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解题方法
1 . 今天是星期天,则
天后是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43c0466d23ff19a1ea189dd97c805e9.png)
A.星期五 | B.星期六 | C.星期天 | D.星期一 |
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2024-05-08更新
|
612次组卷
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5卷引用:湖南省长沙市第一中学、长沙市一中城南中学等多校2023-2024学年高二下学期期中考试数学试题
湖南省长沙市第一中学、长沙市一中城南中学等多校2023-2024学年高二下学期期中考试数学试题河北省石家庄十五中2023-2024学年高二下学期期中数学试题河北省秦皇岛市卢龙县第二高级中学2023-2024学年高二下学期4月期中考试数学试题(已下线)专题04 二项式定理--高二期末考点大串讲(苏教版2019选择性必修第二册)(已下线)专题02 二项式定理及其应用常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第二册)
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2 . 设
是线段
的中点,
是直线
外一点.
为线段
上的两点,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e7cd59151397d14cffe4c191c5e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47182836f477d710442499d08d100f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a733c4da39521e6684636342bb4919ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 在平面直角坐标系
中,直线
交椭圆
于
两点,点
关于
轴的对称点为
.
(1)用含
的式子表示
的中点坐标;
(2)证明:直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3cc60d53da732d35fb070e71a97826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0b4bbfa0ed04cd3c2454d99d64e29c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
(1)用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
(2)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68142955809f9f40b15e3fa0f5bdd5.png)
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4 . 已知函数
的最小正周期为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630dcda78ca8de1830e03d954c572f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.若曲线![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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解题方法
5 . 在锐角
中,角
所对的边分别为
,且
.
(1)求
;
(2)若
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8850859d92d1c79518c35881441468.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cace0f1956948aeb47756c0cf042aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
6 . 如图,直四棱柱
的底面是菱形,
,且直线
与平面
所成角为
.
的高;
(2)在棱
上是否能找到一点
,使得平面
与平面
的夹角为
?若能,求出
的值;若不能,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af221c5ec64d0cd69040838a15da11cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32b0ef8cbcdc2e75b2ab4e1f72b20ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d22fd370735d689e98d040d8db05f0.png)
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解题方法
7 . 若
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35aba67704ba76f371bd1b52f98ae05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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8 . 陶瓷艺术源远流长,人们的日常生活中随处可见,尤其房屋装饰中瓷砖拼接的艺术颇具美感.当一些纵向长度为1,横向长度为2的矩形瓷砖在垂直或水平方向上没有间隙即恰好拼成矩形时,其铺设方法被称为瓷砖的“布置”.设纵向长度为3,横向长度为
的长方形为
.使用
片砖的
的“布置”方法总数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdb8ac68496652fffd38593abeee561.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f41be870e84c819362787849770519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135cb036833400f3fa1edc92d5ce410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdb8ac68496652fffd38593abeee561.png)
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9 . 若存在两个不相等的正整数
,使得
对任意的
都成立,则常数
的所有可能取值构成的集合为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ea36cd9bdb8fbe61d332c6e8c58670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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10 . 已知首项为3的数列
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45afac8bc822abfce8a3cdcbd0d590c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5f70ae7f17b8226aee63a1784ab887.png)
A.-2 | B.![]() | C.2 | D.3 |
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