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对数的换底公式[高中数学]
高一数学同步课堂31/108
![对数运算，一网打尽！[高中数学]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e87fb2a37cc141e4902f06711bb0a017~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=bsrLbTs1JkDV1EEqX%2F%2Bmst9I338%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=m%2BsG3WRUm7LIfjhloFkjpCI8%2BbQ%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://p3-sign.bdxiguaimg.com/tos-cn-i-0004/99779c1f5f8c4a78b258adee4f80f084~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=BS%2F1B5hcHhr%2FOFBdWpZbH8fTwcU%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=HLn63wLLUEAVcH8KvDdtAVCizuQ%3D)
App12:25![[三角函数1]角的概念的推广——任意角](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/991b1e8859f74814bed3fba25c3b767d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=21HOL5lASYLKHx%2Fx495P510Tr3o%3D)
App20:02![[三角函数2]弧度制与角度制](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/93f0752316c844788d6913869d1cdd76~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=L3Q%2FF6CbK%2B94u%2FFqyB5TWeMcCb4%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=z0Xu4UvO8JivB3%2BQdxVbh0zuXRA%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=5SRXcvd1kHL3M4lcgwoZEqwDyJY%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=XP%2FwNOQDpwea0ukYAkppS2YItaw%3D)
App14:56![[三角函数6]和角公式＆差角公式，三角恒等变换](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/eef21cb2acd443f8a1154f65eee2045f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=5%2FPxHRs8bbmf2%2FaYMsGba4QONRw%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=FzzjGRnHuGusBg0NmyumQfoW%2FsI%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=rmQYg8LKLPYOQQLtYvQaUd1%2FbTk%3D)
App29:04![[高一数学同步课1]平面向量的概念和运算(上集)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/9417a4d6ed964daaa42fb3ee8c54dbce~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=eWqqZaMjBlZouUnhMqK5hX0jMuc%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://p26-sign.bdxiguaimg.com/tos-cn-i-0004/b1c07469225044a5ac47b8935df4b7e0~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=y0F64mBK8bjZf2cRWmLAlDxTGZc%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://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ea9cfbdb8a9a405b97cc56480dd82d54~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=xwr%2FYLxbS%2BeEWyHxMDRoNyY%2B4Ag%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=kVeZQQ5PsImu0n%2BP1iU%2BxBfVxks%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=Gsf3ovHYY0NZKG3J316tmga1L18%3D)
App14:39![[高一数学寒假5]复数的概念及运算](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ecb6b93552544130993b5503c0887780~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=LPF1n%2Bs5ua207jiakxU449exRjM%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=Cx7e5S9t4pRZFuc0ujWoJMkuMmI%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=U0dHp%2FjJQAjOGmpIR8eW%2Br33Azw%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=7FS%2FioSKteHMvsQ5CBbbWau2beM%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=cbhxtlE6VArmBHu62z7Pw95SxpY%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://p26-sign.bdxiguaimg.com/tos-cn-i-0004/3c663716368d41bab1f466e402f7b73f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=tySiGrnJrPA4nu9tf9KdgrPpg9Q%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=zpMVCiuSyXRvS5owAu7U8zKmqyI%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&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202406300454502101279F5C839037B8AC&requestFrom=704&version_code=80402&x-expires=1751230491&x-signature=fvGF2WAdG4sr4BUhGq0PvyS9Pj8%3D)
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