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/etc/nginx/nginx.conf.已知实数a满足a2+2a-15=0,求-2-1÷2-2a+1的值.
蒋蛋疼有多疼40
-2-1÷2-2a+1=-o2(a+1)(a+2)=-2=2,∵a2+2a-15=0,∴(a+1)2=16,∴原式==.
为您推荐:
其他类似问题
先把要求的式子进行计算,先进行因式分解,再把除法转化成乘法,然后进行约分,得到一个最简分式,最后把a2+2a-15=0进行配方,得到一个a+1的值,再把它整体代入即可求出答案.
本题考点:
分式的化简求值.
考点点评:
此题考查了分式的化简求值,关键是掌握分式化简的步骤,先进行通分,再因式分解,然后把除法转化成乘法,最后约分;化简求值题要将原式化为最简后再代值.
解a²+2a-15=0a²+2a=15原式=1/(a+1)-(a+2)/(a-1)(a+1)×(a-1)²/(a+1)(a+2)=1/(a+1)-(a-1)/(a+1)²=(a+1)/(a+1)²-(a-1)/(a+1)²=(a+1-a+1)/(a+1)²=2/(a²+2a+1)=2/(15+1)=1/8
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