1 . (1)团队在
点西侧、东侧20千米处设有
、
两站点,测量距离发现一点
满足
千米,可知
在
、
为焦点的双曲线上,以
点为原点,东侧为
轴正半轴,北侧为
轴正半轴,建立平面直角坐标系,
在北偏东60°处,求双曲线标准方程和
点坐标.
(2)团队又在南侧、北侧15千米处设有
、
两站点,测量距离发现
千米,
千米,求
(精确到1米)和
点位置(精确到1米,1°)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8db9ba11fe26ab000aab52137cc4ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)团队又在南侧、北侧15千米处设有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41635dc5a2ab2e8162468d19ec3ea4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d56b90329f65272047afc4c53cad32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb4cc09156a1234c822974433c7c66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2021-01-25更新
|
276次组卷
|
6卷引用:上海市春季2021届高三高考数学试题
上海市春季2021届高三高考数学试题(已下线)专题3.9 直线与双曲线的位置关系-重难点题型精讲-2021-2022学年高二数学举一反三系列(人教A版2019选择性必修第一册)沪教版(2020) 选修第一册 新课改一课一练 期中测试B(已下线)第14讲 双曲线-3(已下线)第14讲 双曲线-2(已下线)专题12平面解析几何必考题型分类训练-1
名校
2 . 已知双曲线
:
的左、右焦点分别是
、
,左、右两顶点分别是
、
,弦AB和CD所在直线分别平行于x轴与y轴,线段BA的延长线与线段CD相交于点
如图).
⑴若
是
的一条渐近线的一个方向向量,试求
的两渐近线的夹角
;
⑵若
,
,
,
,试求双曲线
的方程;
⑶在⑴的条件下,且
,点C与双曲线的顶点不重合,直线
和直线
与直线l:
分别相交于点M和N,试问:以线段MN为直径的圆是否恒经过定点?若是,请求出定点的坐标;若不是,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ac58049f0de1685e23303e188a2454.png)
⑴若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ba610d7113c9e47891410e85ee036b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
⑵若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0ace693aa9871000cceea36255fe0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103afc14e2e5ee7e3cc468a1fa244bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3af9f07f05cb3d11c2c90e0f926085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6807ed3b7a30b1dea188db9437fa7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
⑶在⑴的条件下,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9b5fcd40f3d5e3ec02a081d728a8ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae3a47e231dcbb00667109b40722bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/c31461ed-8054-49ed-a54e-a87e839bbdbb.png?resizew=240)
您最近一年使用:0次
2019-01-16更新
|
598次组卷
|
5卷引用:上海市浦东新区2019届高三一模数学试题
上海市浦东新区2019届高三一模数学试题上海市浦东新区2018-2019学年高三上学期期末数学试题上海市华东师范大学第三附属中学2019-2020学年高二上学期12月月考数学试题苏教版(2019) 选修第一册 一蹴而就 第3章 习题课一(已下线)课时37 双曲线-2022年高考数学一轮复习小题多维练(上海专用)