名校
解题方法
1 . 已知函数
.
(1)画出函数
的图象,并写出
的解析式;
(2)设
,
(i)求出
的零点,并直接写出函数的单调区间;
(ii)若
有四个不同的解,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d70b987e89d64672e35aa5d013440a3.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bd25eabf15b903ae6b8e32d05c1359.png)
(i)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349dc0db5cbfa9f554bb3620d7b756f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
您最近一年使用:0次
2022-10-20更新
|
274次组卷
|
2卷引用:北京市顺义牛栏山第一中学2020-2021学年高一上学期期中考试数学试题
解题方法
2 . 设函数
(
且
)是定义域为
的奇函数.
(1)求
值;
(2)若
,试判断函数单调性,并求使不等式
恒成立的
的取值范围;
(3)若
,设
,
在
上的最小值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5a009e235eaca4065de097257ebe35.png)
![](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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f54ecfa11026d97c8d315e55e0d34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dce64779718e0e75c9f26746eaf631f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0e5e3f3477931e7c15cf609b422410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683a34e929399278f319421486390cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2d4a3b2f13388f3c99074d24ebfc98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
3 . 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
|
505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
4 . (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