135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x- 1 i |<135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x-1i|<2,i为虚数单位,x∈R},则M∩N为( )A、(0,1)\x05B、(0,1]C、[0,1)\x05D、[0,1]
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![135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x- 1 i |<135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x-1i|<2,i为虚数单位,x∈R},则M∩N为( )A、(0,1)\x05B、(0,1]C、[0,1)\x05D、[0,1]](/uploads/image/z/8497582-70-2.jpg?t=135%EF%BC%8E%E8%AE%BE%E9%9B%86%E5%90%88M%3D%7By%7Cy%3D%7Ccos2x-sin2x%7C%2Cx%E2%88%88R%7D%2CN%3D%7Bx%7C%7Cx-+1+i+%7C%EF%BC%9C135%EF%BC%8E%E8%AE%BE%E9%9B%86%E5%90%88M%3D%7By%7Cy%3D%7Ccos2x-sin2x%7C%2Cx%E2%88%88R%7D%2CN%3D%7Bx%7C%7Cx-1i%7C%EF%BC%9C2%2Ci%E4%B8%BA%E8%99%9A%E6%95%B0%E5%8D%95%E4%BD%8D%2Cx%E2%88%88R%7D%2C%E5%88%99M%E2%88%A9N%E4%B8%BA%EF%BC%88%E3%80%80%E3%80%80%EF%BC%89A%E3%80%81%EF%BC%880%2C1%EF%BC%89%5Cx05B%E3%80%81%EF%BC%880%2C1%5DC%E3%80%81%5B0%2C1%EF%BC%89%5Cx05D%E3%80%81%5B0%2C1%5D)
135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x- 1 i |<135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x-1i|<2,i为虚数单位,x∈R},则M∩N为( )A、(0,1)\x05B、(0,1]C、[0,1)\x05D、[0,1]
135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x- 1 i |<
135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x-
1
i
|<
2
,i为虚数单位,x∈R},则M∩N为( )
A、(0,1)\x05B、(0,1]
C、[0,1)\x05D、[0,1]
135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x- 1 i |<135.设集合M={y|y=|cos2x-sin2x|,x∈R},N={x||x-1i|<2,i为虚数单位,x∈R},则M∩N为( )A、(0,1)\x05B、(0,1]C、[0,1)\x05D、[0,1]
∵M={y|y=|cos2x-sin2x|}={y|y=|cos2x|}={y|0≤y≤1}
N={x||x+i|<
2
}={x|x2+1<2}={x|-1<x<1}
∴M∩N={x|0≤x<1}
故选C