与双曲线x²/9-y²=1共渐近线且经过点M(3,-2)的双曲线方程是
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![与双曲线x²/9-y²=1共渐近线且经过点M(3,-2)的双曲线方程是](/uploads/image/z/1630873-1-3.jpg?t=%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BFx%26%23178%3B%2F9-y%26%23178%3B%3D1%E5%85%B1%E6%B8%90%E8%BF%91%E7%BA%BF%E4%B8%94%E7%BB%8F%E8%BF%87%E7%82%B9M%EF%BC%883%2C-2%EF%BC%89%E7%9A%84%E5%8F%8C%E6%9B%B2%E7%BA%BF%E6%96%B9%E7%A8%8B%E6%98%AF)
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与双曲线x²/9-y²=1共渐近线且经过点M(3,-2)的双曲线方程是
与双曲线x²/9-y²=1共渐近线且经过点M(3,-2)的双曲线方程是
与双曲线x²/9-y²=1共渐近线且经过点M(3,-2)的双曲线方程是
与双曲线x²/9-y²=1有共渐近线的双曲线方程可设为:x²/9-y²=m
把点M(3,-2)的坐标代入x²/9-y²=m得:m=-3
故所求的双曲线方程是x²/9-y²=-3,化成标准方程是:y²/3-x²/27=1