1 . 函数
的部分图象如图所示,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e544fbee102f398cb6e3813b23accd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/1/4d3b10d2-f69b-43ab-9739-a2edbb13858d.png?resizew=185)
A.![]() ![]() |
B.a的值为![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() |
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2 . 瑞云塔位于福清市融城东南龙首桥头,如图,某同学为测量瑞云塔的高度MN,在瑞云塔的正东方向找到一座建筑物AB,高约为17.3m,在地面上点C处(B,C,N三点共线)测得建筑物顶部A,瑞云塔顶部M的仰角分别为
和
,在A处测得瑞云塔顶部M的仰角为
,瑞云塔的高度约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3598b267a362446bdec58695f55575fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5bb4978fdc23a8220f68fe41d28829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8527a728c5cc2d06cef330f7cedf8542.png)
A.39m | B.34.6m | C.33m | D.32m |
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3 . 已知
中,内角A,B,C所对的边分别为a,b,c,且
,
,若点P是边BC上一点,Q是AC的中点,点O是
所在平面内一点,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfd670b36d3987d275102b7fc8d04d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1902376c22f714090ccaadf17365363e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db18d9e47a893fe0e93b6bd34194a8cb.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若点P为BC的中点,则![]() |
D.若![]() ![]() |
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解题方法
4 . 在
中,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15cb0f57dd1cc8dd7675eaa68fef7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402f1010e94be78552ed4c45548b1b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-07-31更新
|
305次组卷
|
4卷引用:福建省福州第四十中学2022-2023学年高一下学期期末适应性练习数学试题
福建省福州第四十中学2022-2023学年高一下学期期末适应性练习数学试题(已下线)6.4.3 课时2 正弦定理-同步题型分类归纳讲与练(人教A版2019必修第二册)四川省宜宾市第四中学校2023-2024学年高三上学期10月月考数学(理)试题四川省宜宾市第四中学校2023-2024学年高三上学期10月月考数学(文)试题
5 . 在
中,内角A,B,C的对边分别为a,b,c,S为
的面积,且
.
(1)求角B的大小;
(2)若
,
,BD平分
,交AC于点D,求BD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460d6119236e7a4d4fa3ac5cefe9655d.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39372e70f5465f8cf0c5ebf7653f0e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3dcbb853e4b9fd1d011bd5f1948018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
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6 . 已知
.
(1)化简
并求函数
图象的对称轴方程;
(2)当
时.求函数
的最大值、最小值及对应的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83987022a31cf913ac2455a2e44dde5e.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c5feb0608338d11ab9153185e3df98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
7 . 如图,在直角坐标系内,角
的终边与单位圆交于点
,
逆时针旋转
得
,
逆时针旋转
得
逆时针旋转
得
,则点
的横坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e514bc1761deff47d27c1909c1906ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c288fb8f92acfdec96412be86919bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1652145a4785b50fa22fdd8c63f724b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ae18c3151ef1283fbd7854562fdfc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ae18c3151ef1283fbd7854562fdfc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb400af890a0d263eae7bdc0b594869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9123b1c8cb0bbaca44e8464bee03678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457713c3ada6b1bf0b7242fe48635a0d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 下列等式不正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c053ad5f1a857e911e49c34d43fae1ce.png)
(1)求
的单调递减区间;
(2)若
,函数
的解恰有3个,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c053ad5f1a857e911e49c34d43fae1ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aaf0954e97b5af6aa0c566431721e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
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10 . 已知函数
的部分图像如图所示,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b4493b66a538140dd12bb3b268a7a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/1/3b35f26f-b8ff-4cfe-a6d2-4e0686ba370d.png?resizew=143)
A.![]() ![]() |
B.![]() ![]() |
C.将函数![]() ![]() ![]() |
D.方程![]() ![]() |
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2023-07-27更新
|
871次组卷
|
4卷引用:福建省福州高级中学2022-2023学年高一下学期第四学段(期末)考试数学试题