名校
解题方法
1 . 在
中,角
的对边分别为
,且
.
(1)求
的值;
(2)若
为锐角三角形,求
的取值范围.
![](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/d78340a3105486043276458198f548f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f2d4d1d2c16c54b2caef17840bfcb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
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解题方法
2 . (1)解不等式:
.
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d9add53293d74de1036132da77482b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a39ee003ce154b19561409afdddb7c.png)
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名校
解题方法
3 . 已知
的内角A,B,C所对的边分别为a,b,c,且
,
.
(1)若
,求
的值;
(2)若
的面积
,求b,c的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f725cd457926601e96aa6252433655d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2eb41913d12742fa72f7d29da3c295.png)
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4 . 已知
.
(1)若
(
为坐标原点),求
与
的夹角;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e1a313feb36fcdcb02a5103a7ad533.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe4bcd4a8f430bed672d424a0c35bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf52bc1c5ed7b184e96db786b402c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3482a6857cc6acc75cd9a89f3580fabf.png)
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2024-04-04更新
|
501次组卷
|
2卷引用:湖南省衡阳市第八中学2023-2024学年高一下学期开学考试数学试题
名校
解题方法
5 . 已知
,且满足
.
(1)求
的值;
(2)若角
的终边与角
的终边关于y轴对称,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fcc0606aa9ce75269c63af6be62f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c0853d16a34fc8b9776ff1a1f29dea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7aee715ac87a76f7a00996af77481ed.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4e1a0e7c86ad340d097044203cc8df.png)
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6 . 已知函数已知向量
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ab96b10e5d95acd8490e9627daa96c.png)
(1)判断函数
的奇偶性;
(2)若
,求
的值;
(3)设函数
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d7254ef3572dab258992009118ad52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509298f6b272d821239b5dcb38e2f4bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ab96b10e5d95acd8490e9627daa96c.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b7ca4667865ebe617fa6539e8d11fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c5a05a11f731194a845e68a0479ce4.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442b1fa3e260ac1cf49c3abc996e74a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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7 . 求下列各式的值
(1)已知
且
是第三象限角,求
与
的值
(2)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f331c3d96c5812a620e326373747eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54acbb7283cadba2c55a37a7648b1c15.png)
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名校
解题方法
8 . 已知
,函数
,其中
.
(1)设
,求t的取值范围,并把
表示为t的函数
;
(2)求函数
的最大值(可以用a表示);
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895a4553eb2d7fc6699c4a0b53a45d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a68eadbcb9953c6d7fc17ef2763ce5.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c9780f88088b5987da463a7b786aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
9 . 已知
.
(1)若
是第三象限角,求
,
的值;
(2)先化简再求值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51474d91e540a475138571e8738de850.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
(2)先化简再求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a237ddafaf0f1ea58f21180205f661b5.png)
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10 . 计算求值
(1)已知
,求
的值.
(2)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1ae79c08d206597df2283d6fff2b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e7f6d76a0eb6027a583b68b7fd89a4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9b7179c01cdd435ed34a8ae4472d23.png)
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