解:设S=1+2+22+23+24+…+22012+22013,将等式两边同时乘以2得:
2S=2+22+23+24+25+…+22013+22014
将下式减去上式得2S﹣S=22014﹣1
即S=22014﹣1
即1+2+22+23+24+…+22013=22014﹣1
仿照此法计算:1+2+22+23+…+2100.
将等式两边同时乘以2得:2S=2+22+23+24+…+210+2101,
将下式减去上式得:2S﹣S=2101﹣1,即S=2101﹣1,
则1+2+22+2
如图所示,⊙M与x轴相交于点A(2,0),B(8,0),与y轴相切于点C,则圆心M的坐标是____ .
The hospital is ____ ____ from my house.