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一节课学会证明距离公式！三种方法，这种最妙！
平面解析几何5/20
![[高中数学]定比分点定理，距离公式，中点公式](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/03c0239577994cfaa0edbf61b9f96c84~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=8GRhKv%2BPdnrfoH%2BBvRba9Ssie6Q%3D)
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App09:21![[高中数学]直线倾斜角、斜率，为什么直线垂直k1·k2=-1？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b22359079e94487b81fad02110643e8a~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=DTSa6SkdhIAphnSv5fcYEVlLmSE%3D)
App21:18![[高中数学]直线方程的7种形式](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/6a0728000d46498590fd9fa4f59415f6~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=G4KV%2B1DMiNGLlx66ViqL7pV%2FH5k%3D)
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App12:32![[高中数学]直线系方程，这样理解简单极了！](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f918eae7722d4d24a7733fb8cc13fdc3~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=wVKgwxNDSlF05KJcuWP5dhbSBG8%3D)
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App22:31![[数学竞赛]直线的法线式方程](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/78f8a08c9c3b405582a17cf8703f814f~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=NSsv%2B5yJR2DAdgmgYgpe7hD8r9c%3D)
App11:05![[高考数学]如何快速求圆的切线方程，90%的高考题都这样！](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cd5b293d40004185b71ba42653bf2b4f~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=pL8JN%2F7KEMN5ktqpItbi6oZAf5E%3D)
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App13:39![[圆锥曲线1]椭圆的标准方程＆椭圆两种定义](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/1e2f0a4eed204d2fb9771aeadaac4016~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=JohSBxZfe6iCBed0oBg8Ef3Db1E%3D)
App13:08![[圆锥曲线2]椭圆第二定义＆椭圆基本性质、基本量](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0f2cd5e7b84d4acbad6b20e062476387~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=Im97wa%2B%2BIJEog9KU2Uq%2FU3Tn0jM%3D)
App17:31![[圆锥曲线3]椭圆第三定义及其推广](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/dadde0cca26f4095879d44aa65a3983d~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=7TnvA5gnfyfCrt1KF%2BLHrVmn31U%3D)
App13:05![[圆锥曲线4]双曲线的第一定义和基本性质](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/82c78ab294a9464b81aef7228537df33~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=Xwt%2FQRYemTGqLSzWW04q6BLU7yY%3D)
App23:26![[圆锥曲线5]双曲线第二、第三定义](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/e8c3375823764f13b4cf4f8bf56b2447~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=QTKbi02MWWuBeQVzAgD7vH2xp2Y%3D)
App09:59![[圆锥曲线6]椭圆的中点弦问题，你会几种方法？](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/1a2e19a919544c3b8441f30b4a8d79cc~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=8nMSY0Fe4nlT7uNw%2BglwEtq984o%3D)
App13:30![[高中数学]一道好题，直线方程、均值不等式、初等数论都考了！](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f3bcceb999d54cb598e66076d9b398b4~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=qJUQMokYX6bccPXAApt35uKf864%3D)
App14:54![[高考数学]圆锥曲线最强解题技巧：90°→直线过定点](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/a7608ffb29a943e09279aee899c0f383~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=cr0tBiMmfPToK4lywjBphBrUYH8%3D)
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App15:04![[圆锥曲线7]抛物线的定义＆抛物线方程](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/2c4143f2ac3147899aade8a43a66fa54~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=202406172051428E9D3B42C724EB093693&requestFrom=704&version_code=80402&x-expires=1750164703&x-signature=BfG99giqiS0QQXhJELcGVnCq7DI%3D)
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