求解高一数学直线与圆的问题:已知方程x²+y²-2x-4y+m=0.已知方程x²+y²-2x-4y+m=0.(1)若此方程表示圆,求m的取值范围;(2)若(1)中的圆与直线x+2y-4=0相交于M,N两点,且OM⊥ON(O为坐
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![求解高一数学直线与圆的问题:已知方程x²+y²-2x-4y+m=0.已知方程x²+y²-2x-4y+m=0.(1)若此方程表示圆,求m的取值范围;(2)若(1)中的圆与直线x+2y-4=0相交于M,N两点,且OM⊥ON(O为坐](/uploads/image/z/701935-7-5.jpg?t=%E6%B1%82%E8%A7%A3%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%E7%9B%B4%E7%BA%BF%E4%B8%8E%E5%9C%86%E7%9A%84%E9%97%AE%E9%A2%98%EF%BC%9A%E5%B7%B2%E7%9F%A5%E6%96%B9%E7%A8%8Bx%26%23178%3B%2By%26%23178%3B-2x-4y%2Bm%3D0.%E5%B7%B2%E7%9F%A5%E6%96%B9%E7%A8%8Bx%26%23178%3B%2By%26%23178%3B-2x-4y%2Bm%3D0.%281%EF%BC%89%E8%8B%A5%E6%AD%A4%E6%96%B9%E7%A8%8B%E8%A1%A8%E7%A4%BA%E5%9C%86%2C%E6%B1%82m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5%EF%BC%881%EF%BC%89%E4%B8%AD%E7%9A%84%E5%9C%86%E4%B8%8E%E7%9B%B4%E7%BA%BFx%2B2y-4%3D0%E7%9B%B8%E4%BA%A4%E4%BA%8EM%2CN%E4%B8%A4%E7%82%B9%2C%E4%B8%94OM%E2%8A%A5ON%EF%BC%88O%E4%B8%BA%E5%9D%90)
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