAyEEAAIA_AAAAQgAAikIAABzCAACwQQAAmMEAAMBBAADoQQAAwMAAACDCAAAwwgAAqEIAAAAAAADYwQAAcMEAAEBAAAAgwQAAqkIAACDBAAAQwQAAAEEAAKhBAABAwgAA6EEAANjBAAB8QgAAUEEAAABCAACAvwAABEIAABDBAAAAwgAANEIAALDBAACIQQAAMEEAAGBCAACkQgAAMEEAAIjBAACowQAA-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_AADgQAAAIMIAAIhBAABYwgAAlsIAAFBCAADQQQAAgEAAAOjBAABAQQAAdEIAAFDBAACAvwAAZEIAANDBAADWwgAAHMIAAAAAAAB4QgAAbMIAAIDBAAC2QgAABMIAALjBAADgwAAAgD8AAJDBAADgQAAAIEEAAChCAAA4wgAAcEIAAKhBAAA4wiAAOBNACUh1UAEqjwIQABqAAgAABL4AAFC9AAB0PgAAuD0AAIi9AAAsPgAAvr4AAOa-AABAPAAA2D0AAFQ-AADgPAAAoLwAAMg9AACIvQAA-L0AAFQ-AADIvQAA2L0AAOA8AAB_PwAA4DwAAAS-AABEPgAAVL4AABy-AAC4vQAAgLsAANg9AACAOwAAoDwAAJi9AADIvQAADD4AAKg9AABkvgAAmD0AAKi9AAAEvgAADL4AAEw-AABwvQAAoLwAADC9AAA0vgAAHL4AAII-AACYPQAANL4AAK6-AACgPAAAMD0AAGw-AABAvAAAhr4AAEA8AAATPwAAUD0AADA9AAAwPQAAPL4AAHC9AABAPAAAcL0gADgTQAlIfFABKo8CEAEagAIAAO6-AACovQAA2L0AAAu_AAD4PQAAQDwAAJo-AABsPgAAHL4AAHA9AAC4vQAAMD0AAFC9AABQvQAARL4AAIC7AABkvgAAAz8AAFS-AABQPQAA4LwAAIC7AAAcvgAAMD0AABA9AAC4vQAAmL0AALi9AABMPgAAiL0AADA9AABAPAAAfL4AANg9AADIPQAAVL4AAAc_AACCvgAABL4AAEQ-AADgPAAAjr4AAFC9AABUPgAAcD0AAKK-AAB_vwAA-D0AALi9AAB8PgAAJD4AAOg9AAC-PgAAoDwAAKC8AADgPAAAuL0AAKi9AACIPQAAiD0AAKC8AACYvQAAVL4AAKi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=japyqMnj25k","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8571650287714816470"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14099996621854456970":{"videoId":"14099996621854456970","docid":"34-6-14-Z4C76AA4D40B8E706","description":"高二数学期末复习解析几何第...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/223388/611ea633873d463e11ee8552dff012f4/564x318_1"},"target":"_self","position":"2","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9AtLdD5gBvU","linkTemplate":"/video/preview/14099996621854456970?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学期末复习解析几何第三讲圆与方程(二)","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9AtLdD5gBvU\",\"src\":\"serp\",\"rvb\":\"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_E7wKggQkAYAEKyqLARABGniB-_oBBP4CAPb-AwX-Bf4B5An__fwAAAD8AfsF_QX-AO0H_f4D_wAA-AUCAgAAAAABCAH-8v4BAA0CBv38AAAA--z6-f8BAAAAB_0A_wEAAPgPAAQD_wAAFfsBBfT-AQD5BgEGBAEAAAwI-fwBAAAA--z-_wAAAAAgAC3CpNo7OBNACUhOUAIqcxAAGmBDJQAZIk4b8RcD4AUJBy4KBNf7zvj9_yXiABoH7_MF3_m8-wL_C_793rcAAAAH6uojCwDLZiAUzAUHCd3bpgThP38DOAVC9RAM5hdA9v8tHwUq1fwA5Ae94hb8KyYp1yUgAC1OWDc7OBNACUhvUAIqrwYQDBqgBgAAMEIAAIDBAABkQgAANMIAALDBAADoQQAArEIAAIDAAAAYwgAAgMAAAFBBAAA4QgAA4MAAAJhBAABkQgAA8MEAAABCAABQwQAAAEAAAEDBAADQwQAAKMIAAOjBAABMQgAAEMEAAABAAAA4wgAAAEEAADBBAACSQgAAwMEAALBBAAAAwgAA4EEAAKLCAABQwQAAAAAAAFhCAACwQQAA4EAAALjBAADQQQAAAMEAAOBAAAAoQgAAQMIAAEBCAABgwQAA4EEAAFhCAABAQAAAsMEAAMDBAADYQQAAcMEAABTCAAC4wgAAAEIAAIBBAABkQgAAAEAAAJDBAAB8wgAAcMEAAADBAABAwgAAFMIAAI7CAACwwQAAgMAAALhBAAAoQgAAiMEAAKxCAADwwQAAKMIAAJbCAABAQAAAAAAAANBBAACKwgAAOEIAADzCAABgwgAAyEEAAOhCAADowQAAwMAAAOhBAACQQQAAqMEAAEDBAACIQQAAgL8AAGRCAACMwgAAEEEAAIA_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-AADoPQAAJL4AANg9AACavgAAzr4AAIC7AAAQPQAAND4AAIA7AACAOwAALD4AADC9AAA0vgAA-D0AADC9AACovQAA2D0AAH8_AAAwPQAARL4AAGw-AAAMvgAAmL0AAOC8AABwvQAADD4AAKg9AAAQvQAAMD0AACy-AADYPQAAcD0AALi9AAD4PQAAqL0AADS-AAA0vgAAuD0AAPi9AACIvQAAQDwAAAy-AAD4vQAAXD4AAAQ-AAAEvgAAZL4AAFA9AABQPQAAkj4AADA9AACCvgAA4DwAAA8_AABQPQAAMD0AABw-AADIvQAAmL0AAHA9AABAPCAAOBNACUh8UAEqjwIQARqAAgAAkr4AAKi9AAAwPQAAD78AACw-AAAQPQAAND4AAOg9AABsvgAAnj4AAHC9AABAPAAA6D0AADC9AAAsvgAAML0AAOi9AAA1PwAAcL0AABQ-AAAEvgAAUL0AAKA8AACAuwAAMD0AAFC9AACoPQAAgLsAAII-AADgPAAAoLwAAOA8AAAUvgAAqL0AALi9AAAEvgAATD4AAFC9AACAOwAAyD0AAPg9AAB8vgAAUL0AAIA7AADgvAAAPL4AAH-_AACAuwAAoLwAAJo-AAAsPgAAQDwAAII-AACAuwAAoLwAAOC8AABQvQAAQDwAAFC9AADgPAAAcD0AALi9AAAMvgAAFL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=9AtLdD5gBvU","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14099996621854456970"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9889058534634464073":{"videoId":"9889058534634464073","docid":"34-9-15-ZC3C3B74E0227C734","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2804007/639dcced694722733d17edd2222266b6/564x318_1"},"target":"_self","position":"3","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFKeSU1F0Qw4","linkTemplate":"/video/preview/9889058534634464073?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高中新课堂高三数学解析几何(圆锥曲线) 第五讲 双曲线","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FKeSU1F0Qw4\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD2_gMF_gX-AewD_Pv7AP8A_AH7Bf0F_gDuBv7-A_8AAP4LBgIAAAAAAQcB_vL-AQAMAgb9_QAAAPn3_P38AAAABwb_Av4BAAD9B_4GA_8AABT7AQT1_gEA8wsCAQT6-AQFDPoCAAAAAPvt_v8AAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgMSIAFCRMH94aAcz6CgEpCwHf87viAP8v5gAdBu71EOnzx_kC_wkDBuq6AAAADPnqHgMAzmAnGcgQ8xfl3bz-8kB_9jULOfoVANwlQfH-HRkAHd37AOQC0NYQCCQcKNEdIAAtgXM_OzgTQAlIb1ACKq8GEAwaoAYAAERCAACgQQAAQEIAAKDBAAAYwgAAQEIAAKRCAAAAwAAAmMEAAADCAAC4QQAAAEIAAJjBAAAQQgAAnkIAAADCAADoQQAAEMEAAAhCAABMQgAAqMEAAKDBAABMwgAAYEIAAABBAADAwAAAuMEAAADAAABwQQAAlkIAAIDBAADAwAAAQEAAAABBAABwwgAAUEEAAMDBAACMQgAAiMEAAJhBAABAQQAALEIAAAAAAABwQQAAWEIAAADBAAAEQgAAQEEAAIZCAAC2QgAAAMEAAAzCAAAIwgAAFEIAACDBAABswgAA3MIAANBBAACAQAAAskIAAHDBAACQwQAAlMIAAADAAACQwQAAsMEAABjCAACawgAAKMIAAMDBAAA4QgAABEIAAEDAAABoQgAACMIAAODBAAC-wgAAiEEAAMhBAAAkQgAALMIAAMBBAADgwAAARMIAAIDAAADkQgAAQMAAAABAAADgQAAAoMAAAMDBAACwwQAA4EAAAKDBAADgQQAAmMEAAKjBAACIQQAAdEIAAKRCAAAAwgAAEEIAAJhBAADgwAAAgMEAAHBBAAAAwQAATEIAAPjBAAB8QgAABEIAAPBBAACwwQAATEIAALhBAACqQgAAgEAAAGDBAAA0QgAAfMIAADDBAABQQQAAAEAAABjCAACowQAAmMEAAAAAAAAUwgAAgD8AABzCAACIQQAASMIAANjBAACIQgAAYMEAAGDBAAAcQgAA4MEAAL7CAADywgAAwEEAABhCAAB0QgAAoEAAAPBBAAB4QgAAQEAAAJDBAAAwwQAAJMIAAKjCAACwQQAAIEEAABDCAAA8wgAAyMEAAFDCAABUQgAAMMIAAGBBAABMwgAAoMEAAIhBAAAIQgAA8EEAAIC_AAAwQQAAMMIAALBBAAAIwgAATMIAAERCAADQQQAAcMEAANDBAAAgQQAASEIAAAAAAAAwwQAADEIAAADAAACwwgAAHMIAAKBAAACcQgAA6MEAAHDBAACWQgAAYMEAAAAAAADgQAAAsMEAALDBAABwwQAAAMAAAJhBAABIwgAAREIAAARCAAAgwiAAOBNACUh1UAEqjwIQABqAAgAA2L0AABC9AACiPgAAED0AABy-AAAMPgAAwr4AANq-AAAQPQAAED0AACQ-AACgvAAAcD0AABQ-AABAvAAAVL4AANg9AADIvQAA2L0AAFA9AAB_PwAAMD0AACS-AAB8PgAABL4AAPi9AABwvQAAcL0AADw-AADoPQAAoLwAAHC9AAD4vQAA6D0AAHA9AAAkvgAAyD0AAMi9AAAsvgAAFL4AAEw-AAAQvQAAoDwAAIC7AAC4vQAA6L0AAI4-AAAEPgAAJL4AAKa-AAAQvQAAgDsAAKY-AADgPAAARL4AAHA9AAAPPwAA-D0AAKC8AAC4PQAAHL4AAFC9AADgPAAAcL0gADgTQAlIfFABKo8CEAEagAIAAAu_AACAuwAAgLsAABG_AAAUPgAAED0AAGQ-AAA0PgAAmL0AACw-AAC4vQAAqD0AAJi9AABAvAAATL4AABA9AABEvgAAHz8AACy-AADoPQAAoDwAAJi9AADgvAAAgLsAADC9AACgPAAAuL0AAIA7AAD4PQAAgLsAADA9AABQPQAADL4AAOC8AAC4PQAA-L0AAMI-AACIvQAAiL0AABw-AAAUPgAApr4AAIC7AAAQPQAA2D0AAIK-AAB_vwAAUD0AAHC9AABsPgAAgj4AAMg9AADWPgAA4DwAAFA9AADgPAAAyL0AAPi9AABwPQAAED0AAOA8AADovQAAPL4AAEA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=FKeSU1F0Qw4","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9889058534634464073"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8552506638567293509":{"videoId":"8552506638567293509","docid":"34-8-13-ZA1C275367AFE6733","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2810927/959a02cf2c9d8ae71bc8d6cb1ee70c91/564x318_1"},"target":"_self","position":"5","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7Vk21ZDp2nM","linkTemplate":"/video/preview/8552506638567293509?