若M={x|x=i n ，n∈Z}，N={x| ＞-1}(其中i为虚数单位)，则M∩(C R N)= [ ] A．{-1...

\u82e5M={x|x=i n \uff0cn\u2208Z}\uff0cN={x| 1 x \uff1e-1}\uff08\u5176\u4e2di\u4e3a\u865a\u6570\u5355\u4f4d\uff09\uff0c\u5219M\u2229\uff08C R N\uff09=\uff08\u3000\u3000\uff09 A

\u4f9d\u9898\u610fM={1\uff0c-1\uff0ci\uff0c-i}\uff0cN={x|x\uff1e0\u6216x\uff1c-1}\uff0c\u6240\u4ee5C R N={x|-1\u2264x\u22640}\uff0c\u6545M\u2229\uff08C R N\uff09={-1}\uff0e\u6545\u9009B

M={y|y=|cos²x-sin²x|\uff0cx\u2208R}={y|y=|cos2x|\uff0cx\u2208R}={y|0\u2264y\u22641\uff0cy\u2208R}=[0\uff0c1]\uff1b
N={x||(x-1)/i|\uff1c\u221a2\uff0cx\u2208R}={x||(1-x)i|<\u221a2\uff0cx\u2208R}={x|0\u2264(1-x)²<2\uff0cx\u2208R}={x|-1<x<3\uff0cx\u2208R}=(-1\uff0c3)
\u90a3\u4e48M\u2229N=[0\uff0c1]

\u5bf9\u4e86\uff0c\u4f60\u7684\u201cx-1/i\u201d\u662f\u4ec0\u4e48\u610f\u601d\uff1f\u5230\u5e95\u662f(x-1)/i\uff0c\u8fd8\u662fx-(1/i)\u554a\uff1f

B

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