1 . 如图,某市决定在夹角为
的两条笔直道路边沿EB,EF之间建造一个不影响道路的半椭圆形状主题公园.已知点A在线段EB上,O为AB的中点,
千米,椭圆的短轴长
千米,OD为椭圆的长半轴.同时,在半椭圆形区域内再建造一个
游乐园,其中点
在半椭圆上,
交
于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/2e8739f0-ece6-4615-91e6-c634bb1c4ebf.png?resizew=157)
(1)求
的取值范围;
(2)若
游乐园面积的最大值为1平方千米,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530fc26170230fad37f98d5f7c692c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2528962739ef2ca701f0538472fdf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0978cbe449ad90a5389bf80e762b0c8d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/2e8739f0-ece6-4615-91e6-c634bb1c4ebf.png?resizew=157)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2288109e13b7dd099f8dba9bd4997c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529a9b0d2b9baa16e3f1aab8b946f270.png)
您最近一年使用:0次
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2 . 将曲线
(
)与曲线
(
)合成的曲线记作
.设
为实数,斜率为
的直线与
交于
两点,
为线段
的中点,有下列两个结论:①存在
,使得点
的轨迹总落在某个椭圆上;②存在
,使得点
的轨迹总落在某条直线上,那么( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80a47fd46072cd717442cb378d431ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdca98f051334f93de1defecc41b356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b2d0b08e09a3ca2d98bde8c2718cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0986d3184ab858e12a822937805b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.①②均正确 | B.①②均错误 |
C.①正确,②错误 | D.①错误,②正确 |
您最近一年使用:0次
2022-06-23更新
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