名校
1 . 双曲线
绕坐标原点
旋转适当角度可以成为函数
的图象,关于此函数
有如下四个命题:①
是奇函数;②
的图象过点
或
;③
的值域是
;④ 函数
有两个零点;则其中所有真命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8694b01766045ec92313890641583d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e95e4e9c5359284f48aa7c13cfd430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c0cbcd497dadbe8a35da43b9017b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e409849c921f4868c5a78abffb9f74bb.png)
您最近一年使用:0次
2020-01-16更新
|
548次组卷
|
6卷引用:重难点06 解析几何-2021年高考数学【热点·重点·难点】专练(上海专用)
(已下线)重难点06 解析几何-2021年高考数学【热点·重点·难点】专练(上海专用)2018年上海市普陀区高三一模数学试题上海市奉城高级中学2019-2020学年高二上学期期末数学试题(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)(已下线)专题19 圆锥曲线 (模拟练)-1上海市格致中学2022-2023学年高二下学期第二次测试数学试题
2021·全国·模拟预测
解题方法
2 . 已知双曲线
的左、右焦点分别为
,
,
,
是双曲线上关于原点对称的两点,且
.若
,则四边形
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d425a7131017df2ef6eb55cc7070caf.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5daf1dc7644bd135f5880e8c909581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102cebe878145cd0e551f4cb72c726ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfffd420523729074995e9e55f464d4c.png)
您最近一年使用:0次
2021-05-23更新
|
361次组卷
|
3卷引用:普通高等学校招生全国统一考试 数学押题卷(三)
名校
解题方法
3 . 如图所示,已知双曲线
:
(
,
)的右焦点为
,双曲线
的右支上一点
,它关于原点
的对称点 为
,满足
,且
,则双曲线
的渐近线方程是______ .
![](https://img.xkw.com/dksih/QBM/2020/8/16/2528948534247424/2529122666340352/STEM/4b3aa96cc8594777a004c4087aa01d72.png?resizew=286)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243a9ae75886b75c37f88a0ba655fa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1584b2113456692cd84ef04aceba3ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2020/8/16/2528948534247424/2529122666340352/STEM/4b3aa96cc8594777a004c4087aa01d72.png?resizew=286)
您最近一年使用:0次
2020-08-16更新
|
496次组卷
|
3卷引用:3.2 双曲线-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)
(已下线)3.2 双曲线-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)浙江省宁波四中2019-2020学年高二上学期期中数学试题福建省莆田第二中学2020-2021学年高二12月月考数学试题
4 . 双曲线
的离心率为
,点
,
是双曲线上关于原点对称的两点,点
是双曲线上异于点
,
的动点,若直线
,
的斜率都存在且分别为
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8f7e40ba386c0a9675896b52752d6.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/ac047e91852b91af639feec23a9598b2.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/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
您最近一年使用:0次
名校
5 . 设
是双曲线
上在第一象限内的点,
为其右焦点,点
关于原点
的对称点为
,若
,设
,且
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93689ff4b99182a5d30bb9383536bda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca7b095b5f58ecb37d89f445a04fa20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9681826ee007722ef4ca01f9bcbbf4ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
您最近一年使用:0次
6 . 已知双曲线
的左、右焦点分别为
、
,过点
作直线交双曲线
于点
、
,连接
(
为坐标原点)并延长交双曲线
于点
.若
,且
,则四边形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3adad5b3d73c575834906e046ed8155f.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ccaabda239cfee0b52094abf65d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67715090ca4c9bd1224f7447ae8d9530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6f2174d03957653036e2962b38a2f2.png)
您最近一年使用:0次
2020-12-02更新
|
441次组卷
|
3卷引用:专题11 圆锥曲线-2021年高考冲刺之二轮专题精讲精析
(已下线)专题11 圆锥曲线-2021年高考冲刺之二轮专题精讲精析河南省豫南九校2020-2021学年第一学期高二第三次联考(11月)理数试题豫南九校2022-2023学年高二上学期第三次联考数(理)试题
名校
7 . 已知圆
与双曲线
的两条渐近线相交于
,
,
,
四点,若四边形
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe294e939b9fb81256d7218a773b5ee.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
您最近一年使用:0次
解题方法
8 . 设P是双曲线Γ:
上任意一点,Q与P关于x轴对称,F1、F2分别为双曲线的左、右焦点,若有
,则
与
夹角的余弦值的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c477e5ade921ffa8377c4719319380ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fc115483221927df1f45c5ce0dac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8b8bc7e147cae2bab03ba01f14c0aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbe39f4373239a75754820b96c3d52b.png)
您最近一年使用:0次
解题方法
9 . 已知双曲线
:
的左焦点为
,过
的直线与双曲线的渐近线交于
、
两点,以
为直径的圆过坐标原点,则双曲线的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次