名校
解题方法
1 . 已知
为坐标原点,若双曲线
的右支上存在两点
,
,使得
,则
的离心率的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.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/82e0938b60d9e3f160b5e6b17187056c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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7日内更新
|
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4卷引用:山西省临汾市部分学校2023-2024学年高二下学期5月质量检测数学试题
山西省临汾市部分学校2023-2024学年高二下学期5月质量检测数学试题河南省部分重点高中(金科未来)2023-2024学年高二下学期5月大联考数学试题河南省部分重点高中2023-2024学年高二下学期5月质量检测数学试题(已下线)湖南省岳阳市第一中学等多校2023-2024学年高二下学期5月月考数学试题
解题方法
2 . 设
是双曲线
的左、右焦点,点A是双曲线C右支上一点,若
的内切圆M的半径为a(M为圆心),且
,使得
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f98254a6193566587a70c7d95fdabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c29bab2a74ca02d30e0deed068b042f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f1aa3b0edcdba0073e2b8f1b141817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7853aa81790c329227d3c9cc4beb1bd8.png)
A.![]() | B.![]() | C.2 | D.![]() |
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|
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5卷引用:山西省部分学校2023-2024学年高二下学期5月质量检测数学试题
山西省部分学校2023-2024学年高二下学期5月质量检测数学试题辽宁省大连市2024届高三下学期第一次模拟考试数学试卷(已下线)数学(新高考卷03,新题型结构)(已下线)第1题 双曲线的离心率问题(5月)(压轴小题)(已下线)【讲】 专题三 平面向量与其他知识的交汇问题(压轴大全)
名校
解题方法
3 . 已知斜率为3的直线l与双曲线C:
交于A,B两点,直线l与直线
交于点P(不与原点重合),且P恰好是AB的中点,则C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-05更新
|
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2卷引用:山西省太原市尖草坪区第一中学校2023-2024学年高二下学期3月质量监测数学试题
2024高三·全国·专题练习
名校
解题方法
4 . 已知双曲线E:
-
=1(a>0,b>0)的左、右焦点分别为F1,F2,点M在双曲线E上,△F1MF2为直角三角形,O为坐标原点,作ON⊥MF1,垂足为N.若2
,则双曲线E的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7355be4fcbc3130a5951364a3be76d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5268413295580cfda0755ab458b36b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4c8e598c552e21a9f49754d917989a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
为双曲线
的左、右焦点,
为平面上一点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef0bbcebb99f9c5a5b94994c98d64b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce67f2138e7295cd72d66b2908cb6de.png)
A.当![]() ![]() ![]() |
B.当点![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() ![]() ![]() |
D.当点![]() ![]() ![]() ![]() ![]() ![]() |
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|
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3卷引用:山西省2023-2024学年高二上学期1月期末质量检测数学试题
解题方法
6 . 已知双曲线
的左,右焦点分别为
,直线
与双曲线
在第一、三象限分别交于点
,
为坐标原点.有下列结论:
①四边形
是平行四边形;
②若
轴,垂足为
,则直线
的斜率为
;
③若
,则四边形
的面积为
;
④若△
为正三角形,则双曲线
的离心率为
.其中正确命题的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85496d18c08287f8b09bfbf0a8c30d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9772b3a117674e43222976a5dc816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60786e206a7dcea8a21b71c24e300364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
①四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfffd420523729074995e9e55f464d4c.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8178c63d125ee6235feeb2fc70d02745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7500ce8bce3d902c25c224de4c44bd7.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633e1aaddc2df91226207bfdf417d9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfffd420523729074995e9e55f464d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a881309775c3b6a9f4ed408838666342.png)
④若△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b208a3046781ec7ac9dfffb2fa72ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ddf2ae04265e2cbf674ab40bba45c7.png)
您最近一年使用:0次
解题方法
7 . 已知
为坐标原点,双曲线
:
(
,
)的左、右焦点分别为
,
,离心率为
,
为双曲线
上一点,
平分
,且
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8f7e40ba386c0a9675896b52752d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22a3c7e465a61e9849dd223261be47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee06b900fb34f246b0b310a3127fb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f1431ccaf43d79e0ba0ab90363c5d7.png)
A.双曲线![]() ![]() | B.![]() |
C.双曲线![]() ![]() | D.点![]() ![]() |
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8 . 若椭圆
的离心率和双曲线
的离心率恰好是关于
的方程
的两个实根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5707186257494f1fea86066f2778b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知椭圆
的左、右焦点分别为
,离心率为
,椭圆
的上顶点为
,且
,双曲线
和椭圆
有相同的焦点,且双曲线
的离心率为
,
为
与
的一个公共点.若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d6ff679f919710092a032c2e9f818a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35b148c043ddff87cc37c8891138187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6681ba848304fe48791781a6d36cd3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7285470bf401f5edaac641234ee6ff6a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-27更新
|
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|
2卷引用:山西省朔州市怀仁市第一中学校2023-2024学年高二上学期1月期末数学试题
名校
解题方法
10 . 已知双曲线C:
经过点
,并且它的一条渐近线被圆
所截得的弦长为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2ebc64a924dcf7c9d5891c37c92c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6162d124d26e63811a361ff63e127f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
A.![]() ![]() |
B.C的渐近线为![]() |
C.![]() ![]() |
D.直线![]() ![]() |
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2024-01-26更新
|
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2卷引用:山西省朔州市怀仁一中2023-2024学年高二下学期3月月考数学试题