解题方法
1 . 求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6159fc20b850c833647374fef71106.png)
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2 . 已知
.
(1)求
的定义域和值域;
(2)判断并证明
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd54ec804218ea006591d26241b1f667.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
3 . 比较下列各组中两个值的大小.
①
.
②
.
③
.
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d73c3ac0ff230ecd51184e3febd6daa3.png)
且
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f877882aac454cd1765131887ef6838.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7400be0e431b5b6d4e21fdbac32fc2e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c71b4af0907700631e19cb24bf38b1.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d73c3ac0ff230ecd51184e3febd6daa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
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解题方法
4 . 求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf54e2b12a8b5281f00f3b0cfb458096.png)
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5 . 当
,且
,
时,下列等式成立吗?如果不成立,请举一个反例.
(1)
;
(2)
;
(3)
;
(4)
.
![](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/cd7bba058b2e191718d59debbe97a73f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a0e1f492a4740e138262d75e122fd9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f440805e924a2e34c6f76984f3ed3812.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2830998164c39fce0aec1b5e5d0b55f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c8ab747ad779402bc698d9f6552537.png)
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6 . 已知
,
,用
,
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bf505ecc15407aba0857a1cdb36be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646bb054d4464c8709beb70852692214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f239b96658ab017dcff1ac903a54d6.png)
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7 . 求下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d82ae57af685dd51f06ccf19baafde.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c0a58266a9b2183716a19453050947.png)
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解题方法
8 . 比较下列各组数的大小:
(1)
与
;
(2)
,
,
;
(3)
与
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d21d7218d62c69f3cc5fd5413e614c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42250decce85c6b91f1f95de79c6dc72.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ed4f6e40d82ba48600058a1603147c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7be64dd69c7ab1bc6873d046100145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436abef691c07f0442a47d6a91f11e04.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ad47bb791b01cd01600cacfa89e200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff0d26c54681d8e7e166217f22a5842.png)
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解题方法
9 . 比较
与
(
且
)的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f76299c359e7491972e9f46fe8cedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc22571a3a84eb7553762a31471df65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1138b8016e57ce9dc71f6bef45dfecb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
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解题方法
10 . 解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64a336f635e880ac46641c8189222bc.png)
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