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抛物线（两点式解法）

2023-01-11 21:18 作者:因恋相思久 0人读过 | 我要投稿

20.已知抛物线 $C%EF%BC%9Ay%5E2%20%3D4x$ ，点 $M(-2%EF%BC%8C0)%EF%BC%8CN%EF%BC%882%EF%BC%8C2%EF%BC%89$ ，过点 $M$ 作直线交抛物线于不同两点 $A%2CB$ ，直线 $AN$ 交抛物线于另一点 $D$ ，求证：直线 $BD$ 过定点

$%E8%A7%A3%EF%BC%8C%E8%AE%BEA(x_%7B1%7D%20%2Cy_%7B1%7D%20)%2CB(x_%7B2%7D%2C%20y_%7B2%7D%20)%2CD(x_%7B3%7D%2C%20y_%7B3%7D%20)$

$%EF%BC%88%E7%9B%B4%E7%BA%BF%E6%96%9C%E7%8E%87%E5%AD%98%E5%9C%A8%EF%BC%89$

$%E5%9B%A0%E4%B8%BA%E7%9B%B4%E7%BA%BFAB%EF%BC%9A(y_%7B1%7D%2B%20y_%7B2%7D)y%3D4x%2B%20y_%7B1%7D%20y_%7B2%7D%20$

$%E7%9B%B4%E7%BA%BFAD%EF%BC%9A(y_%7B1%7D%2B%20y_%7B3%7D)y%3D4x%2B%20y_%7B1%7D%20y_%7B3%7D%20$

$%E7%9B%B4%E7%BA%BFBD%EF%BC%9A(y_%7B2%7D%2B%20y_%7B3%7D)y%3D4x%2B%20y_%7B2%7D%20y_%7B3%7D%20$

$%E5%9B%A0%E4%B8%BA%E7%9B%B4%E7%BA%BFAB%E8%BF%87M%EF%BC%88-2%EF%BC%8C0%EF%BC%89$

$%E6%89%80%E4%BB%A50%3D-8%2By_%7B1%7D%20y_%7B2%7D%20$

$%E5%8D%B3y_%7B1%7D%20%3D%5Cfrac%7B8%7D%7By_%7B2%7D%20%7D%20%5Cotimes%20$

$%E5%9B%A0%E4%B8%BA%E7%9B%B4%E7%BA%BFAD%E8%BF%87N%EF%BC%882%EF%BC%8C2%EF%BC%89$

$%E6%89%80%E4%BB%A52(y_%7B1%7D%2B%20y_%7B3%7D)%3D8%2B%20y_%7B1%7D%20y_%7B3%7D%20$

$%E5%B0%86%5Cotimes%20%E4%BB%A3%E5%85%A5%E5%BE%97%E5%88%B0$

$2(%5Cfrac%7B8%7D%7By_%7B2%7D%20%7D%20%2B%20y_%7B3%7D)%3D8%2B%20%5Cfrac%7B8%7D%7By_%7B2%7D%20%7D%20%20y_%7B3%7D%20$

$%E6%95%B4%E7%90%86%E6%9C%894(y_%7B2%7D%2B%20y_%7B3%7D)%3D8%2B%20y_%7B2%7D%20y_%7B3%7D%20$

$%E8%BF%87%E5%AE%9A%E7%82%B9%EF%BC%882%EF%BC%8C4%EF%BC%89$

$%EF%BC%88%E4%B8%8E%E7%9B%B4%E7%BA%BFBD%E5%AF%B9%E6%AF%94%EF%BC%89$

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