名校
解题方法
1 . 已知双曲线
的左、右焦点分别为
,双曲线的右支上有一点
与双曲线的左支交于
,线段
的中点为
,且满足
,若
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cee0e5504a79c5fc559e9d927c0e0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfb199276c83967e6a2a5c1b1a5cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a62cd39019b41b4bc2e7df87844868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-29更新
|
746次组卷
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2卷引用:广东省东莞市东华高级中学 东华松山湖高级中学2024届高三下学期第三次模拟考试数学试题
2 . 设
,
是双曲线
的左、右焦点,
是
上的一点,若
的一条渐近线的倾斜角为
,且
,则
的焦距等于( )
![](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/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d9a1a93e47dc1e50ba2779ef480724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fea2227147641b0ce513d419a02309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.1 | B.![]() | C.2 | D.4 |
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2024-03-14更新
|
837次组卷
|
3卷引用:广东省东莞市东华高级中学、东华松山湖高级中学2023-2024学年高一下学期期中教学质量检查(二)数学试题
解题方法
3 . 已知双曲线
(
,
)的左,右焦点分别为
,
,且该双曲线与圆
在第二象限的交点为点P,若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.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/833bf16f0161259e9d973dbdd5c6b18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9da42cb43495b7c99c46b3fd381bd95.png)
A.![]() | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 双曲线C:
(
,
)的渐近线方程为
,则其离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95b60de1f6993edd7275bcf8b9527dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
您最近一年使用:0次
名校
5 . 双曲线
(
)的离心率是
,则实数
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e868b934e7c4e1a56b859ec58c244d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa585b9257ed0798213a9ae9b87d291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.12 | B.16 | C.20 | D.24 |
您最近一年使用:0次
名校
6 . 已知双曲线C的方程为:
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff493a749b18a6e80c6763e1d276e85d.png)
A.实轴长为6 | B.渐近线方程为![]() |
C.顶点坐标为![]() ![]() | D.焦距为![]() |
您最近一年使用:0次
2023-12-10更新
|
356次组卷
|
2卷引用:广东省东莞市第十高级中学2023-2024学年高二上学期12月期中考试数学试题
7 . 设
、
是两定点,
,动点P满足
,则动点P的轨迹是( )
![](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/f4428ec56246b35cb87bfe7ed50f0ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450f820d4598d103c374bee7d2690579.png)
A.双曲线 | B.双曲线的一支 | C.一条射线 | D.轨迹不存在 |
您最近一年使用:0次
名校
解题方法
8 . 已知双曲线
,下列对双曲线
判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0017262e45089093f70001cae2c60257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.实轴长是虚轴长的2倍 | B.焦距为4 |
C.离心率为![]() | D.渐近线方程为![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知双曲线
的渐近线方程为
,且点
在该双曲线上.
(1)求双曲线
方程;
(2)若点
,
分别是双曲线
的左、右焦点,且双曲线
上一点
满足
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3051f43ac48c0a730a791b8a93ad37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c70fe4523e4d2484c9fc80e9e5fbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
您最近一年使用:0次
2023-12-02更新
|
1986次组卷
|
7卷引用:广东省东莞市七校2023-2024学年高二上学期期中联考数学试题
广东省东莞市七校2023-2024学年高二上学期期中联考数学试题广东省惠州市仲恺高新区华实高级中学2023-2024学年高二上学期12月月考数学试题福建省莆田市哲理中学2023-2024学年高二上学期综合训练二数学试题海南省琼海市海桂中学2023-2024学年高二上学期12月教学检测数学试题(三)四川省达州市达川区铭仁园学校2023-2024学年高二上学期第四次月考数学试题(已下线)高二数学开学摸底考02(北师大版,范围:选择性必修第一册全部)-2023-2024学年高二数学下学期开学摸底考试卷广西壮族自治区百色市平果市铝城中学2023-2024学年高二下学期开学考试数学试卷
名校
10 . 已知双曲线
,则下列关于双曲线
的结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de66df5b4cd1344339588b99bf7214a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.实轴长为6 | B.焦距为5 |
C.离心率为![]() | D.焦点到渐近线的距离为4 |
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2023-12-02更新
|
454次组卷
|
3卷引用:广东省东莞市七校2023-2024学年高二上学期期中联考数学试题