直线Y=2X与椭圆X눀⼀4+Y눀⼀9=1交于点A(X1,Y1),B(X2,Y2)则X1X2+Y1Y2=

2025-06-21 15:35:55
推荐回答(2个)
回答1:

X²/4+Y²/9=1
y=2x
x^2/4+4x^2/9=1
25x^2/36=1
x1=6/5 y1=12/5
x2=-6/5 y2=-12/5
则X1X2+Y1Y2=-36/25-144/25=-36/5
请参考……

回答2:

把y=2x带入椭圆x2/4+y2/9=1
x2/4+4x2/9=1
求的x2=11/36
y2=4x2
所以x2+y2=5*11/36=55/36