已知函数
,若函数
满足
=-![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/42c20b110cff4c2e89058b7dd7b250d0.png)
(1)求实数a的值. (2)判断函数的单调性
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/592b55da167042d18ee9083101e55a1b.png)
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/42c20b110cff4c2e89058b7dd7b250d0.png)
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/dd3e17161c6d457fbe9189a09a880cb4.png)
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/42c20b110cff4c2e89058b7dd7b250d0.png)
(1)求实数a的值. (2)判断函数的单调性
10-11高一上·内蒙古赤峰·期中 查看更多[2]
更新时间:2016-12-02 00:18:07
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【推荐1】已知
是二次函数,且满足
,
,
.
(1)求函数
的解析式,并证明
在
上单调递增;
(2)设函数
,
,
,求函数
的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b04db7c3436308adcfda558655325b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24e91e32e8e245433237758cdb72922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c53589a6a1083e6b5079eb3673666a5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99379be7fb8c0a15477f3a4937e569ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
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【推荐2】已知定义域为
的函数
是奇函数.
(1)求
的值;
(2)判断并证明函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fe37437003b658eeb284e0dd92c7a4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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适中
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解题方法
【推荐1】已知函数
是定义在R上的奇函数.
(1)求
的值;
(2)已知函数
在
上单调递增;
①判断
在
上的单调性(直接写结果,无需证明);
②对任意
,不等式
恒成立时,求
的取值范围;
(3)设函数
,求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d530806804d720e84a03d54cc6f3a2f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9414348d57c7fc77dcfa8f0744cb0c9.png)
①判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f4407e5c044d1bbce3b056f88d6fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb86a4c724b65cc210d341607f69479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
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解答题-证明题
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解题方法
【推荐2】已知函数
,
,
(1)若函数
是偶函数,则求实数
的值;
(2)根据(1)的条件,判断函数
在
上的单调性,并加以证明.
(3)记
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f43b8563070c4f3e8a70257663f2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3352b92939591617942e4701f17cef9e.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae37cac299cbe3ccac181b2175287f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)根据(1)的条件,判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae37cac299cbe3ccac181b2175287f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1454536263804e7394f10359b8a272d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91dbbb6b02fb25dfb00298a8e5db79da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
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适中
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解题方法
【推荐3】已知函数
与
的图像关于直线
对称,函数
.
(1)若函数
是奇函数,求实数
的值;
(2)当
时,若
,且
,求实数
的取值范围;
(3)若函数
在
上是单调函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf7675fc49cbdf3611ac547d85c8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eba83523da4650ea8d1ba8e7ce6be04.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79708de3055b381acdda9a7d20863769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367e788c32187ae2cc97aaa24da1d40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5111ec281a3385f8ad3b846f27e1406f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd85d19db91993ef9835f5505f1bd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f837458bbc1245fdf34ad794932d5b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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