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将几何题变成方程可解性的问题

2023-01-20 20:20 作者:青肉Ong-gia  | 我要投稿
{"ops":[{"insert":"先看一道几何题吧\n"},{"attributes":{"class":"normal-img"},"insert":{"native-image":{"alt":"read-normal-img","url":"https://b1.sanwen.net/b_article/f78e3dcf2adb508ecb7904798752fa5b831953fb.jpg","width":2026,"height":383,"size":129158,"status":"loaded"}}},{"insert":"(H点是垂心!!!!!!)\n题目不是很难,主要为讲解思路\n可以先自己做一做\n\n\n\n\n\n\n\n\n\n\n\n先看传统几何法吧\n"},{"attributes":{"class":"normal-img"},"insert":{"native-image":{"alt":"read-normal-img","url":"https://b1.sanwen.net/b_article/1ece8375a7e786c5b2f47bc1d2d0fef1eea34ce7.jpg","width":2026,"height":1113,"size":553752,"status":"loaded"}}},{"insert":"众所周知,几何法优势在于直观简洁,计算量小,但缺点就在于思路比较难想\n相比起来解析法思路更为自然\n下面看看点几何法(向量法)\n"},{"attributes":{"class":"normal-img"},"insert":{"native-image":{"alt":"read-normal-img","url":"https://b1.sanwen.net/b_article/6718ec56c5691fa3777df050b7676aba9c25a5c1.jpg","width":2025,"height":641,"size":372082,"status":"loaded"}}},{"insert":"\n"},{"attributes":{"class":"normal-img"},"insert":{"native-image":{"alt":"read-normal-img","url":"https://b1.sanwen.net/b_article/e2addd14e5c40749032ee51540e9b40abad57b98.jpg","width":980,"height":358,"size":146007,"status":"loaded"}}},{"insert":"上述证明使用的是恒等式证明法,不清楚的可以看看我的专栏\n但是使用恒等式证明是有可能构造不出恒等式的,其原因是因为可能对原有几何条件翻译不到位\n下面我们再看看另一种恒等式证明\n"},{"attributes":{"class":"normal-img"},"insert":{"native-image":{"alt":"read-normal-img","url":"https://b1.sanwen.net/b_article/b7b961e331394e756e7ba7cb2272b9c00e0c6d8f.jpg","width":1426,"height":1258,"size":496836,"status":"loaded"}}},{"insert":"\n其中本人有个小想法,或许最终的线性方程组不一定要解,而是只要证明其解的存在性即可,即可比较其系数矩阵与增广矩阵的秩\n这样亦可证明原题\n\n"}]}

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