抛物线
上相异三点
,
,
的纵坐标分别为
,
,
.已知
为等腰直角三角形,且
为直角.
(1)若
,求
内切圆的圆心坐标.
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e1f7355b75ffa35680037ac95bd788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a316a2b1f46d69ed4257e37f2d97cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b22e0dc1030ca14552890174c4cc4c2.png)
更新时间:2020-12-08 21:58:15
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【知识点】 抛物线中的参数范围问题
相似题推荐
【推荐1】在平面直角坐标系中,一动圆经过点
且与直线
相切,设该动圆圆心的轨迹为曲线K,P是曲线K上一点.
(1)求曲线K的方程;
(2)过点A且斜率为k的直线l与曲线K交于B、C两点,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96968cc368104c626e7cdf658e361c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b758bc25ee77948545d492a66acf30.png)
(3)若点D、E在y轴上,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
您最近一年使用:0次
解答题-问答题
|
困难
(0.15)
【推荐2】已知点P(x,y)是平面内的动点,定点F(1,0),定直线l:x=﹣1与x轴交于点E,过点P作PQ⊥l于点Q,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
.
(1)求动点P的轨迹t的方程;
(2)过点F作两条互相垂直的直线,分别交曲线t于点A,B,和点C,D.设线段AB和线段CD的中点分别为M和N,记线段MN的中点为K,点O为坐标原点,求直线OK的斜率k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c0c4cb19422b6e1ef7a9b39fe4be52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394a8b4d38ee5d994397e1bdb053bc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa76fdc9b9ce34c8eb6b102b2dc4578b.png)
(1)求动点P的轨迹t的方程;
(2)过点F作两条互相垂直的直线,分别交曲线t于点A,B,和点C,D.设线段AB和线段CD的中点分别为M和N,记线段MN的中点为K,点O为坐标原点,求直线OK的斜率k的取值范围.
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