9-10高二下·江苏扬州·期末
1 . 已知函数
.
(1)若
的定义域和值域均是
,求实数
的值;
(2)若
在区间
上是减函数,且对任意的![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/7ff3dc14cde9408ea0b5f41985de6ba0.png)
,总有
,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/4d1e170be3ba47449cbd2da3fcc88df4.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/a4a3a3db690f410180906f8bf60c0c36.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/c0f4d11387f24b8eac4d4b5f24cb1351.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/dd47576bf8674cb0810cf7f66af96eaf.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/a4a3a3db690f410180906f8bf60c0c36.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/e6ea762ecce6471d9c383866d7e57503.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/7ff3dc14cde9408ea0b5f41985de6ba0.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/a20b767ccccd47d88998bb1aaf5d4475.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/ffd8b0e3e6d6453280866dfe77b4bb7d.png)
![](https://img.xkw.com/dksih/QBM/2012/11/13/1571063542071296/1571063547461632/STEM/dd47576bf8674cb0810cf7f66af96eaf.png)
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11-12高一上·辽宁营口·期末
2 . 已知函数
.
(1)判断其奇偶性;
(2)指出该函数在区间
上的单调性并证明;
(3)利用(1)、(2)的结论,指出该函数在
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b39fb4e708d68fd4bc46c390ae484e.png)
(1)判断其奇偶性;
(2)指出该函数在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
(3)利用(1)、(2)的结论,指出该函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
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11-12高一·辽宁大连·期末
解题方法
3 . 已知函数
满足对一切
都有
且
,当
时有
.
(1)求
的值;
(2)判断并证明函数
在
上的单调性;
(3)解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b161d1fa052b4b7b1d991da282b6bf84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a1ec7bcc711bfc514425c7a976fe8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b530377e3fe56b7988935dd73d9dccd.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
(3)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb33ccd9040a106849d16dd178d98b29.png)
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4 . 已知函数
,若
为整数,且函数
在
内恰有一个零点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df478f38b394d7b1ecfd3ac9d2670c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f9f734c03d04c21edefa08e0acc1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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