名校
1 . 已知
且
,函数
,记
.
(1)求函数
的定义域
及其零点;
(2)若关于
的方程
在区间
内仅有一解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150cc0064ebcb10bab5e1f6264f3222e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62564bba9a5cfd6cec8047446686350b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff357a3334fc8eef20035365e7f7f18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ae66c5401deed7341470ca37800463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-04更新
|
614次组卷
|
10卷引用:甘肃省会宁县第一中学2018届高三上学期第一次月考数学(理)试题
11-12高一·全国·课后作业
名校
2 . 甲、乙两人解关于
的方程:
甲写错了常数b,得到根为
,乙写错了常数c,得到根为
.求方程的真正根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d4c1e2788a47a1a169831855c98048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f204173950ca09c309037fe4d1db75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c20870e7da4e25cf3094c79ae3de850.png)
您最近一年使用:0次
2016-12-02更新
|
1226次组卷
|
6卷引用:上海市实验中学2016-2017学年高一下学期期中数学试题
11-12高三上·山东济南·阶段练习
名校
解题方法
3 . 已知定义在实数集
上的奇函数
有最小正周期2,且当
时,
.
(Ⅰ)求函数
在
上的解析式;
(Ⅱ)判断
在
上的单调性;
(Ⅲ)当
取何值时,方程
在
上有实数解?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba4fd0990bf06bb09edf1d946be657e.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(Ⅱ)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(Ⅲ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7d09233dda337cccf16b2a47f8fa07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
您最近一年使用:0次
2011·安徽·三模
解题方法
4 . 定义在
上的奇函数
有最小正周期
,且
时,
.
(1)求
在
上的解析式;
(2)判断
在
上的单调性,并给予证明;
(3)当
为何值时,关于方程
在
上有实数解?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff133c17652425c22f0b367e002797df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d28075e411a1534109d97eb4b076.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8f1677070e74433cf6e6474f0df25c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
您最近一年使用:0次
2016-12-03更新
|
906次组卷
|
6卷引用:湖南省衡阳县第三中学2018届高三上学期第一次月考数学(理)试题
湖南省衡阳县第三中学2018届高三上学期第一次月考数学(理)试题(已下线)2012届安徽省师大附中高三第三次模拟考试理科数学试卷(已下线)2014届湖北省荆门市龙泉中学高三8月月考理科数学试卷2014-2015学年重庆一中高二下期末文科数学试卷2019年浙江省普通高中学业水平名师预测卷(三)江苏省南通市启东市吕四中学2019-2020学年高二下学期期初数学试题
名校
5 . 设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bb11f94f1e581e4fccfcae5fdf3bfa.png)
为实数,且
,
(I)求方程
的解;
(II)若
满足
,求证:①
②
;
(III)在(2)的条件下,求证:由关系式
所得到的关于
的方程
存在
,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bb11f94f1e581e4fccfcae5fdf3bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e14206c7d228a7c2259a7b27da8813.png)
(I)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94345694d4215284c41f87146795ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbe09005586c6e59ddbeb54b8921a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff7afea678fdc4a1f67fe512befd973.png)
(III)在(2)的条件下,求证:由关系式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d307f01b66220ce792315b4faf065f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff01ea0e6ccc86a65e27732517bcbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49bec607ab21ed4d9aebf42081fedbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb402fd625d6d6060a48cdaef7a1de3e.png)
您最近一年使用:0次
2018-12-21更新
|
506次组卷
|
3卷引用:2016-2017学年四川省简阳市高一上学期期末检测数学试卷
名校
6 . (Ⅰ)证明方程
内有唯一一个实数解;
(Ⅱ)求出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6310e7f6c83def8dddaf24009ce7efb.png)
的零点(精确到0.1).
参考数据:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c373e925843e6f818cf71ba0ea62b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5515b964cea4a6fd610f73c863c78ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9e686becad51b36343a230efa32551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675401d228b69700fc49035ba6073c51.png)
(Ⅱ)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6310e7f6c83def8dddaf24009ce7efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15d8ec6ee64abc059a5f98723bde588.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c373e925843e6f818cf71ba0ea62b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5515b964cea4a6fd610f73c863c78ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9e686becad51b36343a230efa32551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5836f050b6e0bbe4369b737274ecb515.png)
您最近一年使用:0次