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学选修一圆锥曲线第三章 第七讲 抛物线","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7Vk21ZDp2nM\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD2_gMF_gX-AewD_Pv7AP8A_AH7Bf0F_gDuBv7-A_8AAPUOBwD7AAAAAQcB_vL-AQAMAgb9_QAAAPzt-voAAQAABwb_Av4BAAD9B_4GA_8AABT7AQT1_gEA9w4BAwEAAAALCPn8AQAAAPvt_v8AAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgMiMAFCJNHeAaAdT7CwEpCQLf9b3jAf8t5wAcBvD1D-r1yPoC_wkBA-m8AAAACvjsHAMAz18kGckO8xfl274B7zx_-TYKOvkVB90iPvH9HxcBHt78AOUCy9oTBiQcKNIdIAAtvWpCOzgTQAlIb1ACKq8GEAwaoAYAABRCAADQwQAAQEIAAMDAAADQwQAAoEEAAGBCAACowQAAMMEAAGBBAABAQAAAaEIAAEDAAACwQQAASEIAABzCAAAUQgAAEMIAAEBBAAAAwQAAKMIAANDBAAA8wgAAlkIAAADBAACAvwAAXMIAAKBBAACYQQAAlEIAALDBAACAvwAAAAAAAAxCAADgwQAAMEEAAPjBAABwQQAAwEAAANhBAACAwgAA0EEAADBBAACwwQAAMEEAAIC_AADQQQAAWMIAAEBCAABcQgAAEEEAAADBAABAQQAANEIAAKDAAAAwwgAAkMIAACxCAADIQQAAmkIAABDBAACwQQAAjMIAAFBBAAC4wQAAQMIAAEDBAADEwgAABMIAAABBAADQQQAAqEEAAIDBAABwQgAAoMEAAGTCAAB0wgAAwMAAAOBAAAAAQQAAZMIAANhBAAAAwgAADMIAACRCAACuQgAAKMIAACDBAAAIQgAAgL8AAEjCAACAPwAAOEIAAEBAAADYQQAAOMIAABxCAABAwAAAjEIAAMZCAACYwQAAQEIAALhBAACYwQAAwMEAAABAAADYwQAAuEEAAKbCAACMQgAAZEIAAABBAACwwQAAmMEAAMDAAACmQgAAEMEAACTCAABcQgAAoMIAAMDAAACgQQAA4EEAAJDCAACAwAAAUMEAAJDBAAAkwgAAAMAAAJBBAAA8wgAAYMIAADBBAABoQgAAAEEAAMBAAAAkQgAAwMEAAAzCAAD-wgAAKEIAACRCAACYQQAA4MAAAKDAAABoQgAADMIAAGhCAAAAwQAAgMEAAAjCAADoQQAAyEEAABDCAAC0wgAAcEEAAEzCAAAYQgAAGMIAAEBBAAB4wgAAQEAAAIDAAADwQQAAgkIAADBBAACAvwAAUMEAABxCAAAIwgAAkMIAABBBAADAQQAAmMEAADDBAAAkQgAAeEIAABBBAADYQQAAdEIAALjBAADswgAA8MEAADDBAAAUQgAAiMEAAATCAAA4QgAAcMEAAODAAACgwAAAYEEAAIDBAADgQAAAMMEAAHRCAADYwQAACEIAANhBAAB0wiAAOBNACUh1UAEqjwIQABqAAgAAiL0AADC9AACmPgAAmD0AAAy-AAD4PQAAsr4AANa-AACAuwAAED0AAAw-AAAQvQAAQDwAACw-AAAQvQAANL4AAMg9AACovQAA2L0AAFA9AAB_PwAAgLsAABS-AABkPgAAPL4AAKi9AACIvQAAcL0AADw-AADoPQAAoLwAAHC9AAAsvgAADD4AAKA8AAAUvgAAqD0AAOi9AABEvgAAHL4AACQ-AAAwvQAAED0AAIA7AAA8vgAAFL4AAJY-AACoPQAANL4AAJa-AABQvQAAUD0AAK4-AABQPQAAZL4AADA9AAAHPwAAuD0AAIC7AAC4PQAAJL4AAHC9AABQPQAAmL0gADgTQAlIfFABKo8CEAEagAIAAM6-AABAvAAAgLsAAAG_AADIPQAAUD0AAEw-AACOPgAABL4AAGw-AAC4vQAAcD0AAEC8AABAvAAARL4AAKA8AAAEvgAAJT8AADy-AADoPQAAyL0AAOi9AACIvQAAgDsAAIC7AABAPAAAEL0AADC9AABcPgAAgDsAAKC8AABwPQAAXL4AAEA8AACgPAAAqL0AANo-AABQvQAA4LwAAKg9AACoPQAAor4AAKi9AAAwPQAA-D0AAES-AAB_vwAA4DwAAPi9AABcPgAAXD4AAKg9AAC-PgAAoDwAAFC9AACgPAAAmL0AAOi9AABwPQAABD4AAHA9AAAsvgAAZL4AAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7Vk21ZDp2nM","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8552506638567293509"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16379269653618260574":{"videoId":"16379269653618260574","docid":"34-8-6-ZCEAAA5D04E973718","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2103291/b702dbcab6946fa4fb6fd30ac2a11d27/564x318_1"},"target":"_self","position":"6","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2vLktdYL3bg","linkTemplate":"/video/preview/16379269653618260574?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学选修一第一章 第二讲 空间向量基本定理(课堂实录)","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2vLktdYL3bg\",\"src\":\"serp\",\"rvb\":\"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_E9MOggQkAYAEKyqLARABGniB-_8B__sGAPb-AwX-Bf4B7AP8-_sA_wD8AfsF_QX-AO4G_v4D_wAA_gsGAgAAAAABBwH-8v4BAAwCBv39AAAA-ff8_fwAAAAHBv8C_gEAAP0H_gYD_wAAFPsBBPX-AQD3DgEDAQAAAAUM-gIAAAAA--3-_wAAAAAgAC3En-M7OBNACUhOUAIqcxAAGmAxIQAUJEse4BkBzPkLAigLAuDzvOMA_y7mAB0G7vUP6vPI-QL_CQMG6rsAAAAL-esdAwDPXyYZyBD0F-bdvP7yP3_2NAo4-hUA3SVA8v4dGP8d3vsA5APR1w8IIxwn0R0gAC0dqUE7OBNACUhvUAIqrwYQDBqgBgAAXEIAAOBAAAD4QQAAFMIAADTCAAAgQQAAoEIAAJhBAAAYwgAA4EAAAFBBAACYQQAAAAAAAFBBAAAkQgAA4MEAABhCAAAMwgAAAEAAAKhBAAAQwgAAJMIAAHTCAACwQgAAgL8AAAjCAACgwQAA4EAAAIA_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-AAAQPQAAJL4AAFA9AACqvgAA2r4AABA9AABAPAAAJD4AAIC7AACAuwAAHD4AAJi9AAAMvgAAiD0AAKi9AABQvQAAgLsAAH8_AAAwvQAAuL0AAFQ-AABUvgAAuL0AAIi9AAAwvQAAND4AADA9AACAOwAAoLwAACy-AADYPQAAED0AAAy-AAAMPgAAyL0AAES-AAA0vgAARD4AAFC9AABQvQAAoDwAAFS-AAAEvgAAnj4AAKg9AAAMvgAAfL4AAKC8AAAQPQAAmj4AAKC8AABEvgAAcD0AAPo-AAC4PQAAQDwAAPg9AAAsvgAAUL0AAOA8AACIvSAAOBNACUh8UAEqjwIQARqAAgAA0r4AAEC8AABAPAAAD78AAPg9AAAcPgAAkj4AAFQ-AAAkvgAAdD4AALi9AAAwvQAA2L0AABC9AADYvQAAgDsAAOC8AAAhPwAADL4AABQ-AACAOwAA4LwAABC9AACIPQAAEL0AAKA8AADgvAAAUL0AACQ-AABQPQAAoDwAAKA8AAAsvgAAuL0AAEA8AAAQvQAAlj4AAAy-AAC4vQAALD4AAKA8AAA0vgAA2D0AAKg9AADoPQAAiL0AAH-_AAAQPQAAcL0AAFw-AAAkPgAAcD0AAN4-AACAuwAAED0AAIA7AABAvAAAyL0AAFA9AAAwPQAAMD0AAHC9AAD4vQAAoDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=2vLktdYL3bg","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16379269653618260574"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9945964813941334783":{"videoId":"9945964813941334783","docid":"34-11-1-ZEEB0CDA25A087A66","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4586719/d92abc405d76fc98ce55aa7922cda249/564x318_1"},"target":"_self","position":"7","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DN512rHKnndI","linkTemplate":"/video/preview/9945964813941334783?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学选修一第一章 第三讲 空间距离","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=N512rHKnndI\",\"src\":\"serp\",\"rvb\":\"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-_AD-AwD2_gMF_gX-AesD_Pr7__8A_AH7Bf0F_gDtB_3-A_8AAPUPCAD7AAAAAQgB_vL-AQANAgb9_QAAAPzs-vkAAQAABwf_Av4BAAD8CP4GBP8AABX7AQX0_gEA8gsCAQT5-AUFDfkDAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgOSYAFRpJGuQYBuIOA_8oB_fY_c3w_v8k4AAbDOPyC934xPwD_wkBAuG5AAAADevoKgkAyV8nFMwACv7e57wD4UZ__TMGQu8O-twcPuj-JykMKuIAAN4E1egN-SoXJusrIAAteGdAOzgTQAlIb1ACKq8GEAwaoAYAAGRCAAAAwQAAwEEAABDBAAA0wgAAEEEAAHhCAACAvwAAEEEAACBBAACAPwAAQEEAALhBAADQQQAAiEIAAATCAABkQgAABMIAAHBBAACAQAAAUMIAAEzCAABAwgAA2EEAAATCAADgwQAAQMIAAJhBAABAwQAAfEIAAHzCAAAQQQAAyMEAAEBAAACKwgAAoEAAAEBBAAAkQgAAoMEAAKBBAADQwQAA2EEAANhBAAAowgAA2EEAACTCAADYQQAAMMEAABhCAACAQgAA6EEAABDBAAAAQAAATEIAAABCAADQwQAATMIAAJhBAADoQQAArkIAAIBBAAAwwQAAhMIAAKjBAAAwwgAApMIAACDCAADuwgAAkMEAAIA_AADQQQAA6EEAAJjBAAAgQQAAIMEAALLCAADGwgAAAMEAACDBAADYQQAAYMIAAFRCAABAwgAARMIAAIBBAACyQgAAQMIAAMDAAADYQQAAUEEAAODBAAAwwQAAgD8AAADAAAAUQgAAAMIAAIBAAAAAQAAAMEIAALxCAAAQwgAASEIAAKBBAACIwQAAgMEAAKBAAAAQwgAA2EEAACTCAAB0QgAAkkIAAADBAACAQAAAYEEAAJjBAAB0QgAAgMAAAAjCAAAoQgAAoMIAAADBAADYQQAAwEAAAFjCAACgwAAAmMEAAIDBAACQwQAA-MEAAIA_AAAYwgAAOMIAAIDBAACqQgAAMMEAAOBAAADgQQAA4EAAAIA_AAAAwwAASEIAAMhBAAAMQgAAmMEAAGBBAAAoQgAASMIAAJhBAABAwQAAoMEAADTCAAAUQgAAQEEAABDCAACIwgAAcMEAAK7CAAAAQgAARMIAAIBAAACQwgAAgEAAAIA_AABgQgAAMEIAAIhBAADgQQAA4MAAAEBCAAAUwgAAhsIAAIBBAAAYQgAAIMIAALjBAABUQgAAuEEAABBBAADAQAAAKEIAAAzCAACmwgAAwMAAAEBBAAA8QgAAAMIAABDBAAAoQgAA2MEAAHBBAACgwAAAQMEAAEBAAAAAwAAABMIAAExCAAAswgAAfEIAAPBBAACAwiAAOBNACUh1UAEqjwIQABqAAgAA2L0AAKA8AACePgAAqD0AAPi9AABQPQAAlr4AAN6-AACgPAAAMD0AAAw-AACAOwAAEL0AAPg9AAAwvQAAFL4AAOA8AACYvQAAuL0AAEA8AAB_PwAAiL0AAPi9AABkPgAAPL4AAIi9AAC4vQAAQLwAACw-AACoPQAAQLwAADC9AAAkvgAADD4AAOA8AAAUvgAA6D0AABS-AAA8vgAAJL4AAFQ-AABwvQAAEL0AAIA7AABUvgAABL4AAJo-AAC4PQAAPL4AAHy-AACgvAAAUD0AAI4-AACgvAAAbL4AAHA9AAD-PgAAqD0AAIA7AACoPQAAJL4AAFC9AABQPQAAmL0gADgTQAlIfFABKo8CEAEagAIAAL6-AACgvAAAEL0AAPq-AADYPQAAiD0AACQ-AACSPgAALL4AAGw-AADovQAAgDsAAFC9AABQvQAAJL4AABA9AACgvAAAHz8AABS-AAAMPgAAML0AAEA8AACIvQAAMD0AADC9AACgPAAAML0AALi9AAA8PgAAcD0AAIC7AABQPQAAPL4AADC9AAAwvQAAEL0AAL4-AADYvQAAmL0AALg9AACgvAAAbL4AAKC8AABwPQAAJD4AADC9AAB_vwAAQLwAAAS-AAAcPgAAXD4AAHA9AADKPgAAgDsAABC9AABAPAAA4LwAAAy-AAC4PQAAHD4AAOA8AAAMvgAAXL4AAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=N512rHKnndI","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9945964813941334783"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2359818096684144100":{"videoId":"2359818096684144100","docid":"34-6-16-Z9D46DBC8C7D552FF","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/906644/a17c9f6aadedca7fe3fa96f9eebd5f21/564x318_1"},"target":"_self","position":"8","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYV_HYPCReFA","linkTemplate":"/video/preview/2359818096684144100?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学第二章直线与圆 第一讲 直线与方程(课堂实录)","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YV_HYPCReFA\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD2_gMF_gX-AewD_Pv7AP8A_AH7Bf0F_gDuBv7-A_8AAP4LBgIAAAAAAQcB_vL-AQAMAgb9_QAAAPn3_P38AAAABwb_Av4BAAD9B_4GA_8AABT7AQT1_gEA8wsCAQT6-AQFDPoCAAAAAPvt_v8AAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgMSIAFCRNH90aAcz7CgApCwHf9LvhAf8v5QAdB-31EOnzx_kC_wkDBum6AAAADPnqHgMAzWEnGccP8xfl3bz-8kF_9TYLOfkVANslQe_-HRoAHt38AOMCz9YPCCUbKNIdIAAty08-OzgTQAlIb1ACKq8GEAwaoAYAAARCAACYwQAAlkIAADDCAACwwQAAmEEAAI5CAADAQAAARMIAAKDAAACwQQAAAEIAAHDBAADAQQAAZEIAABjCAAAAAAAA4MAAAKBAAACwQQAAQMEAAADCAAA8wgAAqEIAAKhBAACQwQAADMIAAEDAAAAAQAAAoEIAAAAAAACgQAAAwMAAAJBBAABwwgAAAAAAAKDBAACYQgAAwEAAAARCAACQwQAAqEEAANDBAADgwQAAFEIAAKjBAAAEQgAAgEAAAHBCAACGQgAAQEEAAEDAAAAAwAAADEIAAKjBAABcwgAA5sIAAERCAADgwAAAikIAAJjBAABQQQAAoMIAAADAAAAAAAAACMIAAATCAACCwgAABMIAALDBAADwQQAA2EEAAFDBAADUQgAA4MEAAFDCAAB0wgAAgD8AAIBBAADoQQAAQMIAAMhBAAAcwgAAGMIAAPhBAAD4QgAAEMEAABBBAAAwQQAAMMEAABjCAACAvwAABEIAAEDAAAAQQQAAHMIAAEBAAADAwAAAukIAAKpCAADYwQAAEEIAAJhBAACYwQAARMIAAOBAAAAwwQAAJEIAADTCAACGQgAAVEIAADRCAAAowgAAmEEAAABCAADGQgAAYMEAAGDBAABQQgAAjsIAAIBAAAAAQAAAYEEAADTCAACIwQAAoMEAAATCAABEwgAAgL8AAFDBAABAwAAA-MEAAMBAAACIQgAAYEEAAMjBAAC4QQAAAMEAAHzCAADmwgAAwEAAACBCAAAUQgAA4MAAAABCAABUQgAAwMAAAKBBAAAAwAAAwMEAAEDCAAAYQgAAcEEAABjCAADIwQAAmEEAAGDCAAAAQgAABMIAANhBAACIwgAAUEEAAOhBAABgQQAAJEIAAGBBAACIQQAAAMEAAOBBAAAEwgAAnMIAADRCAACYQQAAgMAAADDBAADAQAAAaEIAAKDAAAAAQAAAZEIAAKjBAADWwgAADMIAAEBBAABYQgAARMIAAHDBAACmQgAAGMIAALjBAADgwQAA0EEAAJDBAACIQQAAUEEAAPhBAAAYwgAA6EEAAFBBAAAgwiAAOBNACUh1UAEqjwIQABqAAgAA-L0AAEC8AACaPgAAcD0AABy-AABwPQAAtr4AANq-AADgvAAA4DwAADw-AAAQvQAAQDwAABQ-AABQvQAANL4AAMg9AACIvQAAiL0AAJg9AAB_PwAAiL0AAES-AAAkPgAAVL4AAPi9AACIvQAA2L0AADw-AAAEPgAAQLwAAKA8AAAEvgAA6D0AAEA8AADovQAA2D0AAOi9AAAcvgAAJL4AAAQ-AAAQvQAAQLwAAIC7AAAcvgAA2L0AAJY-AACYPQAARL4AAHS-AACgvAAAED0AAKI-AACgPAAAbL4AAHA9AAADPwAAQDwAAHA9AAAUPgAAHL4AADC9AABQPQAAiL0gADgTQAlIfFABKo8CEAEagAIAAPa-AAAwvQAAoLwAAA2_AACYPQAA4DwAALo-AABkPgAALL4AAGQ-AABwvQAAQLwAAHC9AABQvQAAVL4AAIC7AAAEvgAAIT8AAHC9AAC4PQAAiL0AAKi9AAC4vQAAmD0AAOC8AACovQAAoDwAAJi9AACGPgAAiL0AAIC7AADgPAAAfL4AABC9AADgPAAAJL4AAPo-AAAMvgAAuL0AADw-AAAwPQAAZL4AAIC7AADIPQAAJD4AAAy-AAB_vwAAoLwAAJi9AACCPgAAgj4AALg9AADmPgAAcL0AAEA8AACgvAAAcL0AAOC8AABQPQAAiD0AAMg9AACYvQAAkr4AAJi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=YV_HYPCReFA","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2359818096684144100"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14509569646476784100":{"videoId":"14509569646476784100","docid":"34-1-2-ZBDF533036EDB22CE","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2358383/7c33757954ce9a17f480879d6d93a156/564x318_1"},"target":"_self","position":"9","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dd1wlUOs_1F8","linkTemplate":"/video/preview/14509569646476784100?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学选修三第七章随机变量及分布第一讲条件概率与全概率公式","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=d1wlUOs_1F8\",\"src\":\"serp\",\"rvb\":\"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_E40SggQkAYAEKyqLARABGniBAP3__v4DAPD-AAX4A_8B4QABAPwBAQD8AfsF_QX-APEKAvv6AAAA-AUCAgAAAAD-_v7_-P4AAA0CBv38AAAA--z6-f8BAAD4BvkA_gEAAPgPAAQD_wAAFfsBBfT-AQD8AQMG_v8AAAsI-fwBAAAA__YB_gAAAAAgAC1S99o7OBNACUhOUAIqcxAAGmBCIwAdJksUAhMB4fkVETINDNfx1Av3ACPjABkH_PgF6f699AL_Cv364LwAAAAA7ekfBgDTYBgU0Q4CDt3YqwznOX8MMgM7_hIZ7hk8CPo0GAAh2PQA6grD5hEBJy0pyCQgAC05dj47OBNACUhvUAIqrwYQDBqgBgAACEIAAJhBAABgQgAANMIAALjBAAD4QQAAkkIAACDBAABcwgAAIMEAAOBAAAAAQgAA4MEAAKBBAACWQgAAQMIAAEBBAAAQwQAAwMAAALBBAAAAwQAAJMIAACDCAACsQgAACEIAACDCAADgwQAAiMEAAKBAAACgQgAAQEEAAIDAAACAQQAAoEEAACTCAAC4QQAAkMEAAJpCAACgQAAAPEIAABBBAAAMQgAAYMEAAMDBAABQQgAAIMEAABBBAACgQQAAbEIAAIxCAADAQAAAoMEAAMDAAACwQQAAgMEAAFTCAADqwgAAXEIAABBBAACGQgAAiMEAAMBAAACQwgAAMMEAAAAAAADowQAABMIAABDCAAAUwgAAwMEAAExCAAAgQQAAgEAAAKRCAADIwQAAwMEAADDCAACYQQAA2EEAAIhBAABIwgAA-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_AACKQgAAQMAAAAAAAAAgQgAA8MEAANTCAAAkwgAAQMAAAHhCAABEwgAA4MEAANpCAAA0wgAAkMEAAODAAABwQQAAwMEAAFBBAADgQAAAGEIAABjCAAD4QQAAkEEAAAzCIAA4E0AJSHVQASqPAhAAGoACAAAkvgAA4LwAAJY-AAAwPQAAuL0AAJg9AACSvgAA7r4AADA9AACgPAAALD4AAKA8AABAvAAABD4AAHC9AAAcvgAAuD0AAIi9AADIvQAAiD0AAH8_AACAOwAANL4AAFQ-AABEvgAA6L0AAEC8AACIvQAAND4AAHA9AABAvAAAgDsAABS-AADIPQAAUD0AAAS-AADYPQAAqL0AAAy-AAAMvgAADD4AAKC8AACovQAAgDsAADy-AAD4vQAAnj4AAKg9AAAsvgAAbL4AAKA8AABQPQAAlj4AAKA8AACOvgAA4DwAAAk_AADgPAAAQLwAAKg9AAA8vgAAQLwAAOA8AACovSAAOBNACUh8UAEqjwIQARqAAgAArr4AAAy-AABQPQAAD78AAFw-AACIPQAAHD4AAGQ-AACGvgAAVD4AAJi9AABAvAAAiL0AAHC9AADovQAAQLwAADC9AAAlPwAA6L0AAAQ-AACIvQAAQDwAABC9AABAPAAA4DwAAHC9AAAQvQAAcL0AAHQ-AACIPQAAQDwAAHA9AAAsvgAAiL0AAKA8AABQvQAAnj4AAJi9AABwvQAAHD4AAMg9AACSvgAAmL0AADA9AABAvAAABL4AAH-_AABAPAAAML0AAGQ-AAAEPgAAQLwAAJo-AACgvAAAoLwAAIC7AADgvAAAcL0AAOA8AACYPQAAgLsAAAS-AAAkvgAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=d1wlUOs_1F8","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14509569646476784100"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14529511911212472462":{"videoId":"14529511911212472462","docid":"34-0-6-ZA30F0E3E43F03220","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4569018/c583d58a21a7dc9d139fbc7cc620156f/564x318_1"},"target":"_self","position":"10","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1mH_yiAMkTI","linkTemplate":"/video/preview/14529511911212472462?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高中数学公开课第三讲(下)——基本不等式及应用","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1mH_yiAMkTI\",\"src\":\"serp\",\"rvb\":\"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_E84WggQkAYAEKyqLARABGniB9_78AP4DAPb-AwX-Bf4B6wP8-vv__wD8AfsF_QX-AO0H_f4D_wAA9Q8IAPsAAAABCAH-8v4BAA0CBv39AAAA_Oz6-QABAAAHB_8C_gEAAPwI_gYE_wAAFfsBBfT-AQDyCwIBBPn4BQUN-QMAAAAA--z-_wAAAAAgAC0AU9s7OBNACUhOUAIqcxAAGmAyIwAVIkwd4RoB0_oLAikJA9_1vuUB_yzoABwG8PUO6vXI-gL_CQED6bwAAAAK-e0cAgDQXiQZyQ_0F-XbvgHvPH_5Ngo5-hUH3iI98v0gFgEd3vsA5gLM2hMGIxwn0R0gAC0n-kM7OBNACUhvUAIqrwYQDBqgBgAABEIAAODBAAD4QQAAUMEAAODBAAAAwAAAbEIAAADBAABwwQAAcEEAACBBAABAQgAA4MAAAPBBAAA0QgAAsMEAAOBBAAAYwgAAEEEAAIBAAAAowgAAkMEAAKTCAABgQgAAgD8AAEzCAAAYwgAAYEEAAADBAAB0QgAA0MEAAFDBAAAAAAAAAEAAAFjCAAAAQQAAIMEAAOBBAAAAwAAA6EEAAFjCAADgQQAAsMEAACzCAADAQQAABMIAAIhBAADowQAA-EEAAFRCAACAPwAAwMAAAAAAAAB4QgAAiEEAAFDBAADYwgAAGEIAALhBAACGQgAAIMEAAKhBAAC2wgAAQMEAAODBAAAIwgAAYMEAAKLCAABEwgAAYMEAACRCAACAQAAAoEAAAIBCAAAAwQAAZMIAAIzCAACAwQAAUMEAALhBAABAwgAAGEIAABDCAADYwQAAJEIAAPRCAAAcwgAA4MAAAMBBAACAQAAAHMIAAOBAAAAUQgAAgEEAAKBAAAAUwgAA6EEAAKDAAABoQgAAnkIAAIDBAABUQgAAgEEAANDBAACYwQAAIEEAACDBAADIQQAAqsIAAGxCAABkQgAA4EEAAODBAACgwAAAgD8AALZCAACAwQAADMIAAAhCAACewgAAIMEAAOBAAACYQQAAlsIAAIDAAABAwAAA6MEAAFTCAACAQAAAAAAAADjCAAAQwgAA-EEAAHBCAAAAwAAAAMAAAChCAABAQQAA8MEAAObCAAAkQgAA2EEAAARCAACgwQAAHEIAAGRCAADIwQAA4EEAAIDAAABAwAAAEMIAACxCAADYQQAAIMIAAGjCAAAwQQAAZMIAALhBAAAUwgAAuEEAAGDCAACgQAAA4MAAABRCAACAQgAAgD8AAHBBAADAwAAAQEEAABTCAACowgAAFEIAAOBBAACAwAAAAEAAACxCAACGQgAAQMEAALhBAABcQgAAcMEAAOTCAACwwQAAcMEAACRCAABYwgAAKMIAAIJCAADgwQAAoMAAAHDBAACAQQAAwMEAAABBAAAAwQAAYEIAAFDCAABMQgAABEIAAJLCIAA4E0AJSHVQASqPAhAAGoACAABEvgAAuL0AAJY-AACIPQAAqL0AAPg9AACuvgAA2r4AADC9AAAQPQAAFD4AAKA8AADgvAAAHD4AAJi9AAAEvgAADD4AALi9AAC4vQAAMD0AAH8_AACgPAAA6L0AAEQ-AABkvgAAFL4AAFC9AABQvQAAVD4AADA9AACAuwAAoDwAAAS-AADYPQAAUD0AACy-AADoPQAAuL0AAPi9AAAUvgAARD4AALi9AABAPAAAgLsAACy-AAAkvgAAbD4AADA9AAAcvgAAir4AABA9AABwPQAAXD4AAKA8AACWvgAAoDwAAAU_AACYPQAAgDsAANg9AABsvgAAoLwAADA9AADYvSAAOBNACUh8UAEqjwIQARqAAgAAnr4AACy-AAAEvgAAB78AANg9AACAuwAAHD4AADw-AAA8vgAAFD4AAAy-AADgPAAAUD0AAIi9AAAUvgAAoLwAAOi9AAAbPwAARL4AABQ-AAAMvgAAoLwAAOC8AACgvAAAcD0AAKA8AACYvQAAqL0AAHw-AABAPAAAgDsAADA9AAA8vgAAyL0AAKA8AADIvQAAwj4AAKi9AADgvAAA2D0AAAw-AACGvgAABL4AAKg9AACAuwAAdL4AAH-_AABQvQAAHL4AAGw-AABMPgAAgLsAAGw-AAAQPQAAgLsAAEC8AACYvQAAqL0AADC9AADYPQAAcD0AAKC8AAAUvgAAPL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1mH_yiAMkTI","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14529511911212472462"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13296444663384722461":{"videoId":"13296444663384722461","docid":"34-0-13-Z99B78164A3D9D2A5","description":"高二数学期末复习空间向量及立体几...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2730050/b455abf6fa4654318b8952157e29d90b/564x318_1"},"target":"_self","position":"12","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfKk7kG0jORA","linkTemplate":"/video/preview/13296444663384722461?