1 . 《周髀算经》中给出的弦图是由四个全等的直角三角形和中间一个小正方形拼成一个大的正方形,若图中直角三角形的两锐角分别为
,其中小正方形的面积为9,大正方形的面积为25,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d892b1dd6238c35f723fc02fdf194ece.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d892b1dd6238c35f723fc02fdf194ece.png)
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2 . 在平面直角坐标系中,锐角
,
均以
为始边,终边分别与单位圆交于点
,
,已知点
的纵坐标为
,点
的横坐标为
.
(1)直接写出
和
的值,并求
的值;
(2)求
的值;
(3)将点
绕点
逆时针旋转
得到点
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954795d1842974a705f9468f3b952ab1.png)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fe57d4fbae536de2e641d9d349fcf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d75442a901f013aeb5c52a7113ae9b9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dff93568aeebd3ebf5c46d75f9d2f8a.png)
(3)将点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024·全国·模拟预测
解题方法
3 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed54d127c43cf45175f9b66e51f122b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9c205b120b0496fe9b957cd650e972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64c0e5d23803b0302a7c84d3f806da2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc141b4d5e0a5fb51a699bc63ba1d8e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
,其中
.
(1)求
的值;
(2)求
的值;
(3)设
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61216b6344288c75bbb110804eec3678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bec99b0f7da69dd2f6ef8e88c35b81.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50238d3700e94b1ffe45975fa20a53c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998b9daea176ab14ea9915e77b646577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c5c4e67380ea1788193279aecfea19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
的内角A,B,C所对边分别为a,b,c,且
,
.
(1)求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4aecfdd47be5ca9c2d7be6f6525ebae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb0f9900e2d405a7366f6c24e146781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402f1010e94be78552ed4c45548b1b8.png)
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7 . 将函数
的图象上所有点的横坐标伸长到原来的2倍,纵坐标不变,得到函数
的图象.
(1)求
的解析式与最小正周期;
(2)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f9e2f7784ebdd64292e805884dfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73387a4ccf38c8da46b698b2a8a98152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b986672a23ad322d79e9e18c5d3bc0c.png)
您最近一年使用:0次
2024-05-11更新
|
182次组卷
|
2卷引用:甘肃省白银市2023-2024学年高一下学期5月阶段性检测数学试题
名校
解题方法
8 . 如图,在四边形
中,已知
,
,
,
,
,则以下说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18834f4ba51bf4d490f35ed02379fec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436364e65085e00da8e02beb676244b4.png)
A.![]() | B.![]() |
C.四边形![]() ![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知函数
,x
R.
(1)求
的最小正周期;
(2)求
在区间
上的最小值并指出此时
的取值;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d270cf62995ecaabfbcadbc71a974290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15539a8438be3774bc02d3b81183110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc28b68212359e66cf2eac690a85232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
您最近一年使用:0次
2024-05-08更新
|
1377次组卷
|
4卷引用:江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题
江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题(已下线)模块四 期中重组卷1(江苏南京)(苏教版)江西省南昌市第五高级中学2023-2024学年高一下学期期中考试数学试卷(已下线)江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题变式题16-19
名校
解题方法
10 . 在
中,角
所对的边分别为
.满足
.
(1)求角B的大小;
(2)设
,
.
(ⅰ)求c的值;
(ⅱ)求
的值.
![](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/95d37b2f8d5da8eaa07442b941017c1c.png)
(1)求角B的大小;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39372e70f5465f8cf0c5ebf7653f0e68.png)
(ⅰ)求c的值;
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f550baf3413403e7e09d3d7ddd09d1d6.png)
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