12-13高二下·福建·期末
名校
解题方法
1 . 已知
是定义在
上的偶函数,且
时,
.
(1)求
,
;
(2)求函数
的解析式;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83ab50d93375eaaf51c3354b855e023.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be26aaac24fab885d95e8669b642c2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-02更新
|
2685次组卷
|
9卷引用:云南省曲靖市罗平县第二中学2019-2020学年高一上学期期中考试数学试题
云南省曲靖市罗平县第二中学2019-2020学年高一上学期期中考试数学试题(已下线)2012-2013学年福建省师大附中高二下学期期末考试文科数学试卷2015-2016学年宁夏石嘴山三中高一上期中数学试卷2016-2017学年河北武邑中学高一周考10.23数学试卷2017-2018学年人教版高中数学必修一:阶段质量检测(二)步步高高二数学暑假作业:【理】 作业3 基本初等函数、函数的应用步步高高二数学暑假作业:【文】作业3 基本初等函数、函数的应用江西省高安中学2019-2020学年高二下学期期中考试数学(文科)试题海南省北京师范大学万宁附属中学2019-2020学年度高一下学期开学考试数学试题
11-12高一上·吉林·期末
解题方法
2 . 设
为奇函数,
为常数.
(1)求
的值;
(2)证明:
在(1,+∞)内单调递增;
(3)若对于[3,4]上的每一个
的值,不等式
恒成立,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/c877da4c937749d383df4f591787ec16.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/f39af48f7ebe4ced953935808f137b22.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/f39af48f7ebe4ced953935808f137b22.png)
(2)证明:
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/70ff443b4bc54c1db42c9384969c1d7a.png)
(3)若对于[3,4]上的每一个
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/644d1e62239349598267c2af3b36be09.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/094454a0f086498ba08414d5cc6ecb9f.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/6c4577d458234d7397784b59447bd85d.png)
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11-12高一上·云南红河·阶段练习
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d128b8695b7f57347518d5c7f2c61b02.png)
(1) 判断函数
的奇偶性并证明.
(2) 利用单调性定义证明函数
在
上的单调性,并求其最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d128b8695b7f57347518d5c7f2c61b02.png)
(1) 判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2) 利用单调性定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5ecb7b379e517ee400d76414761d34.png)
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12-13高一上·云南德宏·期末
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351fe2497e120e46b6f4a6ea1c80c010.png)
(1)求
的定义域.
(2) 判断
的奇偶性并说明理由.
(3) 判断
在区间
上的单调性并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351fe2497e120e46b6f4a6ea1c80c010.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9a28c7901ea9c064d720a53cb4390d.png)
(2) 判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9a28c7901ea9c064d720a53cb4390d.png)
(3) 判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9a28c7901ea9c064d720a53cb4390d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722130469f5aded0179c8e96fbb27007.png)
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12-13高一上·云南·期末
5 . 已知函数
的图象过点
和
.
(1)求函数
的解析式;
(2)试做出简图,找出函数
的零点的个数(不必计算说明);
(3)试用定义法讨论函数
在其定义域上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fb831c70e9094e2b1c85728f327a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84aa4596928dcdde6a05fc9cf83cce20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670f050f37e6c929cba66bd41c3de4d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)试做出简图,找出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3235ca06a5de2b59d245faab95b820af.png)
(3)试用定义法讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1528b0cdbfe6375c655d43cc696550ae.png)
![](https://img.xkw.com/dksih/QBM/2012/2/24/1570769846837248/1570769852481536/STEM/3f7d17d6e52f430dbd38da329ca71d67.png?resizew=368)
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12-13高一上·云南昆明·期末
6 . 已知函数
,
,其中(
且
),设
.
(Ⅰ) 当
时,判断并证明函数
的单调性;
(Ⅱ)若
,且对于区间
上的每一个
的值,不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56249d43922ff1f5c70f07ba2e81fc69.png)
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d97a953141d4d5c8482835033ce745ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471d5f90b586243d9ca0803fec43a284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd594e99f82b7736c44e18b2721e607f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fcc436c8a923f41424a77eb86b89a68.png)
(Ⅰ) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c807f595f7ba9f64e5fa7c99ade2b724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6c8b2a543df633d7ec8a3bd3c1ebb8.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29a580395c016e9579d96a628880194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f88173ef0c29bedd0155b7893d2474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56249d43922ff1f5c70f07ba2e81fc69.png)
![](https://img.xkw.com/dksih/QBM/2012/2/21/1570759817920512/1570759823384576/STEM/43491f367ead42459b8c7aa00925143a.png?resizew=12)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
12-13高一上·云南玉溪·期末
名校
7 . 已知
.
(I)判断
的奇偶性;
(II)
时,判断
在
上的单调性并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00d873fa63ba3930b602468de597769.png)
(I)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(II)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
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2011高一·山东德州·学业考试
名校
8 . 设函数
,
(1)求证:不论
为何实数
总为增函数;
(2)确定
的值,使
为奇函数及此时
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d28fd96a55f935ee1528bb1047f6fa.png)
(1)求证:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2010·上海徐汇·高考模拟
9 . (本题满分16分;第(1)小题5分,第(2)小题5分,第三小题6分)
已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6b7a930af6aef76909412647688ebd.png)
(1)判断并证明
在
上的单调性;
(2)若存在
,使
,则称
为函数
的不动点,现已知该函数有且仅有一个不动点,求
的值;
(3)若
在
上恒成立 , 求
的取值范围.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6b7a930af6aef76909412647688ebd.png)
(1)判断并证明
![](https://img.xkw.com/dksih/QBM/2010/4/30/1569710051131392/1569710056415232/STEM/3eb6773db43c4a2f8038a763574da9d8.png)
![](https://img.xkw.com/dksih/QBM/2010/4/30/1569710051131392/1569710056415232/STEM/a4db33369fbd4af4ab2257ebe698a3f8.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82754353d23aaa9a5fd2437c31e872d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://img.xkw.com/dksih/QBM/2010/4/30/1569710051131392/1569710056415232/STEM/e5eac1f55ec340959f5985a5d610d65a.png)
![](https://img.xkw.com/dksih/QBM/2010/4/30/1569710051131392/1569710056415232/STEM/a4db33369fbd4af4ab2257ebe698a3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次