已知(x+y)^2=1,(x-y)^2=49,求x^2+y^2 与 xy的值.
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已知(x+y)^2=1,(x-y)^2=49,求x^2+y^2与xy的值.已知(x+y)^2=1,(x-y)^2=49,求x^2+y^2与xy的值.已知(x+y)^2=1,(x-y)^2=49,求x^
已知(x+y)^2=1,(x-y)^2=49,求x^2+y^2 与 xy的值.
已知(x+y)^2=1,(x-y)^2=49,求x^2+y^2 与 xy的值.
已知(x+y)^2=1,(x-y)^2=49,求x^2+y^2 与 xy的值.
(x+y)^2=x^2+y^2+2xy=1
(x-y)^2=x^2+y^2-2xy=49
(x+y)^2+(x-y)^2=x^2+y^2+x^2+y^2+2xy-2xy=2x^2+2y^2=50
2x^2+2y^2=2(x^2+y^2)
x^2+y^2=25
2xy=1-x^2-y^2=24
xy=12
∴x^2+y^2=25
xy=12
x^2+y^2=25 两个式子的和除以2
xy=-12 第一个式子减第二个式子的差除以4
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