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学期末复习空间向量及立体几何第三讲空间向量的应用(一)","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fKk7kG0jORA\",\"src\":\"serp\",\"rvb\":\"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_E-8KggQkAYAEKyqLARABGniBAwAFAfwEAPkBAAn3Bv4C7g0C__r-_gDzAPkNBQL_AAQJBQD4AQAA6_X-DQIAAAD5BAEA__8AAAf_AvUEAAAA-QMD8gEAAAD-Bv4K_wEAAPUGAgIDAAAACwL8Avb-AQALBAEF_P8AAAMA-v8AAAAAAPH6DAAAAAAgAC0dlt87OBNACUhOUAIqcxAAGmA-IgAbI0sX-BoC3vsLDC8LBNr1zvz8_ybhAB0H9fgI6fnA9___C_8A4rwAAAAF7-sdBQDUXiIVzg8AD93UrgTjPX8CMwY7_RAP7B49_vsrHAEh2_MA6QLM4Q0DJiUq0CggAC3COkE7OBNACUhvUAIqrwYQDBqgBgAAKEIAAMDAAAAkQgAAJMIAAPjBAACgQQAApEIAAADAAADwwQAA4MAAAFBBAADoQQAAIEEAAKBBAABwQgAALMIAABRCAACowQAA4EEAAJBBAABgwQAAGMIAADzCAACgQgAAgEAAAIDBAACowQAAIEEAAADBAACaQgAA0MEAAMDAAAAAQQAA2EEAAIjCAACoQQAAmMEAAFBCAAAAQAAAMEEAAADBAAAAQgAA4EAAAOjBAAAIQgAA4MEAAKhBAACAPwAACEIAAIpCAAAwQQAAgMEAAPDBAAAIQgAAkMEAACzCAACywgAAPEIAAHBBAACqQgAAEMEAAEBAAACIwgAAEMEAANjBAAAEwgAAGMIAALbCAAAwwgAAUMEAABhCAACoQQAAAMAAAFRCAAAUwgAALMIAAKbCAACAwAAA2EEAAGBBAABYwgAAAEIAANjBAABAwgAA-EEAAOpCAACowQAAIMEAAEDAAACAQAAA4MEAAHDBAAAgQgAAQEAAALBBAAAIwgAAYEEAAJBBAAB0QgAArkIAAKDBAAD4QQAABEIAAJDBAAAgwgAAIEEAAAAAAAA4QgAAiMIAAFBCAAB0QgAAwEEAALDBAAAAQgAA-EEAAKJCAAAwQQAAIMIAAFBCAACuwgAAIEEAAIBAAACgQQAAdMIAAKDBAAC4wQAAwMEAAGzCAAAQwQAAoMAAAJDBAAAAwgAAAAAAAJhCAACAwAAAQEAAAIBBAACAwQAASMIAAPbCAAAAQgAAcEEAACxCAACAPwAAgEEAAExCAABgwQAAUEEAAIA_AADQwQAA8MEAADBCAACoQQAAyMEAAEzCAAAAAAAAqsIAAChCAAAswgAAAEEAAHDCAABAQQAAsEEAACBCAABcQgAAEEEAAIBAAAAAwgAAAEIAACjCAACkwgAAFEIAAKBBAAAwwQAA4MEAAMhBAACGQgAAwMAAAABAAACWQgAA8MEAAOLCAADYwQAAcMEAAIRCAABYwgAAUMEAAFBCAAAAwgAAsMEAAADAAAAgQQAA4MEAAABAAAAAQQAAKEIAADDCAABMQgAA6EEAAGDCIAA4E0AJSHVQASqPAhAAGoACAAAkvgAAyL0AAJI-AABwPQAAFL4AAAQ-AAC6vgAA2r4AAJg9AABQPQAADD4AAIA7AACgPAAATD4AAIC7AADovQAAUD0AAKi9AACIvQAAcD0AAH8_AABQPQAABL4AAJY-AAA8vgAAuL0AAIC7AACYvQAADD4AABA9AAAwvQAAoDwAACy-AAAMPgAAyD0AAPi9AAAkPgAAUL0AACS-AAAEvgAAFD4AANi9AADIvQAAiD0AACS-AAAEvgAAbD4AAKg9AAAEvgAAnr4AABA9AACAuwAArj4AAKC8AAB0vgAAED0AABE_AAA0PgAAEL0AADQ-AAAEvgAAoLwAAIC7AABQPSAAOBNACUh8UAEqjwIQARqAAgAAgr4AAIi9AAAQPQAAFb8AABw-AAAUPgAAVD4AACQ-AABUvgAAij4AALi9AACYvQAAUD0AAHC9AADIvQAAEL0AAIC7AAAtPwAAcL0AAAw-AADIvQAAoLwAADA9AAAQPQAAQDwAAOA8AAAQPQAAcL0AADw-AAAwPQAAQLwAAIA7AADovQAAcL0AAMi9AAC4vQAAFD4AAMi9AADgvAAA6D0AAIg9AAAEvgAAyD0AABA9AACgvAAAuL0AAH-_AABQPQAAQLwAAII-AAAMPgAAgLsAAK4-AACAOwAAgLsAAOC8AABAPAAAEL0AADC9AACAuwAAcD0AANi9AAAsvgAAUL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=fKk7kG0jORA","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13296444663384722461"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10391420543989009377":{"videoId":"10391420543989009377","docid":"34-11-3-ZB5FEEA1C4E4E0185","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3581144/e0aa84fa04b2b24c937b81f1f92c86c9/564x318_1"},"target":"_self","position":"13","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJgGtohXk1IE","linkTemplate":"/video/preview/10391420543989009377?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高一数学必修第二册 第二十五讲 空间角的计算(1)课堂实录","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JgGtohXk1IE\",\"src\":\"serp\",\"rvb\":\"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_E5INggQkAYAEKyqLARABGniB-_8B__sGAPj9CP78A_8B5Qj__fwAAAAB__7-AgT-AO4G_v4D_wAA-AUCAgAAAAD2AQP89P8BAAwCBv39AAAA_vYD-QIAAAAGAf3-_wEAAP0H_gYD_wAACwL8Avb-AQD6BQEFBAEAAAYO_fgBAAAA--3-_wAAAAAgAC3En-M7OBNACUhOUAIqcxAAGmAgIAARFzMU7BQE4vwBAhsI_ez81u0BABryABUK9fkR9vbf-vv_Cv8E9NMAAAAG__UYAADhOiYK2wz7EO_t0vzsJX_2JgEi-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-MEAAJBCAABAQgAABEIAAFDBAABsQgAAyEEAAIRCAADgQAAAcMEAABhCAACswgAAyEEAALBBAACYQQAAZMIAAIDBAAD4wQAAYMEAAIbCAADwwQAAQMAAAGBBAAAgwQAAgD8AAJxCAADgQAAAmMEAAMBBAAAAQAAAWMIAAOjCAACgwAAAkEEAACBCAAAAAAAABEIAADRCAAAgwQAAAMEAAABBAABAwQAAKMIAABRCAABwQQAAIMIAAPjBAAAQwQAAoMIAAHRCAAAMwgAAiEEAAJjCAAAkQgAA4EAAAPhBAAA4QgAACEIAAARCAAAAwgAALEIAAEzCAACUwgAA-EEAAIBAAABQwQAA4MEAAKBBAABcQgAAAEEAAATCAAB4QgAAoMEAAKTCAABUwgAAkEEAAKBCAAAkwgAAgEAAAJhCAAAYwgAAwMAAAKDBAACwQQAAoMAAAADAAAAQwQAAGEIAAKDBAAAEQgAAkEEAADzCIAA4E0AJSHVQASqPAhAAGoACAAC4vQAAQLwAAIY-AAAwPQAAHL4AAMg9AACavgAA4r4AABA9AACgPAAAHD4AAIC7AADgvAAAHD4AADC9AAAEvgAAcD0AAJi9AADovQAAoDwAAH8_AAAwvQAA6L0AAFQ-AABUvgAAqL0AAJi9AADgvAAAJD4AAFA9AACAOwAAQLwAADS-AADoPQAAcD0AAAy-AADoPQAA2L0AAEy-AAAkvgAAPD4AAJi9AACAuwAAgDsAAFy-AAAMvgAAij4AAOg9AAAkvgAAjr4AAEC8AAAwPQAAnj4AAOA8AABcvgAAUD0AAAU_AACIPQAAoDwAALg9AADovQAAiL0AAFA9AABQvSAAOBNACUh8UAEqjwIQARqAAgAA1r4AAIC7AADgPAAAA78AACw-AAD4PQAAgj4AAGw-AABEvgAATD4AAHC9AABAvAAAcL0AABC9AADYvQAAgLsAAFC9AAAhPwAA-L0AACQ-AADgvAAAgDsAABC9AADgPAAAoLwAAIi9AAAQvQAAEL0AADQ-AACAOwAAQDwAABA9AAA8vgAAQLwAABA9AADYvQAAnj4AAMi9AACovQAALD4AAOA8AACOvgAAoDwAAHA9AACYPQAAqL0AAH-_AAAQPQAAmL0AAGQ-AAA0PgAAuD0AALY-AACgPAAAgDsAAEA8AAAQvQAAyL0AALg9AADIPQAAgDsAAAS-AAAUvgAAQDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=JgGtohXk1IE","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10391420543989009377"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18032856752232635523":{"videoId":"18032856752232635523","docid":"34-2-15-ZCEE43BDD7FCE99B3","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4246625/567a35140d207ec3bb879a008e3cbc13/564x318_1"},"target":"_self","position":"14","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0dsg8R8H72E","linkTemplate":"/video/preview/18032856752232635523?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高一数学必修第二册期末定时训练 试卷二试题解析(12 22题)","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0dsg8R8H72E\",\"src\":\"serp\",\"rvb\":\"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_E-IWggQkAYAEKyqLARABGniB-_oBBP4CAPf9CP77BP8B8AX_APr__gAC-voKBwX-AOsDBgAC_wAA8AAEBAAAAAD1AQP89P8BAAj_BAQEAAAA8vb_-AIAAAAAB_0A_wEAAAAP_QAD_wAAFfsBBfT-AQADBgIHAAAAABMS_PgBAAAA-_P7-QAAAAAgAC3CpNo7OBNACUhOUAIqcxAAGmA0HwAOGUQd5h3_1fUIDiQMB-7uyegB_yjoABcF-vUN9_bOBP3_EPoD7MUAAAAIAOwU-QDcUiAdzBT-JfbevgXvMn8DKQgv9xb65Sg3-QQTHP8j7_YA5gDj2Qv_Fhgk0yAgAC3eV1g7OBNACUhvUAIqrwYQDBqgBgAADEIAAOBBAAAoQgAAKMIAAJjBAABQQgAAKEIAAKhBAACGwgAAIMEAAMBAAABAQgAAaMIAAIhBAACKQgAAUMEAAMDAAAAgwgAA4MAAAJjBAAAgwQAAUMEAAJDCAADAQgAAokIAAEDCAADwwQAAhsIAAABCAABgQgAAREIAAABCAABAwQAAoEEAABTCAACIQQAA-EEAALpCAACAQQAAREIAAADAAAAgQQAAQMEAABTCAAAoQgAA6MEAAMDAAAAwQQAAkEIAAAxCAAAgwQAAgD8AADDBAACYQQAAwMEAACTCAADywgAAyEEAAIA_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-wgAArEIAACBBAACIQQAADEIAAABBAACaQgAA4MEAANBBAACAPwAALMIAAHzCAAAAwQAAAMAAAIpCAAAwwgAAaMIAAP5CAADwwQAAgMAAAABBAABgQQAAuMEAAJBBAACAvwAAgD8AAFDCAACgQAAAMMEAADDBIAA4E0AJSHVQASqPAhAAGoACAADIvQAAoLwAAIo-AAAwPQAAJL4AAMg9AACmvgAA3r4AADA9AADgPAAAHD4AADC9AABAvAAAJD4AADC9AAAMvgAADD4AAKi9AAC4vQAAQDwAAH8_AABAPAAA2L0AAFQ-AAAsvgAAuL0AALi9AACgvAAAJD4AAKC8AACAuwAAML0AABS-AACYPQAAQDwAADS-AABwPQAAuL0AAFS-AAA8vgAAJD4AAKC8AACIvQAAEL0AAES-AAAMvgAAmj4AAPg9AAD4vQAAgr4AAKC8AAAwPQAAnj4AAOA8AACCvgAAED0AAAs_AACoPQAAQDwAAKg9AABEvgAAcL0AABA9AADgvCAAOBNACUh8UAEqjwIQARqAAgAAAb8AAOC8AABQPQAAEb8AACw-AACYPQAAJD4AAGQ-AAA8vgAAfD4AALi9AABAPAAAcL0AAIA7AAAEvgAAQDwAAMi9AAAvPwAA-L0AAOg9AADgvAAAiL0AAOA8AABAvAAAoLwAAOA8AACAOwAA4LwAACw-AABQPQAA4DwAAOA8AAAsvgAAML0AAIg9AABwvQAAnj4AAKi9AAAwvQAAHD4AAIg9AACSvgAAQLwAAHA9AADgPAAALL4AAH-_AACAuwAA-L0AAIY-AAA8PgAAMD0AAMI-AABwPQAA4DwAAIA7AAAwvQAAEL0AABA9AADgPAAAMD0AAOi9AAD4vQAA4LwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=0dsg8R8H72E","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18032856752232635523"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16213303906678048797":{"videoId":"16213303906678048797","docid":"34-2-9-Z0254C1A6AC7A04FA","description":"新高考高三一轮复习教学视频 西瓜视频...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3379619/470f10063933aaf9989ebb3ad098aee1/564x318_1"},"target":"_self","position":"15","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWTILnAhI8FQ","linkTemplate":"/video/preview/16213303906678048797?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"新高考高三数学一轮复习第十七讲函数的零点 新高考高三一轮复习教学视频 西瓜视频","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WTILnAhI8FQ\",\"src\":\"serp\",\"rvb\":\"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_E8wSggQkAYAEKyqLARABGniB-_8B__sGAPD-AAX5A_8B5Qj__fwAAAD8AfsF_QX-AO4G_v4D_wAA-AUCAgAAAAD9BQH7-v4AAAwCBv39AAAA-ff8_fwAAAAAB_0A_wEAAPgOAAQDAAAAFPsBBPX-AQD8CAEA_P8AAAsI-fwBAAAA--3-_wAAAAAgAC3En-M7OBNACUhOUAIqcxAAGmAxIQAVID4Y8RMB3_0IBSIJBeL40_j7AB_oABMI9_gL7PnN-P__B_8A68kAAAAD9fAbBgDUTR0P1AUEDejkuP_sL3_6LgMy_hAC6Roz-wIkFv4c3vgA7wfT4xUDHSAd1hogAC1OfmE7OBNACUhvUAIqrwYQDBqgBgAASEIAAABAAAAsQgAA4MEAAATCAABQQQAAnkIAAADBAAD4wQAAgMAAAEBBAABwQQAA4MAAALhBAABgQgAAEMIAABhCAADgwQAAiEEAAJBBAAAIwgAA6MEAAGTCAAC0QgAAgMAAAAjCAAAgwgAAgMAAAAAAAACUQgAAoMEAAIA_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-MEAAOjCAAAQwgAAgL8AAIhCAABYwgAA4MEAAJpCAADQwQAAmMEAAADAAADAQAAAcMEAACBBAACAwAAAKEIAAEjCAABAQgAAsEEAAGzCIAA4E0AJSHVQASqPAhAAGoACAADYvQAAQLwAAJ4-AABQPQAA-L0AACQ-AACevgAA3r4AADA9AABAPAAALD4AAEA8AABAPAAADD4AAEA8AAAkvgAA-D0AAKi9AAD4vQAAmD0AAH8_AACIPQAADL4AAJY-AABUvgAAyL0AAFC9AADgvAAADD4AADA9AABAvAAA4LwAAEy-AAD4PQAAoDwAABS-AADIPQAA-L0AAFy-AAAsvgAALD4AAHC9AADYvQAAED0AACS-AAAEvgAAij4AANg9AADYvQAAnr4AAOC8AADgPAAAoj4AAKg9AACCvgAAED0AAB8_AACIPQAAEL0AAOg9AABMvgAAML0AAKA8AAAQvSAAOBNACUh8UAEqjwIQARqAAgAAXL4AAIi9AACoPQAAF78AANg9AABwPQAAcD0AAFQ-AAA8vgAAdD4AAKi9AABQvQAAQDwAAFC9AADovQAA4LwAAJi9AAApPwAAuL0AAAQ-AACYvQAAEL0AAEC8AACAuwAAoDwAADA9AABAvAAAEL0AADQ-AAD4PQAAgLsAABA9AACYvQAAEL0AAKi9AAAwvQAAHD4AABC9AADgvAAA-D0AAKg9AABUvgAAoLwAAKA8AABQvQAATL4AAH-_AAAEPgAAQLwAADQ-AACoPQAAEL0AAI4-AABAPAAAQDwAAIC7AABAvAAAML0AADC9AADgPAAA4DwAABy-AAAMvgAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=WTILnAhI8FQ","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16213303906678048797"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14513679860294337099":{"videoId":"14513679860294337099","docid":"34-6-15-ZBDB220A73AD98479","description":"高二数学期末复习选修三第四讲...