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斐波那契数列的通项公式的快速求法，巧用对称思想|高中数学
高中数学合集14/59
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App09:18![[高中数学＆自主招生]教材上删掉的均值不等式究竟多好用？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/da818779660c464482402ca4dbb87b87~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=momKlULNQOltDdwE3Dx5CQG%2B3SQ%3D)
App09:27![[高中数学]2020天津高考数学导函数大题-比值换元，巧用放缩](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/d46ece0739b94f80a437a6baaaa679db~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=NIR6t%2BIOvUYBR3rFVeJV2%2BBVgkE%3D)
App12:23![[高中数学]函数性质--单调性，抽象函数单调性怎么证](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/50fcd494bea24d9ea17a700b6a96b3fa~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=ChdVZqU2haQMEzUkDUhwIojURfk%3D)
App17:39![[高中数学＆自主招生]三角形重心与向量综合](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b8e90bf434c8405389118c11159430f1~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=8tkyKAGZ6BWmHmRbuM4apR0drR4%3D)
App13:38![[高中数学]数列求和，裂项求和，指数型裂项如何理解？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/d9745d6d85a048cb91531b82529e5c8f~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=ZewCNtOTdaSMHPj4eh4t55D%2B49Q%3D)
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App12:38![[高中数学]如何证明均值不等式？（居然可以用射影定理）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/a98eacca0b46481496141c0430788a2f~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=Z9TXVgz0BTo%2F5XwMNksjmqWBBQQ%3D)
App04:40![[高中数学]圆锥曲线中倒斜式的妙用＆关于y的非对称韦达式](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b3af5f74cea2410585f3a5e18c488891~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=OrYXKzkVOuIZoAkqu5kA%2F4WmqYI%3D)
App08:58![[高中数学]二次函数实根分布的这道题目，你会做吗？](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/71d2f44775c1482e82595f3bb1a3dfda~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=iaExAsUlwVIDLveBaa25m6unu7Y%3D)
App08:58![[高中数学]点到直线距离公式＆平行线之间距离公式|解析几何](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4e67ef1f2d6a4f7d8da4cfde2dec36b6~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=iWi%2BQce2sd8JRsbrWhM4otuTRow%3D)
App08:09![[高中数学]洛必达法则的正确打开方式：洛必达→洛必错！](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/0b8ed316528e40d6898bfe0f2bd97181~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=%2Fq1drluPOZQYqfnTKyY9TKYoiSw%3D)
App20:15![[高中数学]立体几何中的将军饮马问题，初中生也会解](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/6ed9ddf0221342329624ad6a8fcb2a61~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=udQTWNi364fy7C%2FfgYsGAufW%2FwU%3D)
App11:19![[高中数学]圆锥曲线中的四点共圆和圆幂定理，斜率之和为0？](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/1c946989ae604f34952e578927fc1b43~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=20250502111719CA2F2FB1E3111E37F29F&requestFrom=704&version_code=80402&x-expires=1777691839&x-signature=XEr7SU833KJsM%2FJKsF68lkMivfM%3D)
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