2018-10-10 18:03:03 -04:00
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---
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id: 5900f4621000cf542c50ff75
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2020-12-16 00:37:30 -07:00
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title: 问题246:切线到椭圆
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: problem-246-tangents-to-an-ellipse
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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椭圆的定义是:给定一个圆心c,其中心为M,半径为r,点G为d(G,M)
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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椭圆点的构造如下所示。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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给定的是M(-2000,1500)和G(8000,1500)。给定也是具有中心M和半径15000的圆c。与G和c等距的点的轨迹形成椭圆e。从外部的点P开始,绘制两个切线t1和t2到椭圆。让t1和t2接触椭圆的点为R和S.
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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对于多少格点P,角度RPS是否大于45度?
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`euler246()`应该返回810834388。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler246(), 810834388);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler246() {
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return true;
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}
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euler246();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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