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3860078/2a23d26cb6a8b6cfe3498ae1acc8de6f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ZM2EOAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_Ps4Lmvt0gQ","linkTemplate":"/video/preview/14513679860294337099?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学期末复习选修三第四讲分布列及期望与方差 西瓜视频","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_Ps4Lmvt0gQ\",\"src\":\"serp\",\"rvb\":\"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_E-AOggQkAYAEKyqLARABGniB-_8B__sGAPD-AAX5A_8B6gUG_vz__wD8AfsF_QX-AO4G_v4D_wAA-AUCAgAAAAD9BQH7-v4AAAwCBv39AAAA_O36-gABAAAAB_0A_wEAAPgOAAQDAAAAFPsBBPX-AQD8CAEA_P8AAAsI-fwBAAAA--3-_wAAAAAgAC3En-M7OBNACUhOUAIqhAIQABrwAX_3D__eEcICzRf2AQAS3AHrHUn_CiHk_7fo8QDQGusBBicLANMjzwA1AR3_wUfzAPz4yf4S9-MAP-QbACQVBQC_8hcASA4SAUzyBQAO69oAs-X8_uzq8gAW8dr_J_r--v7iKwAxG-z_6NbUADbRKQIw1P8CIOzxAArs2wPeIv8D4PHv_aT-8QIM8RX-4RATCBzn_QH6QQcCBRIDADzcBADg7Rj_8xPW_wz0-w3k4eMA4tvbABnt6gga7hUABP3r-gcQGvmz9A37Mvn79_oDEf3xMOv1-MzzEN_t-QPQyxAG3PLrAQpB-_7yEOn0H-fnCCAALU78Czs4E0AJSGFQAirPBxAAGsAHesXTvqEdpr10Yi-9HMg_vQnqjDuczC695sSiu04Tkbw5tK28MzIYPhA0cL18PcQ8WcBUvgSMjDkqz9c8mN0jPoFJkL1D9PW8QjssvRuyCz0q8Uq781kOvjhvNz12-yy7Hq92PX27Gz0OeKq8POmuPejUursTYGY6qv-NvdaDs73Unee8OWzBvaTF2b06Yw48qhjdvLgJEr0NkKK7i07WPV-GhT2uvwA9v-NKPfYLVj2W-f28EawFPFZbGDy8Kuu84zVPPnna67yDXcM87ve6vDreLr1hGRu9pOt4PCU2RLzWsPy7UtshvP2qt7wkUqq7I6lgvZBcmL3oJCW8Gmd4vBHGkbvSpDm87IbtPYz3gz1yW5E7F-8Xvvfdjj1qULQ8odxxPVsULDyBaLm7D7-GPe-crD3DVZQ8VmZFPQyoXD1bUOm8BYiSvehDIbzvmHA8v1paPHkXyT3DUAG8E7ysPXAk0D3690-8NSdPPVp7xLx7vBA8-rnMvbfrCDwzO2a8bV0lPUiVNz2BfGQ8xTVDPfhRDb4Jbyy7qzCMvRVGabwnQck6RLFLPXldHLz_1gi7TvDNPWYz573_VwA8H304PRFBq70xYTQ8MJslPfsH7DylQRs8dRBKPTQvR73ER927rYEyvbdWxTz-MPy7hSe0vCxG3Ty5kGQ7o2iUPEWupbyWk7O7TbrtPEQc3jmN9So7Zi2KPTSdQr1Ztj27CyToPasBL73sydM5CqNZvY5p2LvLKvC6G4hAvLFr-722vp654luYPbokmLwdn3s5vaLAPAS_lbu5cPq5v9UKvmgrlb0zC365FdeCPYlNWr0565M4le3HujfpUrhnIUy6alBPPRN8EzyUSxK5tyTJO-coMb0b0ca5rADfPTs42L3ZEXG5yYsRPfgtxLzWF4i5WaIYvSECnj1iJfm2uvcQvkXEgzzyCFu4Pf2UOxwdAb0vpaK4S1fwPRapqz2ycy84I6yMPfRsBr7PcKU5p70XPVZswjy1l0U55x84PQ_vuT20aLk4AcZOPSaatjy_Koa4mNyYPXdw5jwl-UA3T6XAPZvHQT2yyNy46oEHO3ophjyrwfQ4iWINPXrNwT3H63O44YgEPUnJAb03-Zo2YSG5vatbPT3FFA-4pdO_Pe-sfb2gLA65Z0MDva3wGD2L1Dq4ZhK1PF6hz72AurI3MguzvRL-QD2ycrY3t_YZPQ5VR71sqVi4iITPPWuySz2Jt4U4l7sDvNLTwT1Rasm46YtzPM4DFLwoMiK3EL8svedaLz0tpmQ4IAA4E0AJSG1QASpzEAAaYE8WABoeVxIUE_rqEeb_KuLi0_Dq7wP_G9gAGyHuHRH46NPv-__6AwbXsgAAABTp4vANAMlqIQHjI-US-9WB2e82X_IpNRniKvnoIRX74xIgGxH7GgDnHqQMLgkWLR3XMCAALXyBNTs4E0AJSG9QAiqvBhAMGqAGAAAsQgAAoEAAAGBCAAAAwgAAyMEAAPhBAACkQgAAUMEAAODBAADgQAAAAMAAANBBAADAwAAA8EEAAIBCAADgwQAAAEIAAATCAACQQQAAwEAAABDCAAAcwgAAKMIAAJxCAACAQAAAmMEAALDBAAAQQQAAgEAAAJRCAACwwQAAgL8AACBBAAAEQgAAaMIAADBBAACAwQAAWEIAACBBAABQQQAA-MEAAAxCAACAvwAAOMIAAKBBAAC4wQAA-EEAAJjBAAA4QgAAaEIAADBBAADAwAAAmMEAAPhBAAAAwQAAMMIAALzCAABQQgAA2EEAAKpCAAAAAAAAgEEAAHjCAAAQwQAAQMAAAPjBAADIwQAApsIAABzCAACAPwAALEIAAIBBAADgwAAASEIAAJjBAABgwgAAnsIAAIC_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-D0AAKq-AADWvgAAED0AADA9AAAsPgAAED0AAKA8AAAkPgAAUL0AABS-AACIPQAAUL0AALi9AADYPQAAfz8AABA9AAA8vgAAhj4AAEy-AACIvQAAoDwAAJi9AABEPgAAmD0AAHC9AACIPQAATL4AAAQ-AADIPQAA6L0AAAQ-AAC4vQAAHL4AACS-AAAwPQAA6L0AALi9AABAPAAADL4AAJi9AABUPgAADD4AAAy-AAB0vgAAmD0AAHA9AACKPgAAiD0AAJK-AABAPAAAFT8AADA9AAAQPQAAFD4AAMi9AADIvQAAED0AAIC7IAA4E0AJSHxQASqPAhABGoACAACGvgAAFL4AAOA8AAAfvwAARD4AAEC8AAC4PQAAmD0AAKa-AACSPgAAML0AAKC8AAAQPQAA2L0AALi9AABwvQAAuL0AAC0_AABAPAAAJD4AAOi9AACIPQAA4LwAADA9AACgPAAAqL0AAHA9AAAQvQAAfD4AAOA8AABAvAAAUD0AAJi9AADovQAA-L0AAMi9AAAEPgAAiL0AAOC8AAAEPgAAQDwAAEy-AAD4vQAAoDwAAFC9AAAsvgAAf78AAOC8AABwPQAAbD4AAOg9AAC4vQAAVD4AAIC7AABQvQAA4LwAAIC7AACIPQAAUL0AAKA8AABAPAAAUL0AALi9AAD4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=_Ps4Lmvt0gQ","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14513679860294337099"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"160275624066675113":{"videoId":"160275624066675113","docid":"34-10-5-ZADA3F8E2E134E1AD","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1781583/db9bfd1fadd4dbafa19be0eeda52cada/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ZtFmMQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Da8H2X0GSWrM","linkTemplate":"/video/preview/160275624066675113?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高二数学选修一第一章 第四讲 空间角","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=a8H2X0GSWrM\",\"src\":\"serp\",\"rvb\":\"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_AqCBCQBgAQrKosBEAEaeIH3_vwA_gMA9v4DBf4F_gHrA_z6-___APwB-wX9Bf4A7Qf9_gP_AAD6EAP-BgAAAAEIAf7y_gEADQIG_f0AAAD87Pr5AAEAAAcH_wL-AQAA_Aj-BgT_AAAV-wEF9P4BAPILAgEE-fgFBQ35AwAAAAD44vv8AQAAACAALQBT2zs4E0AJSE5QAiqEAhAAGvABf-oX_sb6x_-8Ft0AJB3bANsdCwDoE-MAusktAMEa0AD4-NX_9PAHACM_2f6fAMYB8fXr_sL34wFF4R0ALN0iAL4u-wFCIgYBUO4j_woKBwC29Af_6eggAvXUyv4KDcn-Eb8F_iMS7wL-4cIAJRgsAfcX_QIg1fcD3wjx_uMYEgPcNNH_1QL3BA_gJvzOOREAQvgE_wAIDPnr5gL7E_ohBg_B1wAtIwEBCujkCcUPEvgR-Pv45-gI8OYoIf786Nr80fA1B6nV-QUV-xP8MAvvCREa4gQjzP3-5vQfBRza-fkX-wYI8jL69hL08_Mi5eUIIAAtv04AOzgTQAlIYVACKs8HEAAawAdihAC__XMHvcIwATwXqaS69YOKPWrTPb0-ibk9kKUqPVXFcbuYMNo9BSCkvB7WZTxuige-v2rAPOZddbwUlEI-RkUcvXPoALyHNCq-nmmoPbZyZbzxhN69gB-fPLdBDjz3R569QGIFPYGz0rurTaI9VNwdvQl2Er0zOKW8gCXbO1sAZLwriMG8wxccvUlb5rxEzxy9FMTIuwko3rxEac895MQyPHGqNbzRY8o9zn4uPZqXw7vaXxG9x3Yovaa0_jvqr_c9MbJROshNAz1KuIu9rTLTvEdQArzo_kU8FDEWPRq9_bsNaoQ9qvllvTYYz7znpxg9gHe8vJV_rbxehIm9oQokPGXMuLwnkn49fPmIPeB8jzyu9Cq-bcXePYrUC7uxOBc9Kgs1PcDLzLwA8oQ9iSsCPfgrLjyyp5M8wFMSvYOOMby37ko6AvEdPLS_Grzdazc9jJyqPQR-g7z84Bw9ueNIPWq77LseJSW9v9lBvNpr6rtFILi9p5wlPWrCtjxRdzQ9e8FHPcDwJbsFI6U91gI7vknlmjr6WKa9y1CQvR2nrru1kSY9f6swPbsdzLtO8M09ZjPnvf9XADynPgA-t6ZvvZJenLlktmC7qASPvZo0Gbv7rV29xIQnvQr4kDutgTK9t1bFPP4w_LupVQ-9exSuvL4HeTrzcW28lM6wuyk7oju4j3w9PByTvLhLMLuHgG09kZSZvDzWGTrOuxY9xkpxPPNhTbtWYai9X3AXveOgrbkJLlu9RxUsuxrdg7sfotE9WPgfvXnRijhpRB-97bydPQIHoLlCTLi9rvI9um3Bj7ctn0A93_4cPX-3sjeao429wDaMvbpRlrhCQ9o8RtmRPGk3-jldwXa9rrFwPN5jKTmaWwE-e0CKvQWUJLn34s26R7s7vajDE7kF-ak9wiS7PVrbvTcxCfe9Qo3MvOW8OTZ2mSs8LYhSvVbpXLgXAxU9v3x3PT0HBzlMqAA9x_Cdvf7uMDkHXIw9q4EhPfvHpzjnHzg9D--5PbRouTjfIkY97VyNvbsOfDeLFoA9RCrBvX0qIzhPmTY9jbKjvKwCaDdaNKO9fFpKPXIgbDikwpg9tz_dO4ED_zgc2bA9QBeNvNQr4TfwNi-90kXUPDvnPzjB4ys-3KVovAeJdLmsG0-9cABivXH6orhvRWe9tBabvU5w-LfR3T-9rm6rPBKB17f2dHo94A_fvT-Zm7ci_-w9NSkFPvN-W7i6E6y8cty5PXQwGLl8ToW9Y4RLvMLI6LYgs_O8rzhBPEH9_zcgADgTQAlIbVABKnMQABpgVQkADxheMPIoBdj-2PxAx9jD77m9DP8V1P8ZEtwzG-fsuv35__v2LL6VAAAAHeLRBBYAzn8P6RU87C4e0YUDEklr7EUsx-EZAeQkKR395zceLesuAMHjwyIQHO4JRtlaIAAtiFESOzgTQAlIb1ACKq8GEAwaoAYAADxCAAAEwgAAPEIAAHDBAAAQwgAAgD8AAIJCAABwwQAAEEEAAEBAAADgwAAAKEIAAARCAADwQQAAPEIAAODBAAA4QgAA4MEAAEBBAABAwQAADMIAAILCAAA0wgAA4EEAAOjBAAAgwQAAcMIAAPhBAABQwQAAkkIAAHTCAAAwQQAA2MEAAABBAABgwgAAgMAAAFBBAADoQQAAgMAAAEDAAABAwgAA0EEAANBBAADAwQAAkEEAAEDCAAAEQgAAHMIAAARCAAAoQgAAIEEAAABAAACAQAAAPEIAALBBAAAswgAANMIAAOhBAAAYQgAAsEIAAIA_AACYwQAAlsIAAJDBAAAkwgAAgsIAACzCAADwwgAAEMEAADBBAADYQQAAuEEAAJDBAADQQQAAcMEAAMDCAACCwgAAIMEAAODAAABQQQAAQMIAADRCAAA4wgAAgsIAAJBBAACiQgAAKMIAAJjBAAAYQgAAsEEAAPjBAABAQAAA4EAAAAAAAAAEQgAAEMIAAARCAAAAAAAALEIAAMBCAAAswgAAFEIAAHBBAACIwQAAoMEAAEDAAAAgwgAAqEEAABjCAABwQgAAjkIAAKDAAABQQQAAkEEAAIjBAAB4QgAAAAAAAAjCAAAkQgAA0sIAAABAAADQQQAAoEEAADzCAADAQAAAgMAAAGDBAACAwQAAuMEAACBBAAAgwgAAGMIAAJDBAACIQgAAEMEAAABBAADYQQAAoMAAAIjBAAAAwwAAXEIAAMhBAACoQQAAAMEAAMBAAAAEQgAAXMIAALhBAABAwAAABMIAACjCAAAIQgAAQMAAAEDCAACUwgAAAMAAALDCAAAAQgAANMIAAOBAAACYwgAADEIAAAAAAACOQgAAPEIAALBBAABAQQAAAMEAAHxCAAAEwgAApMIAACBBAADwQQAALMIAADDCAAB8QgAAGEIAAHBBAAAAwAAAQEIAAEDBAAC4wgAAAMAAABDBAABQQgAAwMAAAIC_AAAAQgAAyMEAAIBBAACYwQAAoEAAACDBAAAAQQAAqMEAABxCAAD4wQAAHEIAALhBAAB0wiAAOBNACUh1UAEqjwIQABqAAgAAqL0AAIA7AACWPgAAuD0AAAy-AABwPQAAjr4AANK-AACgPAAAED0AAAQ-AACAuwAAEL0AANg9AACYvQAA6L0AADA9AACIvQAAqL0AAIC7AAB_PwAAqL0AAAS-AABUPgAANL4AAFC9AADIvQAAoLwAAEQ-AADIPQAAQLwAABC9AAAkvgAAHD4AAKA8AAAcvgAAFD4AACS-AABUvgAALL4AAFw-AABQvQAAML0AAOA8AABsvgAA-L0AAIo-AADoPQAAPL4AAFy-AABAvAAAmD0AAIY-AACgvAAARL4AAJg9AAD2PgAAcD0AAFA9AADYPQAAHL4AAJi9AABQPQAAuL0gADgTQAlIfFABKo8CEAEagAIAAMa-AADgvAAAEL0AAPq-AAAMPgAA6D0AAFw-AACKPgAAHL4AADw-AAC4vQAAgLsAAOi9AACIvQAA2L0AABA9AACAuwAAHT8AAAy-AAA0PgAAoLwAADA9AADIvQAAcD0AAOC8AAAQvQAA4LwAAMi9AAAUPgAAMD0AAIA7AABQPQAATL4AADC9AACAOwAAmL0AAKo-AAAMvgAADL4AABQ-AACYvQAAXL4AAOA8AAC4PQAALD4AADC9AAB_vwAAQLwAALi9AAAUPgAALD4AALg9AAC6PgAA4LwAAKA8AACAOwAAQLwAAPi9AAD4PQAAND4AAKA8AADYvQAAJL4AAKC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=a8H2X0GSWrM","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["160275624066675113"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1511025336477005985":{"videoId":"1511025336477005985","docid":"34-8-9-ZEFB789080A0FB5B2","description":"新高考高三数学一轮复习第九...