论文部分内容阅读
请看下面一道高考题:例设直线x-3y+m=0(m≠0)与双曲线x~2/a~2-y~2/b~2=1(a>0,b>0)的两条渐进线分别交于点A,B,若点P(m,0)满足|PA|=|PB|,则该双曲线的离心率是.赏析应该说,对大多数同学而言,这道题不算难,所以我们这里并不想就这道题本身作太多的讨论.本文讨论的重点是想将高考卷中曾经出现的几个有关问题作统一考虑,即讨论一个更一般的问题:一般地,一条直线l:Ax+By+C=0,(A·B≠0)与一个齐二次标准圆锥曲线C:x~2/m~2±y~2/n~2=λ,其中
Take a look at the college entrance examination questions below: For example, let's assume that the line x-3y + m = 0 (m ≠ 0) and the hyperbolic line x ~ 2 / a ~ 2 ~ y ~ 2 / b ~ 2 = 1 ) Of the two asymptotic lines were turned to point A, B, if the point P (m, 0) to meet | PA | = | PB |, then the hyperbolic eccentricity is. Appreciation It should be said that for most students , This issue is not too difficult, so here we do not want to make too much discussion on this issue itself.The focus of this article is to think about the several questions that have appeared in the college entrance examination volume for a unified consideration, that is, to discuss a more general In general, a straight line l: Ax + By + C = 0, (A · B ≠ 0) and a homogeneous quadratic conic C: x ~ 2 / m ~ 2 ± y ~ 2 / n ~ 2 = λ, where