1 . 若关于x的方程
恰有一根在
上,则m的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0d81a23ca4754f23dcf0d4dc8a7f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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解题方法
2 . 不等式
的解集为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d78849519f99b4fcf6f5aaee30df7e.png)
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3 . 已知集合
到集合
的映射f满足
,则不同的映射f有_____ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd918566066d1abe9f0d027f7f0bac61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c09fad0d240331ecdb4192ac7894660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85397f0189c67cc8beb90d833e457bd7.png)
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4 . 已知集合
的子集B满足:对任意
,有
,则集合B中元素个数的最大值是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bfa44855262ec0bad08f08ce834affc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c693640f81c5ef544b9beadf44bc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6476f3aaf9334a2cc33ab40cb9a9dbf5.png)
A.1005 | B.1006 | C.1007 | D.1008 |
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5 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d7f4ab455b4f7dbb91059b1fd867e9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8083ba869a421afe6cf588c7893a27a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d7f4ab455b4f7dbb91059b1fd867e9.png)
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6 . 已知集合
,其中
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284470d83a602c0697e46b9c5b9483c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f425b225d1f840fbb0f3a499cbc321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
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7 . 已知函数
,满足:(ⅰ)对任意
,都有
;(ⅱ)对任意
都有
.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d568f65771bdbbf9b5d6a4188546f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/772c871658656926de9754ec28490155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958c91e0cc2cf4f17acb778de21846b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c199c596534dd80309fc1caf4c96b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ab37b80e606f9cbe65e3ec07fafe50.png)
A.54 | B.66 | C.81 | D.89 |
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8 . 设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01fb1249d6e581d327f75af8dfb1505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199f7a0bd8113367e4dde4e1cea37f18.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 设
为定义域为
的函数,对任意
,都满足:
,
,且当
时,
.
(1)请指出
在区间
上的奇偶性、单调区间、最大(小)值和零点,并运用相关定义证明你关于单调区间的结论;
(2)证明
是周期函数,并求其在区间
上的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a3556b7e9458ec54d4cf1de17a5649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ea832b11f5a84b9bf3020271480631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24e7a6926a39f7be015218876573b63.png)
(1)请指出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd765b568d695310edf942421a1cf499.png)
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10 . 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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