已知抛物线y=x²+kx-3/4k²(k为常数,且k>0)(1)证明此抛物线与x轴总有两个交点.(2)设抛M,N两点,若这两点到原点的距离分别为OM,ON,且1/ON-1/OM=2/3,求k的值.过程主要在第二问,最好用上两
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![已知抛物线y=x²+kx-3/4k²(k为常数,且k>0)(1)证明此抛物线与x轴总有两个交点.(2)设抛M,N两点,若这两点到原点的距离分别为OM,ON,且1/ON-1/OM=2/3,求k的值.过程主要在第二问,最好用上两](/uploads/image/z/3162232-64-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFy%3Dx%26sup2%3B%2Bkx-3%2F4k%26sup2%3B%EF%BC%88k%E4%B8%BA%E5%B8%B8%E6%95%B0%2C%E4%B8%94k%EF%BC%9E0%EF%BC%89%EF%BC%881%EF%BC%89%E8%AF%81%E6%98%8E%E6%AD%A4%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8Ex%E8%BD%B4%E6%80%BB%E6%9C%89%E4%B8%A4%E4%B8%AA%E4%BA%A4%E7%82%B9.%EF%BC%882%EF%BC%89%E8%AE%BE%E6%8A%9BM%2CN%E4%B8%A4%E7%82%B9%2C%E8%8B%A5%E8%BF%99%E4%B8%A4%E7%82%B9%E5%88%B0%E5%8E%9F%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E5%88%86%E5%88%AB%E4%B8%BAOM%2CON%2C%E4%B8%941%2FON-1%2FOM%3D2%2F3%2C%E6%B1%82k%E7%9A%84%E5%80%BC.%E8%BF%87%E7%A8%8B%E4%B8%BB%E8%A6%81%E5%9C%A8%E7%AC%AC%E4%BA%8C%E9%97%AE%2C%E6%9C%80%E5%A5%BD%E7%94%A8%E4%B8%8A%E4%B8%A4)
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