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[几何] 立体几何

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hjfmhh posted 2024-4-14 00:04 |Read mode

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original poster hjfmhh posted 2024-4-14 00:06
1713024306135.png 这个解法中2m^2+n^2=3怎么来的?

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kuing posted 2024-4-14 03:03
hjfmhh 发表于 2024-4-14 00:06
这个解法中2m^2+n^2=3怎么来的?
`m` 即是椭圆 `C_1` 中的 `y`;
`n` 即是双曲线 `C_2` 中的 `y`;
而 `x` 是同一个 `x`,因此
`x^2/4+m^2/2=1`
`x^2-n^2=1`
消 `x` 即得 `n^2+2m^2=3`。

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original poster hjfmhh posted 2024-4-14 09:03
kuing 发表于 2024-4-14 03:03
`m` 即是椭圆 `C_1` 中的 `y`;
`n` 即是双曲线 `C_2` 中的 `y`;
而 `x` 是同一个 `x`,因此
谢谢

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