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对数的换底公式[高中数学]
高一数学同步课堂31/127
![对数运算，一网打尽！[高中数学]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/e87fb2a37cc141e4902f06711bb0a017~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=JqjVokn9shMH%2FhtE3GX9SHu00iI%3D)
App17:36![对数的换底公式[高中数学]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f594e56597cd4f819cca441260b839d4~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=igsZu4sRNPeoB6qsmZtPaW63qOs%3D)
App09:58![如果你中了“对数函数”的毒，这节课就是解药！[高中数学]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/99779c1f5f8c4a78b258adee4f80f084~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=JYoSiVfJWYjMt18bxvmbkVuNyvI%3D)
App23:27![对数比大小，这道题妙极了！[高中数学]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cd88edabb0784693a366886f20127be5~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=zo%2Ffg6dsPofuhIz%2Fkd2c6Rkew6k%3D)
App12:25![[三角函数1]角的概念的推广——任意角](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/991b1e8859f74814bed3fba25c3b767d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=XJsplgg4cpRnR8g4jkHN62BvmEA%3D)
App20:02![[三角函数2]弧度制与角度制](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/93f0752316c844788d6913869d1cdd76~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=xJz2czvkKC8S%2FdO9w072JxYzyWM%3D)
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App19:42![三角函数线定义三角函数[三角函数3]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/6fa39351f1054e8a9f524adf5879fdd9~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=LiUkmpurpYOjDbNnJ1Scnqb8Q9g%3D)
App15:35![刻骨铭心的数学口诀——三角函数诱导公式[高中数学]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/5f0537d1d7ee4690ba27ebc6ce9e95ad~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=Hs%2BZGYsgWm5BtwKodF4Ex3jfTgY%3D)
App16:12![同角三角函数的关系[三角函数5]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/911a66de7a134cf7a902c54db8a59d1a~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=HSdT4ahW7fQ2pDLUj53ocs8CY0k%3D)
App14:56![[三角函数6]和角公式＆差角公式，三角恒等变换](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/eef21cb2acd443f8a1154f65eee2045f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=aJx61%2BtsHgUxRjEc6VZlmFD%2B52A%3D)
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App23:27![正切函数的图像性质[三角函数7]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b486a761469645949e2e652d89bc36eb~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=WIk%2BCWXev1IjDI%2F3kvIuLPFggiE%3D)
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App10:23![三角函数的图像变换＆五点作图法[高中数学]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/cf2e0ad0e34c4716827e055bc7e100ba~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=kvWcxtvHXkp81JaVfMSAKOZUN04%3D)
App29:04![[高一数学同步课1]平面向量的概念和运算(上集)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/9417a4d6ed964daaa42fb3ee8c54dbce~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=qFxZADEkyfN%2FlkUpkIVn3YVFhIg%3D)
App39:56![[高一数学寒假同步课2]平面向量的三点共线定理](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b1c07469225044a5ac47b8935df4b7e0~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=DC7%2BhWiUgleqvch6MsL%2BxhfcOK0%3D)
App17:48![[高一数学寒假3]正弦定理初步＆解三角形多解问题讨论](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ea9cfbdb8a9a405b97cc56480dd82d54~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=R1kHlJD3kj8A2nJvEGwKpLHChxA%3D)
App24:59![[高一数学寒假4]余弦定理初步](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/9800565a19c34ed3af8a890dcc8281e9~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=QKllfK1sgzBQY4fh2kx%2BO4lBBvM%3D)
App21:06![[三角函数9]二倍角公式＆半角公式&万能公式](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cf131bd850b241d1827222918fe15021~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=lGxSlP%2Fb%2FRpQGYIoX%2Fclfe3%2FB8M%3D)
App14:39![[高一数学寒假5]复数的概念及运算](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ecb6b93552544130993b5503c0887780~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=IPUWFmVMVv97RUyCiLTyWDYepqc%3D)
App22:50![[高一数学寒假6]立体几何概念和结构(上集）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cbbe7f28d3c8445782d315b8c662f4a9~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=kFrVu2OZ1pbSzMrMZf8hxglEPbU%3D)
App14:12![[高一数学寒假7]立体几何概念和结构下集）](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/9e58455a1799466cbf3ee820c7c667b6~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=fNcbinf3bx3UaZYCncUJzuxL0pY%3D)
App19:52![平面向量的基底法VS坐标法，动点问题何去何从？[高一春季1]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/c027483bf51b4ed2849a9c00e886d187~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=MH3nl4FWtBaJpMQ%2BgQdYWscFOV0%3D)
App26:36![平面向量的最值问题，居然需要基本不等式？[高一春季2]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f64dc5bdb0b140ea8cebf35efc71242a~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=yNclYv47c5KzNH0jlSi4y3RGeFY%3D)
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App12:51![高中教材上没有的射影定理，大有用处！[高一春季5]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3c663716368d41bab1f466e402f7b73f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=LdpR4ARQ3cXIh2TlEeeeAM7iWsg%3D)
App09:29![三角形面积、周长最值，与均值不等式综合[高一春季6]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c2536d0b8174408b807b0e9ad26d485c~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=TzDXnlVUpQ0w8nSBoFIfAk%2Bk00k%3D)
App19:51![奔驰定理原来是这样啊！[高中数学]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/afd61e1e48254af98c159abdfd37ac23~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=2024121510403837B353C5AE50803F99F9&requestFrom=704&version_code=80402&x-expires=1765766439&x-signature=vLYYnYooc%2FbKTLQv0G2WM1vTDJw%3D)
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App13:31打开App观看
