已知y1=a1x2+b1x+c1,y2=a2x2+b2x+c2,且满足a1/a2=b1/b2=c1/c2=k(k≠0,1),则称抛物线y1,y2互为友好抛物线如果y2与x轴的两交点间距离为d,则y1与x轴的两交点间距离为|k|d。这个结论对吗,为什么,
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/13 23:59:06
![已知y1=a1x2+b1x+c1,y2=a2x2+b2x+c2,且满足a1/a2=b1/b2=c1/c2=k(k≠0,1),则称抛物线y1,y2互为友好抛物线如果y2与x轴的两交点间距离为d,则y1与x轴的两交点间距离为|k|d。这个结论对吗,为什么,](/uploads/image/z/5920493-5-3.jpg?t=%E5%B7%B2%E7%9F%A5y1%3Da1x2%2Bb1x%2Bc1%2Cy2%3Da2x2%2Bb2x%2Bc2%2C%E4%B8%94%E6%BB%A1%E8%B6%B3a1%2Fa2%3Db1%2Fb2%3Dc1%2Fc2%3Dk%28k%E2%89%A00%2C1%29%2C%E5%88%99%E7%A7%B0%E6%8A%9B%E7%89%A9%E7%BA%BFy1%2Cy2%E4%BA%92%E4%B8%BA%E5%8F%8B%E5%A5%BD%E6%8A%9B%E7%89%A9%E7%BA%BF%E5%A6%82%E6%9E%9Cy2%E4%B8%8Ex%E8%BD%B4%E7%9A%84%E4%B8%A4%E4%BA%A4%E7%82%B9%E9%97%B4%E8%B7%9D%E7%A6%BB%E4%B8%BAd%EF%BC%8C%E5%88%99y1%E4%B8%8Ex%E8%BD%B4%E7%9A%84%E4%B8%A4%E4%BA%A4%E7%82%B9%E9%97%B4%E8%B7%9D%E7%A6%BB%E4%B8%BA%7Ck%7Cd%E3%80%82%E8%BF%99%E4%B8%AA%E7%BB%93%E8%AE%BA%E5%AF%B9%E5%90%97%EF%BC%8C%E4%B8%BA%E4%BB%80%E4%B9%88%EF%BC%8C)
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