已知圆满足:①截 轴所得弦长为 ;②被 轴分成两段圆弧,其弧长的比为 ;③圆心到直线 : 的距离为 的圆的方程。
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/03 23:35:03
已知圆满足:①截 ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![已知圆满足:①截 轴所得弦长为 ;②被 轴分成两段圆弧,其弧长的比为 ;③圆心到直线 : 的距离为 的圆的方程。](/uploads/image/z/17975592-0-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86%E6%BB%A1%E8%B6%B3%EF%BC%9A%E2%91%A0%E6%88%AA+%E8%BD%B4%E6%89%80%E5%BE%97%E5%BC%A6%E9%95%BF%E4%B8%BA+%EF%BC%9B%E2%91%A1%E8%A2%AB+%E8%BD%B4%E5%88%86%E6%88%90%E4%B8%A4%E6%AE%B5%E5%9C%86%E5%BC%A7%EF%BC%8C%E5%85%B6%E5%BC%A7%E9%95%BF%E7%9A%84%E6%AF%94%E4%B8%BA+%EF%BC%9B%E2%91%A2%E5%9C%86%E5%BF%83%E5%88%B0%E7%9B%B4%E7%BA%BF+%EF%BC%9A+%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA+%E7%9A%84%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%E3%80%82)
![](http://img.wesiedu.com/upload/d/c5/dc558bdbfece26c38ece3e6aeb44ff89.jpg)
![](http://img.wesiedu.com/upload/b/37/b3759062932902e31c3e8faacc4699b9.jpg)
![](http://img.wesiedu.com/upload/6/e0/6e072fc48640e31bc91996a71a990fff.jpg)
试题分析:依题意,可设所求圆心为
![](http://img.wesiedu.com/upload/6/78/67838cb5de1307e764a9e8f984815c1b.jpg)
![](http://img.wesiedu.com/upload/8/8c/88c885aa7071ff64214c01f3b725b5a6.jpg)
![](http://img.wesiedu.com/upload/a/fa/afa67bb47d5cdab100626f498d928bf9.jpg)
![](http://img.wesiedu.com/upload/8/c5/8c552cc1f6e105559a7aa5b767d0530f.jpg)
![](http://img.wesiedu.com/upload/c/30/c303fd05c418a719d22fcfcbd3b697a6.jpg)
![](http://img.wesiedu.com/upload/7/e5/7e5f1b7f5ec694ce4b88b5427b667eb6.jpg)
![](http://img.wesiedu.com/upload/e/27/e270f201bf6e97ff57f6ca1f9d94cd7b.jpg)
![](http://img.wesiedu.com/upload/2/9c/29c56dda76d2485e45991ae68b0ae321.jpg)
![](http://img.wesiedu.com/upload/b/0e/b0ea6201ae3097bc19ad9e7d4c2fdd43.jpg)
![](http://img.wesiedu.com/upload/0/46/04699cb7e89d0c2e4cf8c9c032fcd545.jpg)
试题解析:设
![](http://img.wesiedu.com/upload/e/25/e250059e37c9b6d826e0875d2b5b3c4f.jpg)
当
![](http://img.wesiedu.com/upload/c/2e/c2e51918d2486317328f4b3251431564.jpg)
![](http://img.wesiedu.com/upload/2/0b/20b276f65f5f7e0452ea74a5733093c2.jpg)
![](http://img.wesiedu.com/upload/9/73/97334abc8583237b53a75fd16e5d838f.jpg)
![](http://img.wesiedu.com/upload/8/9a/89a5573ff0f04279cfcbe083a0f05e03.jpg)
∴
![](http://img.wesiedu.com/upload/c/0b/c0b2657f09bbd66a9b66aa3c3d881ca1.jpg)
![](http://img.wesiedu.com/upload/6/e7/6e735368394b8efc448194b37673d458.jpg)
∴
![](http://img.wesiedu.com/upload/4/1c/41cba63127769b4edec6181b90ffdfd4.jpg)
当
![](http://img.wesiedu.com/upload/4/0b/40bc09fe78b79fc11193c048f9325ba3.jpg)
![](http://img.wesiedu.com/upload/1/93/193d7ad61abe1155624a1044877484fb.jpg)
![](http://img.wesiedu.com/upload/1/b5/1b5bc9a859e1711b88a0740c9e385c4a.jpg)
∴
![](http://img.wesiedu.com/upload/6/75/675c3e0fe045913b61c79f64656e01c7.jpg)
![](http://img.wesiedu.com/upload/c/70/c704c7f14c691ec018ad657c4530526f.jpg)
由①、②得:
![](http://img.wesiedu.com/upload/0/13/013d322d8e131b4d45144dc4cc8073d4.jpg)
![](http://img.wesiedu.com/upload/7/16/716b742037aa0de591b5482facd68477.jpg)
![](http://img.wesiedu.com/upload/c/2d/c2d1b6599f477c56fa6b7cc057d43ee8.jpg)
![](http://img.wesiedu.com/upload/6/0c/60ca7b9c5735061f80d4735ce5bf034a.jpg)
∴
![](http://img.wesiedu.com/upload/d/03/d03919af126ca7d0437a98b244ad039b.jpg)
![](http://img.wesiedu.com/upload/f/5e/f5e217489cbdcc6fc753482fca090df6.jpg)
![](http://img.wesiedu.com/upload/b/c1/bc10733886cdce03669a104fabbf03e0.jpg)
![](http://img.wesiedu.com/upload/6/27/62759ff54d784d86eca0d12ae74972c2.jpg)
∴
![](http://img.wesiedu.com/upload/0/a8/0a8e70b0c3554152d643b1b741d5791f.jpg)
![](http://img.wesiedu.com/upload/a/7e/a7ecfc3239a9b5f2ff0e914c65c17c53.jpg)
![](http://img.wesiedu.com/upload/0/f9/0f939c25ba933b4c46dbd19230bfdfea.jpg)
![](http://img.wesiedu.com/upload/2/d0/2d0d4ff5cb3c91b3b9ccf53b783a8f50.jpg)
![](http://img.wesiedu.com/upload/1/88/188a9b0bdb0ddf8e4a5570244486e26e.jpg)
∴
![](http://img.wesiedu.com/upload/7/7e/77ecd53a9ef92ba5f90bdabc72c3c8ab.jpg)
![](http://img.wesiedu.com/upload/d/32/d32bc87e30e64c54001bbe9037bee7f5.jpg)
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已知圆满足:截y轴所得弦长为2;被x周分成两段圆弧,其弧长之比为3:1;圆心到直线x-2y=0的距离为根号5/5
已知圆满足:①截y轴所得的弦长为2;②被x轴分成两段圆弧,其弧长的比为3:1;③圆心到直线l:x-2y=0的距离为55
已知圆满足:①截y轴所得弦长为2;②被x轴分成两段圆弧,其弧长的比为3:1;③圆心到直线l:x-2y=0的距离为55.求
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已知圆满足:①截y轴所得弦长为2; ②被x轴分成两段圆弧,其弧长的比为3:1; ③圆心到直线L:x-2y=0的距离为√5
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已知圆满足:截y轴所得弦长为2;被x周分成两段圆弧,其弧长之比为3:1;圆心到直线x-2y=0的距离为根号5/5.求该圆
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