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[几何] 平面内两条二次曲线是否最多4个交点啊?

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realnumber Posted 2024-5-15 09:50 |Read mode
不一定是标准方程,怎么证明啊?画图似乎很显然

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爪机专用 Posted 2024-5-15 12:26
消元后至多四次,当然不可能有五根啊
I am majia of kuing

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 Author| realnumber Posted 2024-5-15 12:41
怎么消啊,都带二次项的

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kuing Posted 2024-5-15 12:57
`A_1x^2+...=0`①
`A_2x^2+...=0`②
那就 `A_2`*①-`A_1`*② 就没 `x^2` 项了,然后就可以有 `x=...` 代入其中一式。

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知道了,也可以一个化为标准方程,另一个一次的部分移动到一边就平方一次就可以  Posted 2024-5-15 12:59

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