高考题.......若X1满足2X+2的x次方=5,x2满足2X+2log2 (X-1)=5.则X1+X2等于?

日期:2020-03-12 21:51:50 人气:1

高考题.......若X1满足2X+2的x次方=5,x2满足2X+2log2 (X-1)=5.则X1+X2等于?

2X+2的X次方=5,即2的(X-1)次方=2.5-X,log2(x-1)=2.5-X, 在坐标系中同时作出函数:Y=log2(x-1),Y=2.5-X,Y=2^(x-1) 设其交点坐标分别为(X1,2.5-X1),(X2,2.5-X2)由函数图像对称性可得:X1=2.5-X2,即X1+X2=2.5
    A+
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