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[高中数学]函数有毒，此乃解药——f (x)
高一数学同步课堂25/127
![[高中数学]函数求值域，有哪些惊艳的方法？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/49443b3b48254c1594709cf0b18c6581~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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=MBJRxv1CS7L3VA%2F5BJf5ju6sRd8%3D)
App18:25![[高中数学]函数有毒，此乃解药——f (x)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/a28e84e755c047908b3e9e2dc48acd65~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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=kLm0McbLKGedO%2Bz3beb7N9XoOrI%3D)
App30:11![[高中数学]如何应对抽象函数？](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/1aa251b5ff0d45f8a18910ebef3141c9~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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=uGw2giylsdbMBzyUP53EcTv5s7U%3D)
App22:51
App26:26![[高中数学]幂函数](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7bf8f21649e340d9b43d39839258c846~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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=VEkL7hWJFFVc%2BupGZgrRhg%2B1I8g%3D)
App19:39![学会指数函数、指数运算，就是这节课[高中数学]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ada65dfed8974d3e9fd6d5b3b89e954e~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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=qJK44lbaboZGsxmZzk4HXjP3lgQ%3D)
App26:06![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&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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=%2B67gWWgPvh41B0SAmvK%2BOeSLMQw%3D)
App17:36![对数的换底公式[高中数学]](http://p26-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=nIB5JKRkik3JrMMpEO%2FH5SHAOCw%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=6E%2FaqwQ0VeANe1TBvYjG6OXPR%2F8%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=8donhKHayhSDTnPudqKbZLIHMXY%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=Jjmw6z9lJIkBoLl9SBcUJqKJEWE%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&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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=RKUSLdF0PHHEMccOmXfCNCtUJs4%3D)
App08:25
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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=05UAo2gEabb2uYMdJm8vMeXRdt0%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://p26-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=ENPrKknyAtL0tpfFLxt8Z01FpJc%3D)
App16:12![同角三角函数的关系[三角函数5]](http://p26-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=4am%2BGVVbxTVcd8yFXAQCubHs%2BKU%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=ZHzz%2FGggzEpw3%2FR47topFeUryQ8%3D)
App25:33
App23:27![正切函数的图像性质[三角函数7]](http://p26-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=dZdCEUlf%2FnHo2vM9UDETd%2B51VPc%3D)
App16:06
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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=QyFdT%2Fpde%2BopQt6pn4F6L1iSilM%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=BY%2B3VL2mILJ0qBcuyBMFDyIhyVk%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=wpk4p33rErGOFdw%2B5bR44FLF4I8%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=L9bdtNl9xyK3AzjR%2BEI%2B2WXIWOg%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=4PnuE5KnpcEeRCP46Oe5Nzko3gw%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=oQUrWTSi5RVNsw0l2j5Pa%2FZ0G4I%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=yrGGZgr7O10HpHO0Fil5fpbVkYE%3D)
App22:50![[高一数学寒假6]立体几何概念和结构(上集）](http://p26-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=DKbz%2BN5XdhosD1CqJ9HpZwxTziE%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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=s0xRuvVpGAKkNCm%2FXSbUWpyU85s%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://p3-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=aRWgksQFqNdrR%2BwIRrkzjZcs2vI%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://p26-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=20250102221755747DCD32550BFA4A2AC7&requestFrom=704&version_code=80402&x-expires=1767363476&x-signature=81IeSfEM6ctrat%2FMBED3P2s9vnA%3D)
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