平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},求点P在平面上所组成图形的面积是多少已知平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},则满足条件的点P在平面上所组成图形的面积是多少?
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![平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},求点P在平面上所组成图形的面积是多少已知平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},则满足条件的点P在平面上所组成图形的面积是多少?](/uploads/image/z/12381937-25-7.jpg?t=%E5%B9%B3%E9%9D%A2%E4%B8%8A%E7%82%B9P%E2%88%88%7B%28x+%2Cy%29%7C%28x-2cos%CE%B1%29%5E2%2B%28y-sin%CE%B1%29%5E2%3D16%28%CE%B1%E2%88%88R%29%7D%2C%E6%B1%82%E7%82%B9P%E5%9C%A8%E5%B9%B3%E9%9D%A2%E4%B8%8A%E6%89%80%E7%BB%84%E6%88%90%E5%9B%BE%E5%BD%A2%E7%9A%84%E9%9D%A2%E7%A7%AF%E6%98%AF%E5%A4%9A%E5%B0%91%E5%B7%B2%E7%9F%A5%E5%B9%B3%E9%9D%A2%E4%B8%8A%E7%82%B9P%E2%88%88%7B%28x+%2Cy%29%7C%28x-2cos%CE%B1%29%5E2%2B%28y-sin%CE%B1%29%5E2%3D16%28%CE%B1%E2%88%88R%29%7D%2C%E5%88%99%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%E7%9A%84%E7%82%B9P%E5%9C%A8%E5%B9%B3%E9%9D%A2%E4%B8%8A%E6%89%80%E7%BB%84%E6%88%90%E5%9B%BE%E5%BD%A2%E7%9A%84%E9%9D%A2%E7%A7%AF%E6%98%AF%E5%A4%9A%E5%B0%91%3F)
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平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},求点P在平面上所组成图形的面积是多少已知平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},则满足条件的点P在平面上所组成图形的面积是多少?
平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},求点P在平面上所组成图形的面积是多少
已知平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},则满足条件的点P在平面上所组成图形的面积是多少?)
平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},求点P在平面上所组成图形的面积是多少已知平面上点P∈{(x ,y)|(x-2cosα)^2+(y-sinα)^2=16(α∈R)},则满足条件的点P在平面上所组成图形的面积是多少?
先画2cosα与2sinα构成的圆x^2+y^2=4,然后以这个圆上的点为顶点,作半径为4的圆,即x^2+y^2=(2+4)^2=36,所以面积为大圆面积减去小圆面积,即36π-4π=32π