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將幾何題變成方程可解性的問題

2023-01-20 20:20 作者:青肉Ong-gia  | 我要投稿
{"ops":[{"insert":"先看一道幾何題吧\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點是垂心?。。。。。。‐n題目不是很難,主要為講解思路\n可以先自己做一做\n\n\n\n\n\n\n\n\n\n\n\n先看傳統(tǒng)幾何法吧\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":"眾所周知,幾何法優(yōu)勢在于直觀簡潔,計算量小,但缺點就在于思路比較難想\n相比起來解析法思路更為自然\n下面看看點幾何法(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":"上述證明使用的是恒等式證明法,不清楚的可以看看我的專欄\n但是使用恒等式證明是有可能構造不出恒等式的,其原因是因為可能對原有幾何條件翻譯不到位\n下面我們再看看另一種恒等式證明\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其中本人有個小想法,或許最終的線性方程組不一定要解,而是只要證明其解的存在性即可,即可比較其系數(shù)矩陣與增廣矩陣的秩\n這樣亦可證明原題\n\n"}]}

將幾何題變成方程可解性的問題的評論 (共 條)

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