已知M(3,1),N(1,y),且|MN|=根号下29,求y的值
问题描述:
已知M(3,1),N(1,y),且|MN|=根号下29,求y的值
答
MN=(2,1-y)
|MN|^2=2^2+(1-y)^2=4+(1-y)^2=29
(1-y)^2=25
1-y=5或1-y=-5
y=-4或y=6
答
6或-4
答
MN²=29
所以(3-1)²+(1-y)²=29
(1-y)²=25
1-y=,±5
y=-4,y=6