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高中生的噩梦：对数运算法则 [高一数学13]
高一数学同步课堂14/127
![[高一数学同步课12]指数运算、指数函数](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/1dc0aae702024a56b2bc86f56d81c2dc~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=6ntXwzZuBYR1i%2FRjsuuHhwoRBHU%3D)
App25:01![高中生的噩梦：对数运算法则 [高一数学13]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4b884475321c48ab833969ca806754ae~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=vGuTzsjxYNxvfmMeIaIr%2F%2BPNo%2FQ%3D)
App28:25![[高一数学同步课14]对数函数，永远的神](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/2a342c239a154ee082f421a9c4a7c246~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=BpfOUOLhERBa5voSOcVkClqJjKA%3D)
App25:41![[高中数学]令人头秃的抽象函数问题，记得用赋值法](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/14c72a0ef667458b9f823a4c716a51cd~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=bAQhHQsE%2BWLf5ZV2TDwpwFMAkxg%3D)
App10:23![[高一数学同步课]秋季第1讲：集合考点汇总](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/8ab00d3ba27a42c9ad6b3e42d982eb8d~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=g6cE0nv%2FnWtNy2nVtHRsWmR7w8o%3D)
App29:37![[高一数学同步课]秋季第2讲：一元二次不等式](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3184d6ee85c443ceb0d0196bf2a6af45~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=KK86LuSRx1MOS2qWXGQebrGOYd8%3D)
App24:56![[高一数学同步课]秋季第3讲：集合与简易逻辑](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cd07e7f7efb54ff2beee8ffca4e33783~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=6F5Z982VPHGS1XXLmsvv%2FOlidUo%3D)
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App25:59![[高中数学]一节课学会函数的单调性](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/45c25aec796a4dd9a00a707118e7b024~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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=vOUQTEZta8FzjuRpqROQK%2FrL%2FbU%3D)
App24:00![[高中数学]函数求值域，有哪些惊艳的方法？](http://p26-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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=jiPQ4oCHZEuT85bUV4UIMBkIjAs%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=NtyfGAzB1DARrs8cvxbFzkdAVKU%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=YE%2BrOuIXevMTKKzefTJLC%2FAaj6Y%3D)
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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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=p3981yIUycQ%2Fn1aI46zU7MML%2BjY%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=WSgf3zOhjeFNVgkMyYt0l5DS22A%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=PrkRBGeDCv0lxWOUHu%2Bh59xPSK4%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=t2EUKqYShs3MiXJCz23t81RaCCU%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=9AZS135XB6NwwhjCSQnQnQOCCXg%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=kyqAD4zEFukZiBqdl4sQCD%2BbagI%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&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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=%2B4yyzzK8dnH%2Bv8%2BE2FVoy%2Fhk8mY%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=YizCrHhV9OMH3FScnjorEQbT5%2B0%3D)
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App19:42![三角函数线定义三角函数[三角函数3]](http://p26-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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=ZU%2BnU6%2BvOBdahvJCLr98ONMW5sM%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=6Rpuld%2BewvVPVrA4Kx65VD1xuF0%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=6%2Bl8cewP8D3VQAnEkgZQIib5vwc%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=elf%2B2EroQBXu2l9qONzCHYGpuFU%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=202501300038510E08D31C2726E01F68FD&requestFrom=704&version_code=80402&x-expires=1769704731&x-signature=nZG09AWIFbX3cxGmYsbrOMpcMXA%3D)
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