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黄金分割在中考、高考中的应用，数学与美
中考数学合集4/167
![[中考数学]浙江温州中考几何大题，平行是关键！](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/195f9adf1b8745329489f42753b5a44b~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=N8vo0sh18b8zdv1%2F7qGBEtQv7so%3D)
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App17:44![[冲刺中考满分]二次函数+等腰三角形：两圆一线作等腰|中考数学](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/b4bfe55d3cab4f0c9782208a8d8b0b0b~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=wgq%2F%2Fvq2ovOn41G6gdL33k%2F6IK8%3D)
App14:51![[中考数学]角平分线+旋转变换——2020陕西中考压轴题](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/3a5d14d8fb994703872663819b489a69~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=YOCbbew0vS%2Bow5ed1iGEAoCVAbo%3D)
App14:02![[中考数学]福建中考二次函数压轴题，计算量超大，快来挑战一下](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/fdc67527529043118eb50ccb304195ab~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=LK35meHVOhMHLs30ZkQYhhRR1lM%3D)
App13:08![[中考数学]胡不归问题+二次函数=不讲武德](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/5e2ff5f232b74b9d86116a2150d35f24~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=Z%2FTekFfvtdAEOdwnvVGlHter1Po%3D)
App11:34![[中考数学]瓜豆原理求最值——湖北十堰中考压轴小题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/1758e2bcb3ab4f6d9dac468d94c3e3d9~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=XhLV4J2Jwm6FKtOtE1J%2FvGw3pF8%3D)
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App04:50![[中考数学]二次函数压轴小题，学会这些，解题易如反掌](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ebfc6e425ae345eeb06725a89c751b98~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=iVJgCDMeswrpT7nU8AXTThywfhI%3D)
App11:57![[中考数学]乍看是反比例函数，细看二次函数，快点进来！](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/768fa6dc5876432fa3377780b39a06bf~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=yFGcq7wyfnRiOcuf0PRmjr4y7tU%3D)
App14:19![[中考数学]2019淮安中考压轴题，是瓜豆原理？还是隐形圆？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4440a0754f3a46d1af927cf9ec51aeef~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=%2Bzb3Tqf5NIlKPefUKNLoCwPpW00%3D)
App08:38![[中考数学]含参二次函数最值讨论，二次函数区间最值](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/b73138ab7dbe48039ec3c06c1cc17382~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=DMzdK0O76IcSKL9VL4FuYsLpy%2Bc%3D)
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App11:40![[中考数学]当“将军饮马”遇到“二次函数”，你还会做吗？](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ef084c0ad5324a86bba67916c3795004~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=BVxFMnbTIWkwMj6oNO5ua%2Bb%2B2dU%3D)
App06:19![[中考数学]二次函数图像性质，极限思想，秒出答案](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3fc0a41ac12448cfa800afb006f1223b~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=i0a%2F5TSsajyC0uskDpdpfMN770o%3D)
App07:04![[中考数学]全国教育看江苏，江苏教育看南通，南通中考好难呀！](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/9a1229b475184ccc8a2b4946d7e6380d~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=iiNoNo6f0PMZ53bAW%2F6iGWvatRc%3D)
App16:03![[中考数学神级技巧]阿基米德折弦定理秒解深圳中考压轴题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3e93024b86ee4f829bb4d92a7553c046~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=7TbuHUS9lkE1SccoX2Y%2FMBCTzsc%3D)
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App09:58![[中考数学]“定角定角平分线”模型——隐形圆问题](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/027561a3880b45b8a4e93ffb4079aaa9~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=UrEVt7TydezsriKvC6FVHSXVJ0E%3D)
App09:37![[初中数学]教材上的韦达定理是选学吗？（北京中考）射影定理](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/153c4e7774d44a2aa61869b06074fe67~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=cf2uIBmqiGjL0dKuTgRx5vzwxkA%3D)
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App05:14![[中考数学]瓜豆模型与正方形问题，学霸听完开心极了](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c80f08a0c647475ca53a2f8a5a226086~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=W7UCJlCbXnxDDvtWkxzHoE3qz1c%3D)
App07:29![[冲刺中考数学满分]二次函数+直角三角形：两垂一圆作直角](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e274818c14b5448ea6242ebe368a9622~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=Jqfi2Dbpz0lCJPuiaRZ4IBmgMxw%3D)
App07:29![[中考数学]七巧板拼接问题，先整体再局部，很妙](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/b364c47bb9084ce797ed72a84719a19c~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=tAhOC7ljPlJO5PfEQSgVMDwATxU%3D)
App08:29![[中考数学]坐标系中的折叠问题+一线三直角，妙哉妙哉](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/71019e810a1e457d96988e59e53b5c50~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=gp5Kr1MaerKyjVPsk%2FNlWoZEBA4%3D)
App10:27![[中考数学]瓜豆原理求线段最大值（第二种解法）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/1963a80868e0452eb1ca70ba1a15c5fc~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=IwDhGwfajqphh5Z0zoItwG6MQS0%3D)
App07:11![[中考数学]你见过如此奇怪的''将军饮马''问题吗？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7095282599e140a18555f0faa27448f4~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=6wItwhbvf1ICOhGJA6M3gjRdg3g%3D)
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App07:13![[中考数学]平面几何三大变换——对称变换，折叠变换](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b006a2c9d25d44edb638d665b4af5d11~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=202502191534099B6A9DF9301413814F20&requestFrom=704&version_code=80402&x-expires=1771486449&x-signature=AT3lYWdedjPM1RdYq5thQt4IIQg%3D)
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