名校
解题方法
1 . 已知a,b,c分别是△ABC的三个内角的对边,且
.
(2)若
,将射线BA和CA分别绕点B,C顺时针方向旋转
,
,旋转后相交于点D(如图所示),且
,求AD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db70fc431bf6feaf60d17266fab392a9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d62fa5723dc36286b8f5494f993e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2dba563554805d236372ab3d862cecd.png)
您最近一年使用:0次
2024-05-28更新
|
426次组卷
|
3卷引用:2024届海南省省直辖县级行政单位琼海市高考模拟预测数学试题
解题方法
2 . 已知函数
,等差数列
的前
项和为
,记
.
(1)求证:
的图象关于点
中心对称;
(2)若
,
,
是某三角形的三个内角,求
的取值范围;
(3)若
,求证:
.反之是否成立?并请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47665ff46fcf594d4151c3a89707257f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7830b11dc2634eb661673a04287ddc6.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ebbb2eab12b76127cc87304c212cdd6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c5f3a5c55e0c95191c5a893f63062.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca95ba448d33b5e82aa1a3591dc0adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4615a158e82ab5ff2c3a84f13d1ccda.png)
您最近一年使用:0次
名校
解题方法
3 . 在
中,角A,B,C的对边分别为a,b,c,且
.
的大小;
(2)若
,且
的面积为
,求CD的长度;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d01d2956b453f7a29b4221cee240dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7324614911323ac5ca128ab6066b2985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395424943f098d2c9a83d80039018429.png)
您最近一年使用:0次
名校
解题方法
4 . 在
中,角A,B,C的对边分别为a,b,c,已知
满足下列条件,解这个三角形.
(1)
,
,
;
(2)
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d39e8c6fc9149d6290c493a65bdc53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387b42001075cfc10e2c8567c2511719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f13d110cf44d3969f39b605a12e2ce.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e207b2baf056a7d6a6bde1f23bf12bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387b42001075cfc10e2c8567c2511719.png)
您最近一年使用:0次
名校
5 . (1)化简:
;
(2)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352584b75e983e7a4f69798fed3b996d.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0adf753b6b714b777f0ca6eb87aad2e.png)
您最近一年使用:0次
名校
6 . 已知函数
.
(1)若
的最小正周期为
,求
的值;
(2)将函数
的图象向下平移1个单位长度,得到函数
的图象,若函数
在区间
上没有最值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60868fddd3c9b4a39f176fdcf89b2fde.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3736369e457d62b4878355726b91412e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
7 . 已知锐角
的顶点在坐标原点,始边与
轴的非负半轴重合,终边与单位圆交于点
.
(1)求
的值;
(2)若锐角
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26eb63589d40d60a3d53f7fbd8e70c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c4f45c7000140f48ba252cf4ddaf43.png)
(2)若锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabd534a0745c177bee146f0f3698721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fe57d4fbae536de2e641d9d349fcf1.png)
您最近一年使用:0次
名校
8 . 已知函数
,其中向量
,且函数
的图象经过点
.
(1)求实数
的值;
(2)求函数
的最小值及此时
的取值集合.
(3)求函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b5794c44a1c49ddf0cfdd52c56ce3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e782285d67cdc11174929861b63084cd.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e023e67ca59fc687c8e4ff3280e57a97.png)
您最近一年使用:0次
名校
解题方法
9 . 在
中,角A,B,C所对的边分别是a,b,c,在下面三个条件中任选一个作为条件,解答下列问题,三个条件为:
①
;②
;③
.
(1)求角A的大小;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211a30d81bab3a8557f43abc23cbb35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c249b23e67899be4cd788104bf97d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52f6b15b2acbed193520b12e7185f38.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721f95ba2f0730cc6cbec9bf33a062dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
您最近一年使用:0次
2024-04-11更新
|
704次组卷
|
3卷引用:海南省部分学校2024届高三考前押题考试(三模)数学试题
10 . 在
中,
.
(1)求
的大小;
(2)若
,再从下列三个条件中选择一个作为已知,使
存在,求
的面积.
条件①:
边上中线的长为
;
条件②:
;
条件③:
.
注:如果选择的条件不符合要求,第(2)问得0分;如果选择多个符合要求的条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e020552817522e0269d57ee7c93e931.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0bb2d518404110ab3d16bfe42d6e74.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab1c19b66cda3fb899f06d9a25e973c.png)
注:如果选择的条件不符合要求,第(2)问得0分;如果选择多个符合要求的条件分别解答,按第一个解答计分.
您最近一年使用:0次
2024-04-08更新
|
1377次组卷
|
5卷引用:海南省文昌中学2023-2024学年高一下学期期中段考数学试题