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如果你中了“对数函数”的毒，这节课就是解药！[高中数学]
高一数学同步课堂32/127
![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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=YHOcED8Wyj0MpSnLvEfuYGi1C38%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&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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=rpuus2ImvKsDqB8kQjvgTQRU53Y%3D)
App23:27![对数比大小，这道题妙极了！[高中数学]](http://p26-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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=IKeIKH1tMD6pbYvsERNFdcF7ymk%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=fMtoSItJRfhqaaYsE4psdMD3Nvo%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=45F8LvWmOGHNLTt06gJbt6eCIQU%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=tB8WVcyEyFzqAgm8ojYvVWlAJzM%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=t34DmgqFh5KrC4FFPSgJxCXg6AM%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=8GXcyODuMJAGMxvyYTfa%2BdRV%2FHw%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&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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=3isS6ITroGcbZdumOxRAgmSwi80%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=SmRkl%2BiOzG07sFLvJvtjj6D78CQ%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://p3-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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=JnfI%2BpRBloV6tqruHEFWRkXmp4w%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=q5B60LhT53vGoYc21WzrlD0MiB0%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=sQiMyaKUc5IE7I8SvW5DeCqjpf4%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&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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=GWW9zC0jKiwAa7BQh2u0fUh7NKI%3D)
App24:59![[高一数学寒假4]余弦定理初步](http://p3-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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=pJLw93cIbrGZNsZZ8gfTEB7nK4w%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=iTkgbf3Gnn17EpcRZqF96hGSP4I%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=syjEgvxAUkepKLSEU6NHDHpygMY%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=K4satDkBISaxePUXVw50It57mQk%3D)
App14:12![[高一数学寒假7]立体几何概念和结构下集）](http://p3-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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=Z6gN%2BrQIZKevUpaFHwxiO0t4oJQ%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=shFFFwS3531mJvzAHDf8WXlH%2F34%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=HTFLFQKa1XoJfvnMKfzGms9e56M%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&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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=UyitFVqK5SIt9jfsqSbdEGwXVMk%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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=oajnk4wtDlAf%2BJ3xaQRjwIlQJuE%3D)
App19:51![奔驰定理原来是这样啊！[高中数学]](http://p26-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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=ODI6BUj3vaWkJ17LUWBp4be4mlo%3D)
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App13:31![立体几何的图形嵌套及体积、表面积[高一春季7]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/268ed7dff1614207bd503158c90879ad~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=2025011807350864ED5096FB554252F8B4&requestFrom=704&version_code=80402&x-expires=1768692909&x-signature=xIhGIGTI0d5kRNl0NJ57J0frg%2F4%3D)
App18:38打开App观看
