论文部分内容阅读
题目(2005湖南卷)已知函数f(x)=lnx,g(x)=1/2ax2+bx,a≠0,(1)略;(2)设函数f(x)的图象C1与函数g(x)的图象C2交于点P、Q,过线段PQ的中点作x轴的垂线分别交C1、C2于点M、N.证明C1在点M处的切线与C2在点N处的切线不平行.
Title (2005 Hunan) Known function f (x) = lnx, g (x) = 1/2 ax 2 + bx, a ≠ 0, (1) Slightly; (2) Let function f (x) be the image C1 and The image C2 of the function g(x) intersects points P and Q. The vertical line passing through the midpoint of the line PQ as the x-axis intersects C1 and C2 at points M and N. Prove that the tangent of C1 at point M and C2 are The tangents at point N are not parallel.