2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)·····先化简再求值:2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)其中a=1+根号2
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![2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)·····先化简再求值:2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)其中a=1+根号2](/uploads/image/z/1583365-13-5.jpg?t=2%2F%28a-2%29%2B%28a%26%23178%3B-4a%2B4%29%2F%28a%26%23178%3B-1%29%C3%B7%28a-2%29%2F%28a%2B1%29%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%E5%85%88%E5%8C%96%E7%AE%80%E5%86%8D%E6%B1%82%E5%80%BC%EF%BC%9A2%2F%28a-2%29%2B%28a%26%23178%3B-4a%2B4%29%2F%28a%26%23178%3B-1%29%C3%B7%28a-2%29%2F%28a%2B1%29%E5%85%B6%E4%B8%ADa%3D1%2B%E6%A0%B9%E5%8F%B72)
2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)·····先化简再求值:2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)其中a=1+根号2
2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)·····
先化简再求值:2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)其中a=1+根号2
2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)·····先化简再求值:2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)其中a=1+根号2
2/(a-2)+(a²-4a+4)/(a²-1)÷(a-2)/(a+1)
=2/(a-2)+(a-2)²/([(a+1)(a-1)]×(a+1)/(a-2)
=2/(a-2)+(a-2)/(a-1)
=[2(a-1)+(a-2)²]/[(a-2)(a-1)]
=[2(1+√2-1)+(1+√2-2)]/[(1+√2-2)(1+√2-1)]
={√2-1)/[(√2-1)×√2]
=(√2)/2
解:原式=2/(a-2)+(a-2)^2÷(a-2)/(a+1)
=2/(a-2)+(a-2)/(a+1)
=[2(a+1)+(a-2)^2]/(a-2)(a+1)
=(2a+2+a^2-2a+4)/(a^2-a-2)
=(a^2+6)/(a^2-a-2)
=(9+2✓2)/(3+2✓2-1-✓2-2)
=9...
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解:原式=2/(a-2)+(a-2)^2÷(a-2)/(a+1)
=2/(a-2)+(a-2)/(a+1)
=[2(a+1)+(a-2)^2]/(a-2)(a+1)
=(2a+2+a^2-2a+4)/(a^2-a-2)
=(a^2+6)/(a^2-a-2)
=(9+2✓2)/(3+2✓2-1-✓2-2)
=9✓2/2+2
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