解题方法
1 . 下列计算结果正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知函数
,若函数
的部分图象如图所示,函数
,则下列结论正确的个数有( )
①将函数
的图象向左平移
个单位长度可得到函数
的图象;
②函数
的图象关于点
对称;
③函数
在区间
上的单调递减区间为
;
④若函数
为偶函数,则
的最小值为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/044bf73a-0661-46f7-889e-201c3cc7d091.png?resizew=171)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f78a672e2ba90dd2c313f03066a72cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f790223ffd7df9fb44eb11a4c4ce6542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30179c48969c79a9bd830c566e7d2848.png)
①将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a9ae8ff26de6620737d2d367bf768c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436437f3996e0180558ef46e34e87ec2.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b172723002461ae60798317e2f10f6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40bd6ce7d89dcba6c243448938b44ef.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de05cc24a4a5b6c4d0de03b316d5151d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea60db80c703c2f70debde454e534e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/044bf73a-0661-46f7-889e-201c3cc7d091.png?resizew=171)
A.1个 | B.2个 | C.3个 | D.4个 |
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解题方法
3 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b074c2249935152d8c6ef2af2da37378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 将函数
的图象向左平移
个单位长度,得到函数
的图象,则
所具有的性质是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca96e340b1b7692256029b79a84956d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.图象关于直线![]() |
B.图象关于点![]() |
C.![]() ![]() |
D.曲线![]() ![]() ![]() |
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解题方法
5 . 函数
的图象如图所示,则
的解析式可能是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/2/8431f3e7-8f10-47db-946b-60138a445554.png?resizew=188)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/2/8431f3e7-8f10-47db-946b-60138a445554.png?resizew=188)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e63f5e55fa52bfd33b893b43450f80e.png)
(1)已知函数
,若方程
在
上有四个不相等的实数根,求:实数
的取值范围;
(2)若函数
的定义域为
,求:函数
的最值;
(3)
,不等式
恒成立,求:实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e63f5e55fa52bfd33b893b43450f80e.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4866901bf4c72adda935fddce76ed10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6edcd14735d5ffc686caf41bbbe91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9af3016ebe0c067782b2e6ef771c955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3475f7a186b113ceac3a918d20e238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8b67c150cb8f83b41f8ecf1d5ee0fc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0be5ff925023d33f7305c204a22243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf384a5fc8e162385160a4f79bd638e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 已知函数
.
(ⅰ)函数
的定义域为______ ;
(ⅱ)若
是斜三角形的一个内角,则使不等式
成立的
的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c111ae39998037ad9c2eef5a892b3e6.png)
(ⅰ)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2aeda5c6f101566159dd4c460b943b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
8 . 已知
,
.
(1)求
,
的值;
(2)求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d3dad095027475b0d53fb7f4e7cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5c9dd749202f50f605cc804bedbe1f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c5a05a11f731194a845e68a0479ce4.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14f0e92fa8665fb14d8843981319715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba9745c01bcc7c3b62a4ee6dd60a3a.png)
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解题方法
9 . 把函数
的图象上所有点的横坐标伸长到原来的2倍,纵坐标不变,得到的图象所对应的函数
的解析式是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ea867019dd122c6b94102057a5e869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 在
中,内角
,
,
所对的边分别为
,
,
,已知
,
.
(1)求
的值;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1321c2d0bfa223b176e4e6a1286b98.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721e29b775e696045f44a4b1e7f74ef2.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c21629f81ecb7188683d17c62a2082.png)
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