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2789625/e3518f1ca2697baef67073fb7e622519/564x318_1"},"target":"_self","position":"18","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dpb2eO8W-s9o","linkTemplate":"/video/preview/1511025336477005985?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"新高考高三数学一轮复习第九讲函数的单调性 西瓜视频","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=pb2eO8W-s9o\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD2_gMF_gX-AeUI__38AAAA_AH7Bf0F_gDuBv7-A_8AAPgFAgIAAAAAAQcB_vL-AQAMAgb9_QAAAPzt-voAAQAAAAf9AP8BAAD4DgAEAwAAABT7AQT1_gEA-gUBBQQBAAALCPn8AQAAAPvt_v8AAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgSDcAHitoIPAY9sjsGxU8DQvV6qrs-f814wArAvP6BOnvrPIJ_xL6_92nAAAACPbqGQgA1H0dIcUw6S7TxqoH8lR_EjsEOvQaG-smP_3wKgYCH979ANsBxdIZ-S8rQLMtIAAtBo8bOzgTQAlIb1ACKq8GEAwaoAYAACRCAACAwQAAPEIAANDBAAAEwgAAAEAAAJhCAACQQQAA-MEAAMBAAADAQAAAgEEAAEDAAABwQQAAjkIAAATCAAAsQgAA-MEAAIBBAAAQQQAADMIAAODBAABIwgAAdEIAAABBAABwwQAA-MEAAJBBAAC4QQAAfEIAAJjBAACAvwAAcMEAAFBBAACQwgAA8EEAAADAAAB0QgAAuMEAAOhBAACowQAA0EEAAKBAAAC4wQAA-EEAANjBAAAwQQAAAMEAADxCAACAQgAADEIAAODBAACQwQAAsEEAAIC_AABcwgAA0MIAABRCAAAgwQAAdEIAAABAAACAwAAAvMIAAHDBAACwwQAAMMIAABjCAADMwgAA6MEAALjBAAAkQgAABEIAAIBAAACAQgAARMIAAGDCAACywgAAQMEAAIBBAAC4QQAASMIAABhCAADowQAAHMIAAMBBAAD-QgAADMIAADDBAACAwAAAAEAAAAjCAAAgwQAAqEEAAJDBAAAUQgAA4MEAADDBAAAAQQAAZEIAAKJCAACYwQAAMEIAAPBBAAAowgAAQMIAADDBAACAPwAAVEIAAGDCAAB8QgAAcEIAAIhBAADAwAAA2EEAAPBBAACsQgAAgEAAACjCAAAgQgAAisIAAEBBAAAgQQAAgL8AAFDCAABAwQAAkMEAAKDBAABYwgAAgMEAAHDBAAAYwgAAsMEAAKDAAACSQgAAQMEAAFDBAACAQQAAUMEAAEzCAAAAwwAAMEEAACxCAABgQgAAAMEAANhBAAAkQgAAiMEAAABBAAAAwQAAYMEAAADCAAAMQgAAcEEAAATCAABAwgAAgD8AAKDCAAAwQgAAdMIAAIC_AACAwgAAgEEAAODAAAAAQgAAHEIAAKBBAAAQQgAAUMEAAEhCAAAcwgAAcMIAAPBBAABgQQAAcMEAALjBAAAwQQAAIEIAAMBAAAAAAAAAmEIAAPjBAADMwgAA4MEAAABAAACAQgAATMIAAMDBAACOQgAABMIAAEBAAAAQwQAA4EAAAHDBAAAAAAAAoMEAABBCAAAQwgAATEIAAKBBAACEwiAAOBNACUh1UAEqjwIQABqAAgAAqL0AAOC8AACiPgAAiD0AAPi9AAAUPgAAmr4AANK-AACgPAAAMD0AACw-AADgPAAAQDwAACQ-AAAQvQAAHL4AAAw-AACIvQAAuL0AAKg9AAB_PwAAUD0AABy-AACaPgAAPL4AAHC9AABQvQAA4LwAAAw-AABwPQAAML0AABC9AABMvgAABD4AABA9AAAcvgAAyD0AAAy-AABcvgAALL4AACQ-AACIvQAAuL0AABA9AABUvgAA-L0AAGw-AAAUPgAAuL0AAIK-AACgPAAAUD0AAJo-AACoPQAAjr4AAOA8AAAdPwAAiD0AAIC7AADoPQAARL4AAIi9AACgPAAAUL0gADgTQAlIfFABKo8CEAEagAIAAGy-AACYvQAAiD0AABe_AAD4PQAAcD0AAJg9AAAcPgAALL4AAIY-AADYvQAAoLwAADA9AAAwvQAA-L0AAOC8AAC4vQAAKz8AAAS-AAAEPgAAuL0AAHC9AACgvAAAgLsAAOA8AAAwPQAAoLwAAHC9AAAsPgAA2D0AAKC8AAAwPQAAmL0AADC9AACIvQAAEL0AACw-AAAQvQAA4LwAAIg9AACIPQAAPL4AAIC7AACAOwAAEL0AAFS-AAB_vwAA-D0AAIC7AAAsPgAA6D0AABC9AACiPgAAED0AADC9AABAvAAAQLwAAIi9AABQvQAA4DwAADA9AAAMvgAABL4AABC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=pb2eO8W-s9o","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1511025336477005985"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8542880164762897262":{"videoId":"8542880164762897262","docid":"34-4-14-ZF414059CF2D99EEF","description":"高中数学刘老师 认证:中学数学高级教师 简介:分享高中数学教学视频,上传高中数学知识清单。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2893590/8a3299ad62157f4b18863338039f2e4f/564x318_1"},"target":"_self","position":"19","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7wWnRZl8SQY","linkTemplate":"/video/preview/8542880164762897262?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"高一数学必须二第六章平面向量(预习)第三讲 数量积及应用","related_orig_text":"高中数学刘老师","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"高中数学刘老师\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7wWnRZl8SQY\",\"src\":\"serp\",\"rvb\":\"Eq0DChM3ODA3ODY0Mjk2MTMxMTcxNDA3ChM4NTcxNjUwMjg3NzE0ODE2NDcwChQxNDA5OTk5NjYyMTg1NDQ1Njk3MAoTOTg4OTA1ODUzNDYzNDQ2NDA3MwoTODU1MjUwNjYzODU2NzI5MzUwOQoUMTYzNzkyNjk2NTM2MTgyNjA1NzQKEzk5NDU5NjQ4MTM5NDEzMzQ3ODMKEzIzNTk4MTgwOTY2ODQxNDQxMDAKFDE0NTA5NTY5NjQ2NDc2Nzg0MTAwChQxNDUyOTUxMTkxMTIxMjQ3MjQ2MgoUMTMyOTY0NDQ2NjMzODQ3MjI0NjEKFDEwMzkxNDIwNTQzOTg5MDA5Mzc3ChQxODAzMjg1Njc1MjIzMjYzNTUyMwoUMTYyMTMzMDM5MDY2NzgwNDg3OTcKFDE0NTEzNjc5ODYwMjk0MzM3MDk5ChIxNjAyNzU2MjQwNjY2NzUxMTMKEzE1MTEwMjUzMzY0NzcwMDU5ODUKEzg1NDI4ODAxNjQ3NjI4OTcyNjIKEzk5NzU1NzE5MzA2NDMxNDczODUKFDE3Mzg1NTM5MTE1MDU4OTg2MTk1GhUKEzg1NDI4ODAxNjQ3NjI4OTcyNjJaEzg1NDI4ODAxNjQ3NjI4OTcyNjJqrg0SATAYACJEGjAACiloaHV3eWFpenlkd2lwb3VoaFVDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdxICABEqEMIPDxoPPxOMGoIEJAGABCsqiwEQARp4gfv_Af_7BgD2_gMF_gX-AewD_Pv7AP8A_AH7Bf0F_gDuBv7-A_8AAP4LBgIAAAAAAQcB_vL-AQAMAgb9_QAAAPn3_P38AAAABwb_Av4BAAD9B_4GA_8AABT7AQT1_gEA9w4BAwEAAAAFDPoCAAAAAPvt_v8AAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgMSEAFCRMHt8ZAcz5CwIoCwLg87zjAP8v5gAdBu71EOrzx_kC_wkDBuq7AAAAC_nrHQMAz18mGcgQ9Bjl3bz-8kB_9jUKOPsVAN0lQPL-Hhn_Hd37AOQD0NcQCCQcKNEdIAAtJ8BAOzgTQAlIb1ACKq8GEAwaoAYAAJhBAACAwQAATEIAACTCAABUwgAAEMEAAGBCAADgwAAAoEAAAABBAABAwQAAZEIAAABCAAAQQQAAgEIAAPjBAAA4QgAAQMIAAKDAAACAwAAA-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_AAAcQgAAAMAAACDBAACoQQAABMIAAODAAADkwgAAIEIAAExCAADgQQAAsMEAAKBAAABsQgAAFMIAAFRCAADgwAAA-MEAAKDBAACAQQAAwEEAAGjCAACiwgAAUEEAAJrCAABwQQAASMIAAAAAAABMwgAAQMEAAABBAACIQQAAhEIAACDBAABwQQAAoMAAAExCAAA4wgAAfMIAAAAAAACwQQAAYMEAALDBAABAQgAAHEIAAABBAAAAQgAAWEIAAODAAADCwgAAuMEAALjBAACIQQAA4MEAAILCAAAIQgAA-MEAALjBAAAwwQAA4EAAAEDBAAAwQQAA4MAAAFxCAAAIwgAALEIAAJhBAACMwiAAOBNACUh1UAEqjwIQABqAAgAA6L0AAIi9AACWPgAAED0AANi9AAC4PQAAnr4AAOa-AAAwPQAA4DwAABw-AABAPAAAQLwAAAw-AABwvQAAFL4AAFA9AACIvQAAyL0AAHA9AAB_PwAAgDsAAOi9AABkPgAARL4AAKi9AAAQvQAAQLwAADQ-AABQPQAAgLsAAIA7AAA8vgAA2D0AAIg9AAAUvgAAyD0AAKi9AAA0vgAAHL4AACQ-AACIvQAAUL0AAKC8AABkvgAA6L0AAJI-AADoPQAAJL4AAHS-AABAvAAAiD0AAJI-AAAQPQAAhr4AAOA8AAALPwAAuD0AAIC7AAC4PQAAFL4AABC9AADgPAAAiL0gADgTQAlIfFABKo8CEAEagAIAAJq-AACgvAAAgLsAAA-_AADoPQAAuD0AAFw-AAA8PgAAJL4AAIY-AADIvQAAEL0AADC9AABQvQAABL4AAKC8AABwvQAAIT8AAAy-AAAMPgAAcL0AAKi9AACAuwAAMD0AAEA8AACYPQAAUL0AABC9AAAkPgAAqD0AAIA7AAAQPQAAPL4AAOC8AABwvQAAmL0AAK4-AAC4vQAAcL0AALg9AACoPQAARL4AAKA8AACoPQAAmD0AAAS-AAB_vwAAED0AALi9AAB8PgAAJD4AAOA8AACqPgAAgLsAABC9AACAOwAAEL0AALi9AABAPAAAqD0AAKg9AACIvQAALL4AADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7wWnRZl8SQY","parent-reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8542880164762897262"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"7807864296131171407":{"videoId":"7807864296131171407","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]选修三第六章计\u0007[数\u0007]原理第二讲排列与排列\u0007[数\u0007]","cleanTitle":"高二数学选修三第六章计数原理第二讲排列与排列数","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=kw1L8eYiMuk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/kw1L8eYiMuk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2233,"text":"37:13","a11yText":"Süre 37 dakika 13 saniye","shortText":"37 dk."},"views":{"text":"3,6bin","a11yText":"3,6 bin izleme"},"date":"6 nis 2023","modifyTime":1680739200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/kw1L8eYiMuk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=kw1L8eYiMuk","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":2233},"parentClipId":"7807864296131171407","href":"/preview/7807864296131171407?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/7807864296131171407?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8571650287714816470":{"videoId":"8571650287714816470","title":"\u0007[高\u0007]\u0007[中\u0007]\u0007[数\u0007]\u0007[学\u0007]\u0007[学\u0007]习方法之——思考内容的层次及升级","cleanTitle":"高中数学学习方法之——思考内容的层次及升级","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=japyqMnj25k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/japyqMnj25k?