Question

已知抛物线Y=X²+MX=N与X轴的正半轴交与A,B两点,与Y轴交与C点.且AB=2,S△ABC=1,求M,N

Answer 1

AB=2,S△ABC=1,

OC=1

C(0,1) N=1

设A(X1,0)B(X2,0) X2>X1 AB=2

X2-X1=2 X1X2=1

(X2-X1)^2=4

(X2+X1)^2-4X1X2=4

(X2+X1)^2=8

X2+X1=2√2=－M

M=－2√2

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