2023乙卷圓錐曲線是很簡單的齊次化！12分送到手！

2023-07-31 11:28 作者:因戀相思久 0人讀過 | 我要投稿

$%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3A%5Cfrac%7Bx%5E2%20%7D%7Ba%5E2%20%7D%20%2B%5Cfrac%7By%5E2%20%7D%7Bb%5E2%7D%20%3D1(a%3Eb%3E0)%E7%9A%84$

$%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B3%7D%20%EF%BC%8C%E7%82%B9A(-2%2C0)%E5%9C%A8C%E4%B8%8A%E3%80%82$

$(1)%E6%B1%82C%E7%9A%84%E6%96%B9%E7%A8%8B$

$(2)%E8%BF%87%E7%82%B9(-2%2C3)%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4C%E4%BA%8E%E7%82%B9P%2CQ%E4%B8%A4%E7%82%B9$

$%E7%9B%B4%E7%BA%BFAP%2CAQ%E4%B8%8Ey%E8%BD%B4%E7%9A%84%E4%BA%A4%E7%82%B9%E4%B8%BAM%2CN%2C%E8%AF%81%E6%98%8E%EF%BC%9A$

$%E7%BA%BF%E6%AE%B5MN%E7%9A%84%E4%B8%AD%E7%82%B9%E4%B8%BA%E5%AE%9A%E7%82%B9$

$(1)$

$%E6%98%BE%E7%84%B6b%3D2$

$e%3D%5Cfrac%7Bc%7D%7Ba%7D%20%3D%3D%5Cfrac%7B%5Csqrt%7Ba%5E2-b%5E2%7D%20%7D%7Ba%7D%20%3D%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B3%7D%20$

$%E8%A7%A3%E5%BE%97a%5E2%3D9$

$C%3A%5Cfrac%7Bx%5E2%20%7D%7B9%7D%20%2B%5Cfrac%7By%5E2%20%7D%7B4%7D%20%3D1$

$(2)$

$%E8%AE%BEP%EF%BC%88x_%7B1%7D%20%EF%BC%8Cy_%7B1%7D%20%EF%BC%89%EF%BC%8CQ%EF%BC%88x_%7B2%7D%20%EF%BC%8Cy_%7B2%7D%20%EF%BC%89%E7%9B%B4%E7%BA%BFPQ%EF%BC%9An%EF%BC%88x%2B2%EF%BC%89%2Bmy%3D1%0A$

$%E6%89%80%E4%BB%A5%E7%9B%B4%E7%BA%BFAP%EF%BC%9Ay%3D%5Cfrac%7By_%7B1%7D%20%7D%7Bx_%7B1%7D%2B2%7D(x%2B2)%20$

$%E4%BB%A4x%3D0%5CRightarrow%20y_%7BM%7D%3D%5Cfrac%7B2y_%7B1%7D%7D%7Bx_%7B1%7D%2B2%7D%20$

$%E5%90%8C%E7%90%86%E5%8F%AF%E5%BE%97%20y_%7BN%7D%3D%5Cfrac%7B2y_%7B2%7D%7D%7Bx_%7B2%7D%2B2%7D%20$

$y_%7B0%7D%3D%5Cfrac%7By_%7BM%7D%2By_%7BN%7D%7D%7B2%7D%3D%20%5Cfrac%7By_%7B1%7D%7D%7Bx_%7B1%7D%2B2%7D%2B%20%5Cfrac%7By_%7B2%7D%7D%7Bx_%7B2%7D%2B2%7D%20$