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2376,"text":"39:36","a11yText":"Süre 39 dakika 36 saniye","shortText":"39 dk."},"views":{"text":"3,7bin","a11yText":"3,7 bin izleme"},"date":"10 nis 2023","modifyTime":1681084800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/japyqMnj25k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=japyqMnj25k","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":2376},"parentClipId":"8571650287714816470","href":"/preview/8571650287714816470?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/8571650287714816470?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14099996621854456970":{"videoId":"14099996621854456970","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]期末复习解析几何第三讲圆与方程(二)","cleanTitle":"高二数学期末复习解析几何第三讲圆与方程(二)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9AtLdD5gBvU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9AtLdD5gBvU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1340,"text":"22:20","a11yText":"Süre 22 dakika 20 saniye","shortText":"22 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"3 ağu 2023","modifyTime":1691020800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9AtLdD5gBvU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9AtLdD5gBvU","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1340},"parentClipId":"14099996621854456970","href":"/preview/14099996621854456970?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/14099996621854456970?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9889058534634464073":{"videoId":"9889058534634464073","title":"\u0007[高\u0007]\u0007[中\u0007]新课堂\u0007[高\u0007]三\u0007[数\u0007]\u0007[学\u0007]解析几何(圆锥曲线) 第五讲 双曲线","cleanTitle":"高中新课堂高三数学解析几何(圆锥曲线) 第五讲 双曲线","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FKeSU1F0Qw4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FKeSU1F0Qw4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1422,"text":"23:42","a11yText":"Süre 23 dakika 42 saniye","shortText":"23 dk."},"views":{"text":"3,9bin","a11yText":"3,9 bin izleme"},"date":"27 mar 2023","modifyTime":1679875200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FKeSU1F0Qw4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FKeSU1F0Qw4","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1422},"parentClipId":"9889058534634464073","href":"/preview/9889058534634464073?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/9889058534634464073?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8552506638567293509":{"videoId":"8552506638567293509","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]选修一圆锥曲线第三章 第七讲 抛物线","cleanTitle":"高二数学选修一圆锥曲线第三章 第七讲 抛物线","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7Vk21ZDp2nM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7Vk21ZDp2nM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1360,"text":"22:40","a11yText":"Süre 22 dakika 40 saniye","shortText":"22 dk."},"views":{"text":"4,2bin","a11yText":"4,2 bin izleme"},"date":"9 şub 2023","modifyTime":1675900800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7Vk21ZDp2nM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7Vk21ZDp2nM","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1360},"parentClipId":"8552506638567293509","href":"/preview/8552506638567293509?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/8552506638567293509?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16379269653618260574":{"videoId":"16379269653618260574","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]选修一第一章 第二讲 空间向量基本定理(课堂实录)","cleanTitle":"高二数学选修一第一章 第二讲 空间向量基本定理(课堂实录)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2vLktdYL3bg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2vLktdYL3bg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1875,"text":"31:15","a11yText":"Süre 31 dakika 15 saniye","shortText":"31 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"9 şub 2023","modifyTime":1675900800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2vLktdYL3bg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2vLktdYL3bg","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1875},"parentClipId":"16379269653618260574","href":"/preview/16379269653618260574?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/16379269653618260574?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9945964813941334783":{"videoId":"9945964813941334783","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]选修一第一章 第三讲 空间距离","cleanTitle":"高二数学选修一第一章 第三讲 空间距离","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=N512rHKnndI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/N512rHKnndI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1327,"text":"22:07","a11yText":"Süre 22 dakika 7 saniye","shortText":"22 dk."},"views":{"text":"3,9bin","a11yText":"3,9 bin izleme"},"date":"2 nis 2023","modifyTime":1680393600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/N512rHKnndI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=N512rHKnndI","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1327},"parentClipId":"9945964813941334783","href":"/preview/9945964813941334783?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/9945964813941334783?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2359818096684144100":{"videoId":"2359818096684144100","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]第二章直线与圆 第一讲 直线与方程(课堂实录)","cleanTitle":"高二数学第二章直线与圆 第一讲 直线与方程(课堂实录)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=YV_HYPCReFA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/YV_HYPCReFA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1997,"text":"33:17","a11yText":"Süre 33 dakika 17 saniye","shortText":"33 dk."},"views":{"text":"4,9bin","a11yText":"4,9 bin izleme"},"date":"6 şub 2023","modifyTime":1675641600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/YV_HYPCReFA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=YV_HYPCReFA","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1997},"parentClipId":"2359818096684144100","href":"/preview/2359818096684144100?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/2359818096684144100?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14509569646476784100":{"videoId":"14509569646476784100","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]选修三第七章随机变量及分布第一讲条件概率与全概率公式","cleanTitle":"高二数学选修三第七章随机变量及分布第一讲条件概率与全概率公式","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=d1wlUOs_1F8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/d1wlUOs_1F8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2317,"text":"38:37","a11yText":"Süre 38 dakika 37 saniye","shortText":"38 dk."},"views":{"text":"3,6bin","a11yText":"3,6 bin izleme"},"date":"9 nis 2023","modifyTime":1680998400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/d1wlUOs_1F8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=d1wlUOs_1F8","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":2317},"parentClipId":"14509569646476784100","href":"/preview/14509569646476784100?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/14509569646476784100?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14529511911212472462":{"videoId":"14529511911212472462","title":"\u0007[高\u0007]\u0007[中\u0007]\u0007[数\u0007]\u0007[学\u0007]公开课第三讲(下)——基本不等式及应用","cleanTitle":"高中数学公开课第三讲(下)——基本不等式及应用","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1mH_yiAMkTI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1mH_yiAMkTI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2894,"text":"48:14","a11yText":"Süre 48 dakika 14 saniye","shortText":"48 dk."},"views":{"text":"4,5bin","a11yText":"4,5 bin izleme"},"date":"14 şub 2023","modifyTime":1676332800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1mH_yiAMkTI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1mH_yiAMkTI","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":2894},"parentClipId":"14529511911212472462","href":"/preview/14529511911212472462?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/14529511911212472462?