1 . 在①
,②
,③
,这三个条件中任选一个补充在下面的横线上,并加以解答.
在
中,角
,
,
所对的边分别为
,
,
,且 .
(1)求角
的大小;
(2)若
为锐角三角形,
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef8ad9f9cf060771d47d36cde93afae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5455c52de0aef08eba4c104f99efeab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949400f9ba875a3e230063573a423e74.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2 . 如图,在
中,点
是
上的点且满足
,
是
上的点且满足
,
与
交于
点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f750b00c80522cbf882b082def2ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acb709a36f14162706225313b154704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734c5f0ab3f244ae2ce1ba7b618cb0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知向量
,
,
满足
,
,
,
,则
的最小值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787379f7ff8d24be7eebfea1cfe956d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd522bfa5a73cc24b727dfb9662bdaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e412d0b40771fa45aa0a8d1ceb426bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca31f61e80a6b7a68b13f6a52b46217.png)
A.![]() | B.![]() | C.4 | D.![]() |
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4 . 若函数
有两个不同的零点,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f324645c18e86aa94cfb603600aeca38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 有甲、乙等4名同学,则下列说法正确的是( )
A.4人站成一排,甲、乙两人相邻,则不同的排法种数为12种 |
B.4人站成一排,甲、乙按从左到右的顺序站位(不一定相邻),则不同的站法种数为24种 |
C.4名同学分成两组分别到A、B两个工厂参观,每名同学必须去,且每个工厂都有人参观,则不同的安排方法有20种 |
D.4名同学分成两组参加不同的活动,每名同学必须去,且每个活动都有人参加,甲、乙在一起,则不同的安排方法有6种 |
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3卷引用:四川省内江市第二中学2023-2024学年高二下学期期中考试数学试题
四川省内江市第二中学2023-2024学年高二下学期期中考试数学试题四川省眉山市仁寿第一中学校(北校区)2023-2024学年高二下学期5月考试数学试题(已下线)专题03 排列组合及应用--高二期末考点大串讲(苏教版2019选择性必修第二册)
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6 . 有5名大四学生报名参加公开招聘考试,总共有三个岗位,每人限报一个岗位,若这三个岗位都至少有1人报考,则这5名大四学生不同的报考方法总数有( )
A.144 | B.150 | C.196 | D.256 |
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7 . 如图,在扇形OAB中,半径
,圆心角
,F是扇形弧上的动点,矩形CDEF内接于扇形,设
,则矩形CDEF的面积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc790cfaa59a808c25a7edb95dc29fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c22f040f353ab28a6e00ddd56913c2.png)
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8 . 已知平面向量
,
,
.
(1)设函数
,求
的对称轴方程;
(2)设函数
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d7254ef3572dab258992009118ad52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55afdcae451c6c80aec81a2add346f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cce72f5be6a326974b161ca7c80bf75.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f31953ed87a666e98898a6ced457f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bd58611e57c50d170d4e13f62e8dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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9 . 在
中,角A,B,C所对的边分别为a,b,c,下列命题是真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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10 . 在
中,a,b,c分别为内角A,B,C的对边,若
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f2c0df8a431457218cf3dcc7986fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a67c529d3e81a79c4e4409953d316f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2eb41913d12742fa72f7d29da3c295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
A.![]() | B.4 | C.![]() | D.5 |
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