解题方法
1 . 已知
,
为曲线
的焦点,则下列说法正确的是( ).
![](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/9a1117b02834304c418f9acfebbff5c8.png)
A.若曲线C的离心率![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2 . 某研究性学习小组发现,由双曲线
的两渐近线所成的角可求离心率
的大小,联想到反比例函数
的图象也是双曲线,据此可进一步推断双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bd7e92dae1e0c2af6c33d5e202f544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90678a404b0c5a139c5ed8a51be1b62.png)
A.![]() | B.2 | C.![]() | D.5 |
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3 . 如图,已知椭圆
的左、右顶点分别为
,点
是椭圆上异于
的动点,过原点
平行于
的直线与椭圆交于点
的中点为点
,直线
与椭圆交于点
,点
在
轴的上方.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/12/91546a85-b08e-403d-9e44-d7d3813a04df.png?resizew=212)
(1)当
时,求
;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aaf4b4590a4e8da1005d329f183b820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397bc383a227eceb76f5f60151925e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/12/91546a85-b08e-403d-9e44-d7d3813a04df.png?resizew=212)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b8ff98fbd2376ba4214f34026b01a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5236d471ba269d068450fe89fced568f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff28555e2cf19f940bec64e7373b676.png)
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名校
4 . 如图,在四棱锥
中,
底面
,平面
平面
,四棱锥
的体积为4.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/12/3f29714c-5332-4a84-95e0-bf00b1d00bd3.png?resizew=124)
(1)求证:
;
(2)求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240f3380e46b6c6b78948c9cac8e6066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e287ab6296fdeb500fea405c2c839c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/12/3f29714c-5332-4a84-95e0-bf00b1d00bd3.png?resizew=124)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5d56d8170b764b80a672cd6c861921.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
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2023-02-10更新
|
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5卷引用:江苏省南京市、盐城市2022-2023学年高三上学期期末联考数学试题
江苏省南京市、盐城市2022-2023学年高三上学期期末联考数学试题陕西省安康中学2023届高三下学期3月质量检测理科数学试题九师联盟(山西省)2023届高三下学期3月质量检测数学试题(已下线)河南省实验中学2023-2024学年高三上学期第一次月考数学试题变式题19-22广东省深圳市红岭中学2023-2024学年高三第五次统一考试数学试题
名校
5 . “
”是“数列
为等差数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9574c7a5af952ab48ff675a2ae83e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
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2023-02-10更新
|
1738次组卷
|
5卷引用:江苏省南京市、盐城市2022-2023学年高三上学期期末联考数学试题
江苏省南京市、盐城市2022-2023学年高三上学期期末联考数学试题(已下线)专题3 等差数列的判断(证明)方法 微点4 等差数列的判断(证明)方法综合训练(已下线)4.2 等差数列(1)湖北省咸宁市崇阳县众望高中2022-2023学年高二下学期开学检测数学试题浙江省杭师大附2022-2023学年高二下学期期中数学试题
解题方法
6 . 如图,圆柱
的底面半径为1,高为2,矩形
是其轴截面,过点A的平面
与圆柱底面所成的锐二面角为
,平面
截圆柱侧面所得的曲线为椭圆
,截母线
得点
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/11/595fbe59-8f72-4a82-9f09-5ce765dc2a6d.png?resizew=111)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270ddac9587bf1ea553914cb69595ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/11/595fbe59-8f72-4a82-9f09-5ce765dc2a6d.png?resizew=111)
A.椭圆![]() |
B.![]() |
C.椭圆![]() ![]() |
D.![]() |
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7 . 已知正方体
的棱长为
,
,
,其中
,
,则下列说法中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ddcc0295e334717dff21aaa3bf0dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcedb75163ea581a8d72b4f5c24af951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e2e01346f60857ff635bb766802e57.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.存在![]() ![]() ![]() | D.存在![]() ![]() ![]() |
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解题方法
8 . 在平面直角坐标系
中,已知双曲线C:
(
,
)的左顶点为
,右焦点为F,过点F作C的一条渐近线的垂线,垂足为P,过点P作x轴的垂线,垂足为Q.若
,
,
成等差数列,则C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a84af713ec9898211637cfa1b0ef3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c9f195bc306a5ff74ad29bbd3a6ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c388f1f7160d3397610633dfde015fa0.png)
A.![]() | B.![]() | C.2 | D.![]() |
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名校
9 . 已知O为坐标原点,直线
与抛物线C:
交于A,B两点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15aab800f41f7a47bde139498e19d294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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2023-02-05更新
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299次组卷
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2卷引用:江苏省南京市六校联合体2022-2023学年高三下学期1月联考数学试题
10 . 如图在斜三棱柱
中,
,
,
,平面
平面
,E是棱
上一点,D,F分别是AC,AB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/251fd99c-d50e-46b7-bf36-d5aa95fe2a3f.png?resizew=241)
(1)当
,证明:
平面
;
(2)当
,求锐二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4f0c1c9cca0555906d8a53e1a6803d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900e00a3609e6043af1034761d4d65f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4baccc8fc1935fc88f7be136abd058f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eff0db05826cbff651faf0144904b32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/251fd99c-d50e-46b7-bf36-d5aa95fe2a3f.png?resizew=241)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1bfb3449934a7ddb35bde3409d994bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1df970d8b2fcbb38bfac1dc33da9179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926584088b939200d88e64318f2d4e6c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cedf3ce3ac3a1c3f90e88744d940fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6f1d672d4d7775a81ccf0464a8d742.png)
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