设向量m=(x,y+2),n=(x,y-2),x、y∈R,且|m|+|n|=8.(1)求满足条件的点M(x,y)的曲线C的方程;(2)设圆与曲线C相切,直线L过点(0,s)与圆交与A、B两点,并满足向量OA垂直OB,求s得取值范围(O为原点).
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![设向量m=(x,y+2),n=(x,y-2),x、y∈R,且|m|+|n|=8.(1)求满足条件的点M(x,y)的曲线C的方程;(2)设圆与曲线C相切,直线L过点(0,s)与圆交与A、B两点,并满足向量OA垂直OB,求s得取值范围(O为原点).](/uploads/image/z/14472592-16-2.jpg?t=%E8%AE%BE%E5%90%91%E9%87%8Fm%3D%28x%2Cy%2B2%29%2Cn%3D%28x%2Cy-2%29%2Cx%E3%80%81y%E2%88%88R%2C%E4%B8%94%7Cm%7C%2B%7Cn%7C%3D8.%EF%BC%881%EF%BC%89%E6%B1%82%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%E7%9A%84%E7%82%B9M%EF%BC%88x%2Cy%29%E7%9A%84%E6%9B%B2%E7%BA%BFC%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9B%EF%BC%882%EF%BC%89%E8%AE%BE%E5%9C%86%E4%B8%8E%E6%9B%B2%E7%BA%BFC%E7%9B%B8%E5%88%87%2C%E7%9B%B4%E7%BA%BFL%E8%BF%87%E7%82%B9%EF%BC%880%2Cs%EF%BC%89%E4%B8%8E%E5%9C%86%E4%BA%A4%E4%B8%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%2C%E5%B9%B6%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8FOA%E5%9E%82%E7%9B%B4OB%2C%E6%B1%82s%E5%BE%97%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%88O%E4%B8%BA%E5%8E%9F%E7%82%B9%EF%BC%89.)
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