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初三数学压轴题难度之最，辅助线竟然那么多#初中数学解题技巧
初三数学同步课堂25/26
![[初三数学同步课01]二次函数的定义、图像和性质](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/bfb4bacc85f441fd9d05db0923e1a46d~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=pb62gYngDUIakj8IYKu%2BG%2BuCP24%3D)
App28:06![[初三数学02]二次函数的解析式：一般式，顶点式，交点式](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/5975189c3d5a4303b218491360020acd~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=pC0l6yE0HgHxJzqPHyfOyzZ0d5o%3D)
App16:08![[初三数学03]二次函数的图像变换：平移、对称和旋转](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/46644e294adb47e28dab195e07d28156~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=ss8U6GGbLbfYQWJubS7trgkLAAg%3D)
App18:22![[初三数学04]二次函数与一元二次方程（不等式）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/37acc95313ef4db1ae0e40520d04644d~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=umteuLa2kSOdk5RXgv2bHb7PDRU%3D)
App22:06![二次函数区间最值，中考常客，一节课学会[初三数学05]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e4e3fcc8af694b7c8e9646424216aa54~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=dPq4%2BVbhx4QpYWDxk57C%2F0okfng%3D)
App21:54![[初三数学06]成比例线段，黄金分割](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/da5c10506ea0463fa7e611e1fdcc24ec~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=n30EWEyT9o6iGOXFds3kQOb5A84%3D)
App25:52![[初三数学07]证明平行线分线段成比例定理？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e6f7a68089414682bb33ff45e0e8a561~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=YiQq531ARm0C%2Fpc%2FEuir4HekDcs%3D)
App07:35![[初三数学08]相似三角形的性质和判定](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/df1d5a250ad644e9aae9721355f24124~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=MTUE6iVhOhT%2FTxz8SV6rSmSF594%3D)
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App14:51![[中考数学]直击切线的本质：判定＆性质](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c23dd328319a46a29d01dff538cd9af5~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=2HUo8Cl4XQg4eg479fsytMAqJs4%3D)
App15:52![[初中数学]这道将军饮马问题，居然有三个动点！](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/97c4de831ed84c0699d9eba4d0db1f93~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=le%2FSP4fBjf7s9Si%2FRsnDiz3VvGY%3D)
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App16:08![[初三数学]相似三角形＆对称变换，从何入手？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c0555d757c044222916562d0d2c77543~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=MiQSPJNz82F%2BkU8Dk%2BzSAVX5vXY%3D)
App16:41![[初中数学]从全等到相似：手拉手模型](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b0991b1253054c1c9e1b1bdf903d75dd~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=nZf86IEe8m%2FQUJeM0ojGD6WBKK0%3D)
App17:02![[初三数学10]圆的概念、垂径定理、圆周角定理](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/8c56beafff9d4ab98f186cfc1e452de5~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=w44FxxxEovipNPWWNmzfeB88VcI%3D)
App30:07![中考必备，圆的切线[初三数学11]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/db3b93ccb80548dc9a58b800bb5f41d8~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=2025030903403201122C2BE398B97FDAEA&requestFrom=704&version_code=80402&x-expires=1772998833&x-signature=gcY30i7g9fpRnHWd67tNR3AXKZ0%3D)
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