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13296444663384722461":{"videoId":"13296444663384722461","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]期末复习空间向量及立体几何第三讲空间向量的应用(一)","cleanTitle":"高二数学期末复习空间向量及立体几何第三讲空间向量的应用(一)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fKk7kG0jORA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fKk7kG0jORA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1391,"text":"23:11","a11yText":"Süre 23 dakika 11 saniye","shortText":"23 dk."},"views":{"text":"2,2bin","a11yText":"2,2 bin izleme"},"date":"3 ağu 2023","modifyTime":1691020800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fKk7kG0jORA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fKk7kG0jORA","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1391},"parentClipId":"13296444663384722461","href":"/preview/13296444663384722461?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/13296444663384722461?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10391420543989009377":{"videoId":"10391420543989009377","title":"\u0007[高\u0007]一\u0007[数\u0007]\u0007[学\u0007]必修第二册 第二十五讲 空间角的计算(1)课堂实录","cleanTitle":"高一数学必修第二册 第二十五讲 空间角的计算(1)课堂实录","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JgGtohXk1IE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JgGtohXk1IE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1682,"text":"28:02","a11yText":"Süre 28 dakika 2 saniye","shortText":"28 dk."},"views":{"text":"4,3bin","a11yText":"4,3 bin izleme"},"date":"22 mar 2023","modifyTime":1679443200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JgGtohXk1IE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JgGtohXk1IE","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1682},"parentClipId":"10391420543989009377","href":"/preview/10391420543989009377?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/10391420543989009377?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18032856752232635523":{"videoId":"18032856752232635523","title":"\u0007[高\u0007]一\u0007[数\u0007]\u0007[学\u0007]必修第二册期末定时训练 试卷二试题解析(12 22题)","cleanTitle":"高一数学必修第二册期末定时训练 试卷二试题解析(12 22题)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0dsg8R8H72E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0dsg8R8H72E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2914,"text":"48:34","a11yText":"Süre 48 dakika 34 saniye","shortText":"48 dk."},"views":{"text":"3,7bin","a11yText":"3,7 bin izleme"},"date":"31 mar 2023","modifyTime":1680220800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0dsg8R8H72E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0dsg8R8H72E","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":2914},"parentClipId":"18032856752232635523","href":"/preview/18032856752232635523?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/18032856752232635523?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16213303906678048797":{"videoId":"16213303906678048797","title":"新\u0007[高\u0007]考\u0007[高\u0007]三\u0007[数\u0007]\u0007[学\u0007]一轮复习第十七讲函\u0007[数\u0007]的零点 新\u0007[高\u0007]考\u0007[高\u0007]三一轮复习教\u0007[学\u0007]视频 西瓜视频","cleanTitle":"新高考高三数学一轮复习第十七讲函数的零点 新高考高三一轮复习教学视频 西瓜视频","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WTILnAhI8FQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WTILnAhI8FQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2380,"text":"39:40","a11yText":"Süre 39 dakika 40 saniye","shortText":"39 dk."},"views":{"text":"1,7bin","a11yText":"1,7 bin izleme"},"date":"27 eyl 2023","modifyTime":1695772800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WTILnAhI8FQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WTILnAhI8FQ","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":2380},"parentClipId":"16213303906678048797","href":"/preview/16213303906678048797?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/16213303906678048797?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14513679860294337099":{"videoId":"14513679860294337099","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]期末复习选修三第四讲分布列及期望与方差 西瓜视频","cleanTitle":"高二数学期末复习选修三第四讲分布列及期望与方差 西瓜视频","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_Ps4Lmvt0gQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_Ps4Lmvt0gQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1888,"text":"31:28","a11yText":"Süre 31 dakika 28 saniye","shortText":"31 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"28 ağu 2023","modifyTime":1693180800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_Ps4Lmvt0gQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_Ps4Lmvt0gQ","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1888},"parentClipId":"14513679860294337099","href":"/preview/14513679860294337099?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/14513679860294337099?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"160275624066675113":{"videoId":"160275624066675113","title":"\u0007[高\u0007]二\u0007[数\u0007]\u0007[学\u0007]选修一第一章 第四讲 空间角","cleanTitle":"高二数学选修一第一章 第四讲 空间角","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=a8H2X0GSWrM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/a8H2X0GSWrM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1404,"text":"23:24","a11yText":"Süre 23 dakika 24 saniye","shortText":"23 dk."},"views":{"text":"3,9bin","a11yText":"3,9 bin izleme"},"date":"28 mar 2023","modifyTime":1679961600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/a8H2X0GSWrM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=a8H2X0GSWrM","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1404},"parentClipId":"160275624066675113","href":"/preview/160275624066675113?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/160275624066675113?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1511025336477005985":{"videoId":"1511025336477005985","title":"新\u0007[高\u0007]考\u0007[高\u0007]三\u0007[数\u0007]\u0007[学\u0007]一轮复习第九讲函\u0007[数\u0007]的单调性 西瓜视频","cleanTitle":"新高考高三数学一轮复习第九讲函数的单调性 西瓜视频","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=pb2eO8W-s9o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/pb2eO8W-s9o?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1437,"text":"23:57","a11yText":"Süre 23 dakika 57 saniye","shortText":"23 dk."},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"28 eyl 2023","modifyTime":1695859200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/pb2eO8W-s9o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=pb2eO8W-s9o","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":1437},"parentClipId":"1511025336477005985","href":"/preview/1511025336477005985?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/1511025336477005985?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8542880164762897262":{"videoId":"8542880164762897262","title":"\u0007[高\u0007]一\u0007[数\u0007]\u0007[学\u0007]必须二第六章平面向量(预习)第三讲 \u0007[数\u0007]量积及应用","cleanTitle":"高一数学必须二第六章平面向量(预习)第三讲 数量积及应用","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7wWnRZl8SQY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7wWnRZl8SQY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM1JrQ1JUOXZOaGVKQ0hKTFdiNXFFdw==","name":"高中数学刘老师","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","origUrl":"http://www.youtube.com/@SoldierSmitham","a11yText":"高中数学刘老师. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3340,"text":"55:40","a11yText":"Süre 55 dakika 40 saniye","shortText":"55 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"14 şub 2023","modifyTime":1676332800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7wWnRZl8SQY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7wWnRZl8SQY","reqid":"1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL","duration":3340},"parentClipId":"8542880164762897262","href":"/preview/8542880164762897262?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","rawHref":"/video/preview/8542880164762897262?parent-reqid=1764374656323163-2208575178173543170-balancer-l7leveler-kubr-yp-sas-154-BAL&text=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"2085751781735431707154","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"高中数学刘老师","queryUriEscaped":"%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E5%88%98%E8%80%81%E5%B8%88","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}