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[初中数学]全军覆没的一道最值问题，构造将军饮马很重要！
初中数学合集58/138
![[初中数学]费马点难题警告：求3PA+4PB+5PC最小值](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/534a32ebd98c437f9144e9bf2c93d221~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=V0NSutOqYRW%2BrEt7sourUHICmJw%3D)
App09:53![[初中数学]全军覆没的一道最值问题，构造将军饮马很重要！](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/5619ac96344145d9a22aff820dee75ed~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=nGZrCuPGGVJ2SmgIdhkvH7%2FXDuI%3D)
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App11:30![[初中数学]布罗卡尔点——等腰＋相似，原来如此，相似三角形](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/71a24bd5cb8049f299d8faaeb12a4767~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=cGNOnV58hW9CLl1JaOccQZbd6mY%3D)
App03:31![[初中数学]加权费马点问题，为什么系数是勾股数，直击本质](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/9fe1d634810c4e70a62a7870546bd93c~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=11KB%2BopESJTksY2P2xz4%2FO26KBw%3D)
App08:40![[初中数学]瓜豆原理逆运用，纯几何法解最值问题，你学废了吗？](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/93247b5a344d4f759991a1c5f6ca4dc8~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=mFXHAlsLBCFHA01iqaGEgYXXbVw%3D)
App12:36![[初中数学]平面几何辅助线怎么作？寻找题干中的蛛丝马迹](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/a69424ac6bfb4c158110b3ba46f3e585~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=PgPsA74wPw%2B8S6UsdiiuwV0vkBM%3D)
App08:28![[初中数学]究竟是一线三垂直，还是隐形圆？代几综合](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f815c3b7c9384029a80881cf89036987~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=TIE0%2FAZ1cfUb2GB%2FFvfHJ%2Fd9FLk%3D)
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App08:40![平面几何中的“海盗埋宝”模型[初中数学]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/6ad865d4be814ab7b2a5b68568475f3c~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=rta4zO5yYZ1%2FVGSbrGyxHfU3LJA%3D)
App08:51![[中考数学]反向手拉手模型](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/fd44fd2e075b4ef4a588a06d171801cb~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=5TUeIXa7d1PXzlp%2BuHqsPeMQo6Q%3D)
App09:39![[中考数学]平面几何模型——中点四边形模型](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7b78bc4dfbb64bdda49ee7b338068a23~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=lbYGtW%2Bp3YGRLjqwqoDOv1f7cYU%3D)
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App07:08![[初中数学]教材上删掉的 四点共圆 究竟多好用？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c02559c1bd3641dd94f5ea3cf992a55d~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=5ySunCXqQ4Lv%2F%2Fk5Tj1yx75NVKM%3D)
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App15:35![[初中数学]三线共点怎么办？三线共点必旋转](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f6c969df820b4fb49870eea103eff833~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=BPBs2lbVFhqCa00tvIdZELlg%2F1Y%3D)
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App11:01![[中考数学]反向手拉手模型是什么](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/d7b18217ff6544389af71297cfd2700e~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=trcFGr%2Bt%2FAHdCu71vbB8W1GbicI%3D)
App21:23![二次函数有毒？这节课就是解药！[初中数学]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/67d743c49d43484c8133d7204aabe8a3~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=7t554Fq2KHkIGyOKk7qVlYYKlFQ%3D)
App12:05![一节课学会隐圆问题[平面几何]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/6a941bf864f84f8b87205156049a174a~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=2024113015382969E447B939354985C85D&requestFrom=704&version_code=80402&x-expires=1764488310&x-signature=glR%2B2DBxaG1vc8QoJpxE9uo%2FYGI%3D)
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