1 . 已知
的面积为
,且
.
(1)求
;
(2)若点
为
边上一点,且
与
的面积之比为1:3.
①求证:
;
②求
内切圆的半径
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f42512944bb6478f06cdee50aa82ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eecc8c02ff3d06d7f31b313623da6c7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62f140d8587e6e35e01da1bbdefc53e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba47906b1c55990f2c0ca31d656b774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77e3c1c236141d6118429fade0a9b9d.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba47906b1c55990f2c0ca31d656b774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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名校
2 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb3d1e45b620046af4a7a332972498d.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb3d1e45b620046af4a7a332972498d.png)
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3 . 若角
的终边上有一点
,则
的值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6d5435a4e440f26504ab313c43073f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb66ba8f5084a3ae830232a11b2e06b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.1 | B.![]() |
C.4 | D.-4 |
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名校
4 . 设
为第二象限角,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc9a6d1f9a5428ab91afaa436f88695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ab55147ca5c0f958af43b0637ee31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0490aad6fbc313916ad296fc892585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc9a6d1f9a5428ab91afaa436f88695.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:2017届江西赣州十三县市十四校高三文上期中联考数学试卷
5 . 已知
中,
则角
等于
![](https://img.xkw.com/dksih/QBM/2016/12/7/1579044920057856/1579044920213504/STEM/0ae5f98994194ab0bf014b20f94a22b7.png)
![](https://img.xkw.com/dksih/QBM/2016/12/7/1579044920057856/1579044920213504/STEM/e92238fd26244c59b5213104ce8fc312.png)
![](https://img.xkw.com/dksih/QBM/2016/12/7/1579044920057856/1579044920213504/STEM/421689eadc394f57b73304f77a09310c.png)
A.30° | B.60° | C.150° | D.30°或150° |
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名校
6 . 如图,在四边形
中,
,
.
(1)求
的值;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3b35fef53c9b95dde3da01391d5643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e39bee1445161f91213c83b498b8ec.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d08f0ab6e573253450e03427e13db1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c120448ac724eab5e768d1fc50c16555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/7/dc93eea7-1238-4b73-9436-334ed8185c40.png?resizew=208)
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11-12高一·全国·课后作业
7 . 若
是方程
的两个根,则
之间的关系是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18718fb2ec7df8b9cab10aa0bcc73259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a7b78d895784b4af75b962bd40f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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5卷引用:2017届江西南昌市新课标高三一轮复习训练五数学试卷
2017届江西南昌市新课标高三一轮复习训练五数学试卷沪教版(上海) 高三年级 新高考辅导与训练 第三章 三角 二、三角式的化简与求值(已下线)2012年苏教版高中数学必修4 3.1两角和与差的三角函数练习卷(二)沪教版(2020) 必修第二册 高效课堂 第六章 三角 6.2 常用三角公式(2)上海市西南高级中学2020-2021学年高一下学期3月月考数学试题
8 . 如图所示,在平面直角坐标系
中,角
的顶点在原点,始边与
轴的非负半轴重合,终边交单位圆于点A,
,将角
的终边绕原点逆时针方向旋转
交单位圆于点B,过B作
轴于C.
![](https://img.xkw.com/dksih/QBM/2016/12/2/1573191162257408/1573191168532480/STEM/d96ce3a243af46bd86979dab9bdfdfcb.png)
(1)若点A纵坐标为
,求点
的横坐标;
(2)求
面积S的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6be109be54b350af8f81ddaf9209d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdab625e32e38d1c72c901cece0e147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0627fa3f78e3248668647b88040ea25c.png)
![](https://img.xkw.com/dksih/QBM/2016/12/2/1573191162257408/1573191168532480/STEM/d96ce3a243af46bd86979dab9bdfdfcb.png)
(1)若点A纵坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c888bc7e31b864eb187b8c9164a210a2.png)
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解题方法
9 . 已知
点为
的重心,且满足
,若
,则实数
=_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2372c8c6322f36a6444e6f3485c27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4076b135fb46a15b6b45975edc53da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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10 . 已知函数
的部分图像如图所示,则曲线
在
处在的切方程为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27cd15ee656d39a864fbecf781f23c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
![](https://img.xkw.com/dksih/QBM/2016/12/2/1573191162257408/1573191168368640/STEM/c5184843ab174b6cb98df497b29e9a6f.png?resizew=143)
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