(1)解方程:(x^2+y^2)^2+1=x^2+y^2+2|x|y(2)解方程:x^2+2a|-x|-3a^2=0(3)设a,b,c,d是实数,求证:a^2+b^2=2,c^2+d^2=2,ac=bd成立的条件是当且仅a^2+c^2=2,b^2+d^2=2,ab=cd均成立.(这题哪位大师能用简单的方法做
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![(1)解方程:(x^2+y^2)^2+1=x^2+y^2+2|x|y(2)解方程:x^2+2a|-x|-3a^2=0(3)设a,b,c,d是实数,求证:a^2+b^2=2,c^2+d^2=2,ac=bd成立的条件是当且仅a^2+c^2=2,b^2+d^2=2,ab=cd均成立.(这题哪位大师能用简单的方法做](/uploads/image/z/13267348-52-8.jpg?t=%EF%BC%881%EF%BC%89%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%BC%9A%28x%5E2%2By%5E2%29%5E2%2B1%3Dx%5E2%2By%5E2%2B2%7Cx%7Cy%EF%BC%882%EF%BC%89%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%BC%9Ax%5E2%2B2a%7C-x%7C-3a%5E2%3D0%EF%BC%883%EF%BC%89%E8%AE%BEa%2Cb%2Cc%2Cd%E6%98%AF%E5%AE%9E%E6%95%B0%2C%E6%B1%82%E8%AF%81%3Aa%5E2%2Bb%5E2%3D2%2Cc%5E2%2Bd%5E2%3D2%2Cac%3Dbd%E6%88%90%E7%AB%8B%E7%9A%84%E6%9D%A1%E4%BB%B6%E6%98%AF%E5%BD%93%E4%B8%94%E4%BB%85a%5E2%2Bc%5E2%3D2%2Cb%5E2%2Bd%5E2%3D2%2Cab%3Dcd%E5%9D%87%E6%88%90%E7%AB%8B.%EF%BC%88%E8%BF%99%E9%A2%98%E5%93%AA%E4%BD%8D%E5%A4%A7%E5%B8%88%E8%83%BD%E7%94%A8%E7%AE%80%E5%8D%95%E7%9A%84%E6%96%B9%E6%B3%95%E5%81%9A)
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