1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d82a8a3968ec0509bf3c338a939fb07.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/fa614b5d-38d8-419e-b9bc-3c58f1ef717a.png?resizew=173)
(1)完成下列表格,并在坐标系中描点画出函数
的简图;
(2)根据(1)的结果,若
(
),试猜想
的值,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d82a8a3968ec0509bf3c338a939fb07.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/fa614b5d-38d8-419e-b9bc-3c58f1ef717a.png?resizew=173)
(1)完成下列表格,并在坐标系中描点画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d82a8a3968ec0509bf3c338a939fb07.png)
(2)根据(1)的结果,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf7c745cd02f4620a175cf00ec85e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ceddc345bfa05b7c0c61ec02470188a.png)
1 | 2 | 4 | |||
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/caf4e040-c408-42a7-b3e8-144d109b4a90.png?resizew=194)
(1)判断函数的奇偶性,并利用定义证明;
(2)判断函数
单调性(不需要证明),并画出
的图像.
(3)若不等式
在区间
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47b2d73a4858fe5a169a0964c7e878e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/caf4e040-c408-42a7-b3e8-144d109b4a90.png?resizew=194)
(1)判断函数的奇偶性,并利用定义证明;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bed605a16f9afd9b63861e02056a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0a7f52eb82472cce50381cbed1c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)画出函数
的图象;
(2)写出函数的单调减区间;
(3)用定义证明函数
在
为增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3611a6b3ddf775bc8ab1d87b4824477d.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)写出函数的单调减区间;
(3)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f377fc64fb9418ab359b137740e3925.png)
您最近一年使用:0次
4 . 设函数
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2617510d3739746b0633c37923fc9080.png)
(1)求实数
的值;
(2)判断函数的奇偶性,并说明理由;
(3)判断
在区间
上的单调性,并用函数单调性的定义证明结论;
(4)依据函数的性质,作出函数图象的示意图;
(5)若关于
的方程
恰有三个实数解,写出实数
的取值范围(不用证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd99584f8a2813059907e69d13581c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2617510d3739746b0633c37923fc9080.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判断函数的奇偶性,并说明理由;
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e006fda65dd74bfed53c781c9b5f3a3.png)
(4)依据函数的性质,作出函数图象的示意图;
(5)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 给定函数
,
,
.用
表示
,
中的较大者,即
.
(1)请写出函数
的函数解析式,
(2)画出函数
在
上的图象,并写出函数
的单调区间(不用证明)和值域;
(3)若
,则求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7343e8f9118952329c5c1072caa9b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c4473159277aed64ea96c4af087954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](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/0d08113f348ee3409e25687093914af2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/8de33e76-504c-49d8-9fb1-22cda317882b.png?resizew=170)
(1)请写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6abc791ee78b985fe878f99514c05c9.png)
您最近一年使用:0次
解题方法
6 . 如图,已知直线
,
是
,
之间的一定点并且点
到
,
的距离分别为
,
,
是直线
上一动点,作
,且使
与直线
交于点
.设
.
面积
关于角
的函数解析式
;
(2)画出上述函数的图象;并根据图象求
的最小值;
(3)证明函数
的图象关于
对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/5963abe8f421bd99a2aaa94831a951e9.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/80b53eab97158937f92039c1e133b0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f285174fbf90a9742de57c1e53224cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c499d3ef329f85e59fd72dec6f453bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
(2)画出上述函数的图象;并根据图象求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
(3)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4120436d6ff0c58109473edc068257c3.png)
您最近一年使用:0次
解题方法
7 . 已知函数
是定义在
上的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/7fbcf997-9b49-4250-ae7b-99d2a3a4f77c.png?resizew=171)
(1)求函数
的解析式,并画出
的图象;(作图要求先用铅笔作出图象,再用黑色签字笔将图象描黑);
(2)根据图象写出函数
的单调区间(不用证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/7fbcf997-9b49-4250-ae7b-99d2a3a4f77c.png?resizew=171)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)画出
的图象;
(2)若函数
的最小值为m,x,y,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd95b79f0d36b83f348ae730ba3c4a9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/7/d3d9876a-a4a1-4b67-a6af-dfcaf7d4245c.png?resizew=175)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7e635200cb19c4730160bb359f5f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9840dfad60acd1cb4198270481849b0.png)
您最近一年使用:0次
2023-08-04更新
|
82次组卷
|
2卷引用:江西省赣州市兴国县2023届高三高考考前最后一卷(全国乙卷)数学(理)试题
名校
9 . 已知函数
.
(1)
的值;
(2)记
,画出函数
的图象,写出其单调递减区间(无需证明);
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b521a45a710210b7c631f069b4851f9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/5c434d28-ac64-4307-8e0c-ceabd0807536.png?resizew=173)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2744646ce1af08aa62b4f66479d87d1.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f949b9a15ad3cdb3511fdb803c707bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
您最近一年使用:0次
解题方法
10 . 已知函数
,
.
(1)求
;
(2)画出函数
的图象;
(3)写出函数
的单调区间和值域(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7b9ef1fee1220682f7c6ee64879147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb6419c478b6a227e3f5efd67e52fe8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc83f94678b595d52018a088823e64f7.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次