名校
1 . 已知
函数
,直线
是函数
的图象的一条对称轴.
(1)求函数
的单调递增区间;
(2)已知函数
的图象是由
的图象上各点的横坐标伸长到原来的4倍,然后再向左平移
个单位长度得到的,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9604a673aee2f328ee1c10d3a0eba930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0b1bacff82fb43d5ca43edfc9be942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7138592001dbc8cbed9d566b8a68f4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
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解题方法
2 . 已知
,
,
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527e4ff6df4a0c447c09006a0e22db40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f6eca9a9cda6e3f85f5f4d2f121e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caebc886de4da07db4fb19244ad8ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2024f720b6d912e68fe6ab164852a6b8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ae5533e4edd42a0d8ee87ab4555ca2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8a74444275f0fd6ed81998a889590c.png)
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3 . 如图,直线
,
,
,
为线段
上一点,且
,点
、
分别为直线
、
上的点,且
,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/3434e414-12b8-4e66-b95d-5e9d1b008dac.png?resizew=154)
(1)当
,求
的面积
;
(2)用
表示
的面积
,并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e03566282ef39ad17821036f228174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd2d246f0850db73fe2e6b1e26eb549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbb2dce15f3d0fe839688575d2a8ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add60595ecea5d00ff1fbb2a5409be73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548edcb48a64ab7570e9195a39bed656.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/3434e414-12b8-4e66-b95d-5e9d1b008dac.png?resizew=154)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c96cb3ac8290e09c55d4eb336a8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de0022a7f2e122492f1483e4d3cccba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e9e650e76d84f709d26f7b7274dadc.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de0022a7f2e122492f1483e4d3cccba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
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解题方法
4 . 南宋数学家秦九韶在《数书九章》中提出“三斜求积术”,即以小斜幂,并大斜幂,减中斜幂,余半之,自乘于上:以小斜幂乘大斜幂,减上,余四约之,为实:一为从隅,开平方得积,可用公式
(其中a、b、c、S为三角形的三边和面积)表示.在
中,a、b、c分别为角A、B、C所对的边,若
,且
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3773d03d7d03a5a61aee0cd224b18e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03434726ff0b9e5cf5234c10049bb007.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() ![]() |
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解题方法
5 . 已知函数
.
(1)求函数
的最小正周期及单调递增区间;
(2)设
的内角
的对边分别为
,且
为锐角,
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cb8dc721b7d92a40dff44333ef1e3a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](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/0e7ef8c0cfff3223d1f282c1b709672e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b67a3e74a61deead65dec03a344b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-11-11更新
|
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3卷引用:黑龙江省大庆实验中学实验二部2023-2024学年高二上学期期中考试数学试题
名校
6 . 已知
,记
.
(1)求函数
的最小正周期和对称中心;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39584e693e9eb7af42eb8e0a98032e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8807bccd1a53fe8e859ca9281bcd9d6a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d5b646e0aca2db0db18a0820ae42e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfdf98213115dc7a6646d1417702a0e.png)
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2023-11-09更新
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2卷引用:黑龙江省大庆市肇州县第二中学2023-2024学年高三上学期11月月考数学试题
名校
解题方法
7 . 在
中,三边
所对的角分别为
,已知
.
(1)若
,求
;
(2)若
边上的中线长为
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0142e1a16e7c1d1649d19f45c3eab83.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f002f960ec07ea229ed243e2d991d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c181f86de3c96a7ef7a1a04c3a438f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9f3fdb3eed7be3c0c1bffe8c31f99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
8 . (1)已知
,求
的值;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf15e690c009e03dd700ef11a45285e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a035e688c7cc5382435f05c4c5fa1b9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1aa1ac647786e030b799530eab9769d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd7cef79c0d2511e0ddca7ee51eca1e.png)
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解题方法
9 . 已知函数
.再从条件①、条件②、条件③这三个条件中选择两个,使得函数
的解析式唯一确定
(1)求
的解析式及最小值;
(2)若函数
在区间
上有且仅有2个零点,求t的取值范围.
条件①:函数
图象的相邻两条对称轴之间的距离为
;
条件②:函数
的图象经过点
;
条件③:函数
的最大值与最小值的和为1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9867469a2cedc23c3a81ecdd83cff70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe56a1cb8dfb23eb458c1b1ca5193d48.png)
条件①:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
条件②:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef27026f67ad4a13f8cb413ec2d1afc.png)
条件③:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-11-02更新
|
452次组卷
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3卷引用:黑龙江省哈尔滨市哈工大附中2024届高三上学期期中数学试题
10 . 已知
,若
,
,
,则a,b,c的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6943f158bf2f76abed0c58196dbe0bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211eb0cb89e4c6f968266d90b7325ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06836ba34dc201c7c97aa74db0cf1674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72e3a69ee081af5c8a6a3350b0e8c0d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-30更新
|
483次组卷
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5卷引用:黑龙江省百师联盟2024届高三一轮复习联考(二)数学试题
黑龙江省百师联盟2024届高三一轮复习联考(二)数学试题甘肃省部分校2024届高三上学期10月质量检测数学试题(已下线)模块二 专题4《三角函数与解三角形》单元检测篇 A基础卷 (人教A)(已下线)第14题 充分利用三角公式的比大小问题(压轴小题)(已下线)专题03 恒等变形拆角归类(2) -期末考点大串讲(苏教版(2019))