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 . 已知
,
是函数
的零点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c1f914da4657eca7865982b130b299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d75442a901f013aeb5c52a7113ae9b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c487295d441397ea078d433e61087cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a91d7fa3be7708a277b8a836c5af89.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 设
是
内一点,且
,定义
,其中
分别是
的面积,若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58ff77bc49f127a27e0af56573944c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801d50da9a58b1b1d48141e6ad01c1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d201ead127c65cc0bc153fdb445e420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4d96a8d81b2cd450bd92e7a9ec791f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f257b71e2b7886aadf7f1ebc809c10b1.png)
A.![]() | B.18 | C.16 | D.9 |
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5卷引用:四川省南充市南部中学2023-2024学年高一下学期第二次月考数学试题
四川省南充市南部中学2023-2024学年高一下学期第二次月考数学试题福建省三明市六校2023-2024学年高一下学期期中联考数学试卷(已下线)核心考点2 平面向量的数量积 B提升卷 (高一期末考试必考的10大核心考点)(已下线)核心考点3 解三角形与实际应用 A基础卷 (高一期末考试必考的10大核心考点) (已下线)【高一模块一】难度7 小题强化限时晋级练 (较难1)
4 . 崇丽阁之名取自晋代左思《蜀都赋》中的名句“既丽且崇,实号成都”.如图,在测量府河西岸的崇丽阁高
时,测量者选取了与塔底
在同一水平面内的两个测量基点
与
,并测得
米,在点
处测得塔顶
的仰角为
,则塔高
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/4c3d264801530399b0427876bd2a69e6.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/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:四川省成都市第七中学2023-2024学高一下学期6月月考数学试题
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5 . 已知函数
,若
使得
的图象在点
处的切线与
轴平行,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d458b75c3c5d9078ea50c42f9135ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3691d7e6510dccb66ed928a0d9570e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8559f5db9b978cb2bd290dbce7268629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.2 | B.![]() | C.1 | D.![]() |
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6 . 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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7 . 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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8 . 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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9 . 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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10 . 已知函数
,则以下说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc53e6e932d43ad1ee74fdc0bf004fe8.png)
A.![]() ![]() |
B.![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() ![]() ![]() ![]() ![]() |
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