1 . 实数m变化时,方程
表示的曲线不可以 是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c10e5a96b753a829e9bfeef48ec9925.png)
A.直线 | B.圆 |
C.椭圆 | D.双曲线 |
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3卷引用:重庆市主城区六校2021-2022学年高二上学期期末联考数学试题
重庆市主城区六校2021-2022学年高二上学期期末联考数学试题河南省开封市立洋外国语学校2022-2023学年高二上学期第二次月考数学试题(已下线)专题3.17 圆锥曲线的方程全章综合测试卷-基础篇-2022-2023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)
2 . 已知直线
的一个方向向量为
,则直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b01322ae08e6d65e79af3610eeac9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 四棱锥
中,
平面
,四边形
为平行四边形,
.
![](https://img.xkw.com/dksih/QBM/2022/3/24/2943276202401792/2944007450034176/STEM/d24e1a3be34d4bbea89c75c127e93ff3.png?resizew=183)
(1)若
为
中点,求证
平面
;
(2)若
,求面
与面
的夹角的余弦值.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b929269c53a44907dba8ee298a0a522.png)
![](https://img.xkw.com/dksih/QBM/2022/3/24/2943276202401792/2944007450034176/STEM/d24e1a3be34d4bbea89c75c127e93ff3.png?resizew=183)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0492b25f10ae45c39f8e9838519259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745df4f226027778d5fe45b6501b822.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8babfafd7bf8c6cccef28aaa814932d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b60870baa5e3fbc33a749aa5f0a94be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
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2卷引用:重庆市主城区六校2021-2022学年高二上学期期末联考数学试题
4 . 中国古代数学著作
算法统宗
中有这样一个问题:“三百七十八里关,初步健步不为难,次日脚痛减一半,六朝才得到其关,要见首日行里数,请公仔细算相还.”其大意为:有一个人走
里路,第一天健步行走,从第二天起脚痛每天走的路程为前一天的一半,恰好走了
天到达目的地,则该人第一天走的路程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b0e787c1d82071c825975348698f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461950348087cdb06ec28d7569d14c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17413beabd43f24976bc49947f9a9aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 已知椭圆
,四点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7005eb7e461470dc3a1209060d9999.png)
中,恰有三点在椭圆
上.
(1)求椭圆
的方程;
(2)设直线
不经过
点,且与椭圆
相交于不同的两点
.若直线
与直线
的斜率之和为
,证明:直线
过一定点,并求此定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b0dadb875cccce870b69409a476606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7005eb7e461470dc3a1209060d9999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2366e89f33b0a336ee7408fd60d286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.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/d3de68627f7f3d7f81b61bf743f311ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9019a986b3ba5fcefced99c566b5329c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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重庆市主城区六校2021-2022学年高二上学期期末联考数学试题(已下线)高二上学期期末【压轴60题考点专练】(选修一+选修二)-2022-2023学年高二数学考试满分全攻略(人教A版2019选修第一册)重庆市万州第二高级中学2023届高三上学期2月月考数学试题重庆市万州第二高级中学2023届高三下学期2月月考数学试题四川省眉山市青神中学校2023-2024学年高二上学期期末模拟数学试题
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6 .
是等差数列,且
,
,则
的值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f10fd9639c212f00781f2f6a708b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e912751a09f8558537edf32c87e7540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80aa66e0674159782f409de57c68efb6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:重庆市主城区六校2021-2022学年高二上学期期末联考数学试题
7 . 一支车队有10辆车,某天下午依次出发执行运输任务.第一辆车于14时出发,以后每间隔10分钟发出一辆车.假设所有的司机都连续开车,并都在18时停下来休息.截止到18时,最后一辆车行驶了____ 小时,如果每辆车行驶的速度都是60km/h,这个车队各辆车行驶路程之和为______ 千米.
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解题方法
8 . 如图,在正方体
中
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896443588845568/2943383391502336/STEM/74d02a8b436b468480ed220f0cb0d280.png?resizew=174)
(1)求证:平面
平面
;
(2)求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896443588845568/2943383391502336/STEM/74d02a8b436b468480ed220f0cb0d280.png?resizew=174)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375cae2770b37db903468f3a34ce237d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2331bccb6ebf5b9fd639df994f575a9.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2331bccb6ebf5b9fd639df994f575a9.png)
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9 . 已知双曲线
:
的左、右焦点分别为
,
,且
,点
是
的右支上一点,且
,
,则双曲线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98305756b5f2d429a5c31f801c34e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6734525c20019bb0f822acb10435f7.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/c41d07158f204f50972a15c58d198397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cb4356a21579188c19cfba791d5a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 如图,在三棱锥
中,
,二面角
的余弦值为
,若三棱锥
的体积为
,则三棱锥
外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4736e9f71a840897183fee72d3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec2524be492bca0d1566bf848066f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
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