计算星形线x=acos^3(t),y=asin^3(t)的全长?在一个坐标系画出一个棱形的图形,x轴的范围-a到a,y轴的范围是-a到a,我认为t的范围是0到pi/2,最终结果再乘以4,有谁知道12a是怎么求出来的吗?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 17:56:49
![计算星形线x=acos^3(t),y=asin^3(t)的全长?在一个坐标系画出一个棱形的图形,x轴的范围-a到a,y轴的范围是-a到a,我认为t的范围是0到pi/2,最终结果再乘以4,有谁知道12a是怎么求出来的吗?](/uploads/image/z/7248926-38-6.jpg?t=%E8%AE%A1%E7%AE%97%E6%98%9F%E5%BD%A2%E7%BA%BFx%3Dacos%5E3%28t%29%2Cy%3Dasin%5E3%28t%29%E7%9A%84%E5%85%A8%E9%95%BF%3F%E5%9C%A8%E4%B8%80%E4%B8%AA%E5%9D%90%E6%A0%87%E7%B3%BB%E7%94%BB%E5%87%BA%E4%B8%80%E4%B8%AA%E6%A3%B1%E5%BD%A2%E7%9A%84%E5%9B%BE%E5%BD%A2%2Cx%E8%BD%B4%E7%9A%84%E8%8C%83%E5%9B%B4-a%E5%88%B0a%2Cy%E8%BD%B4%E7%9A%84%E8%8C%83%E5%9B%B4%E6%98%AF-a%E5%88%B0a%2C%E6%88%91%E8%AE%A4%E4%B8%BAt%E7%9A%84%E8%8C%83%E5%9B%B4%E6%98%AF0%E5%88%B0pi%2F2%2C%E6%9C%80%E7%BB%88%E7%BB%93%E6%9E%9C%E5%86%8D%E4%B9%98%E4%BB%A54%2C%E6%9C%89%E8%B0%81%E7%9F%A5%E9%81%9312a%E6%98%AF%E6%80%8E%E4%B9%88%E6%B1%82%E5%87%BA%E6%9D%A5%E7%9A%84%E5%90%97%EF%BC%9F)
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