求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值计算:√(1+2005^2+2005^2/2006^2)-1/2006 速度,在线等.对的加分.
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![求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值计算:√(1+2005^2+2005^2/2006^2)-1/2006 速度,在线等.对的加分.](/uploads/image/z/10281867-51-7.jpg?t=%E6%B1%82%E8%AF%81%EF%BC%9A%E2%88%9A%28a%5E2%2B1%2Fb%5E2%2Ba%5E2%2F%28ab%2B1%29%5E2%29%3D%7Ba%2B1%2Fb-a%2F%28ab%2B1%29+%7D+%7B%7D%E7%BB%9D%E5%AF%B9%E5%80%BC%E6%B1%82%E8%AF%81%EF%BC%9A%E2%88%9A%28a%5E2%2B1%2Fb%5E2%2Ba%5E2%2F%28ab%2B1%29%5E2%29%3D%7Ba%2B1%2Fb-a%2F%28ab%2B1%29+%7D++++%7B%7D%E7%BB%9D%E5%AF%B9%E5%80%BC%E8%AE%A1%E7%AE%97%EF%BC%9A%E2%88%9A%EF%BC%881%2B2005%5E2%2B2005%5E2%2F2006%5E2%29-1%2F2006++%E9%80%9F%E5%BA%A6%2C%E5%9C%A8%E7%BA%BF%E7%AD%89.%E5%AF%B9%E7%9A%84%E5%8A%A0%E5%88%86.)
求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值计算:√(1+2005^2+2005^2/2006^2)-1/2006 速度,在线等.对的加分.
求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值
求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值
计算:√(1+2005^2+2005^2/2006^2)-1/2006
速度,在线等.对的加分.
求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值求证:√(a^2+1/b^2+a^2/(ab+1)^2)={a+1/b-a/(ab+1) } {}绝对值计算:√(1+2005^2+2005^2/2006^2)-1/2006 速度,在线等.对的加分.
(1)左边=a^2+1/a^2+2+b^2+1/b^2+2+a^2b^2+1/(a^2*b^2)+2
= a^2+1/a^2+b^2+1/b^2+a^2b^2+1/(a^2*b^2)+6
右边=4+2+ a^2+1/a^2+b^2+1/b^2+a^2b^2+1/(a^2*b^2)
=a^2+1/a^2+b^2+1/b^2+a^2b^2+1/(a^2*b^2)+6
左边=右边.
(2)设x=2006
1+2005^2+(2005^2/2006^2)
=1+(x-1)^2+(x-1)^2/x^2
=1+x^2-2x+1+1-2/x+1/x^2
=(x^2+2+1/x^2)-2*(x+1/x)+1
=(x+1/x)^2-2*(x+1/x)+1
=(x+1/x-1)^2
根号[1+2005^2+(2005^2/2006^2)]-1/2006
=x+1/x-1-1/x
=x-1
=2006-1
=2005