(2)设直线y=k(x-1) A(x1,y1) B(x2,y2) M(0,m)
联立:(3+4k^2)x^2-8k^2x+(4k^2-12)=0
x1+x2=8k^2/(3+4k^2) x1x2=4(k^2-3)/(3+4k^2)
MA=λAF x1=λ(1-x1) MB=μ BF x2=μ(1-x2)
λ+ μ=x1/(1-x1)+x2/(1-x2)=(x1+x2-2x1x2)/(1+x1x2-x1-x2)=-8/3
(3)D(4,y1) E(4,y2)
AE :y-y1=(y1-y2)/(x1-4)(x-x1) BD:y-y2=(y2-y1)/(x2-4)(x-x2)
交点((x1x2-16)/(x1+x2-8),2k(x1-4)(x2-4)/(x1+x2-8))
带入得(5/2,0)
是2012年福建省高考总复习数学最后冲刺模拟试卷二