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(1) ||PF1|-|PF2||=2
2a=2
a=1
c/a=2
c=2a
=2×1
=2
a^2=1
b^2=c^2-a^2
=2^2-1^2
=3
双曲线方程：x^2-y^2/3=1
(2) 3x^2-y^2=3
F2(2,0)
L：y-0=1(x-2)
y=x-2
3x^2-(x-2)^2=3
2x^2+4x-4=3
2x^2+4x=7
2(x+1)^2=7+2
x+1=±3√2/2
x=-1±3√2/2
y=x-2
=-1±3√2/2-2
=-3±3√2/2
P(-1-3√2/2,-3-3√2/2)
Q(-1+3√2/2,-3+3√2/2)
M(-1,0)
MP=(-3√2/2,-3-3√2/2)
MQ=(3√2/2,-3+3√2/2)
MP·MQ=(-3√2/2)(3√2/2)+(-3-3√2/2)(-3+3√2/2)
=-9/2+9-9/2
=0
2a=2
a=1
c/a=2
c=2a
=2×1
=2
a^2=1
b^2=c^2-a^2
=2^2-1^2
=3
双曲线方程：x^2-y^2/3=1
(2) 3x^2-y^2=3
F2(2,0)
L：y-0=1(x-2)
y=x-2
3x^2-(x-2)^2=3
2x^2+4x-4=3
2x^2+4x=7
2(x+1)^2=7+2
x+1=±3√2/2
x=-1±3√2/2
y=x-2
=-1±3√2/2-2
=-3±3√2/2
P(-1-3√2/2,-3-3√2/2)
Q(-1+3√2/2,-3+3√2/2)
M(-1,0)
MP=(-3√2/2,-3-3√2/2)
MQ=(3√2/2,-3+3√2/2)
MP·MQ=(-3√2/2)(3√2/2)+(-3-3√2/2)(-3+3√2/2)
=-9/2+9-9/2
=0
追问
题目写错了 斜率是k不是1
这样该怎么做
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