解题方法
1 . 已知函数
,则关于
的不等式
的解集为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311f3e37df87ee30884645c0729553c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc549b5bc2655d7883184d1ed1f44c8.png)
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解题方法
2 . 设函数
表示不超过实数
的最大整数,则函数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216911d8b6e9aa5e6e401f45b7660d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff16e4ab30fec5aa902da7cc553d484.png)
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3 . 函数
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe2520f1cc721ecbda5a0c39707c2a4.png)
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4 . 函数
在
上的最大值与最小值之和为
,则a的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2e278fa2af1abd628a432b0a9abe36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
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5 . 已知函数
满足
,设
是方程
的两根,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b52f7aca4639862fe0b2b7197f17d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29181ad1348e3dcffc4bece201d457a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
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6 . 函数
,的值域为
,且
,则实数
的取值集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a33a6ade99b08964df3b2c81c62ddd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e17a7b7c34a50c354b159156cd8ebec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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7 . 设函数
的反函数为
,且
的图象过点
,则
的图象必过点______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803e878a0384869f4ef5fa672574884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
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8 . 对
,定义符号函数
:当
时
;当
时
;当
时,
.记点集
,点集
,点集
围成的区域的面积为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5341631cc2c6c07404fd05cfd5f6542a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1896f977c8276c08e3cc881724a14256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff04454d9182598682e1371d749ca35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6363a88ca7ac2a145b3d924d4b1379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bb3252086e273b9eb3f017811b2ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb738374fe3bcb30d9d7f250298c8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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9 . 已知
,则
的大小关系是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc155eb1d9b17abf2a7858f07146f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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10 . 现定义
且
,若
,则集合
可以是______________ (写出一个即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45646f1d1ef972f499b10300cb3b7ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f1e3675e0fa3b790c416a751af63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a60afea679467c3ec824b96c7aa1b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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