1 . 下列四个函数中,以
为最小正周期,且在区间
上单调递减的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a8ce8dfe80dcdf2074a585ef575f9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知
且
,则下列函数的图象过定点
的有( )
![](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/5265d99095b635f62c7915298ec0e963.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
,
,设
.
(1)求
的定义域;
(2)判断
的奇偶性,并说明理由;
(3)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35dd621776dee688a0175a1abe39c258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4741b2cc342a055aefb2d825e45ce77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc2395f479a7f620dc7a8168f87adef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
4 . 为了预防某种病毒,学校对教室进行药熏消毒,室内每立方米空气中的含药量
(单位:毫克)随时间
(单位:h)的变化情况如右图所示,在药物释放的过程中,
与
成正比;药物释放完毕后,
与
的函数关系式为
(
为常数),根据图中提供的信息,写出从药物释放开始,
与
之间的函数关系式______ .据测定,当空气中每立方米的含药量降低到
毫克以下时,学生方可进教室学习,那么从药物释放开始,至少需要经过______ 小时后,学生方能回到教室.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d66a5fa78bb69f5f949b3f931385969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2c5ade080f6c0f3480f9b8c5366fdb.png)
![](https://img.xkw.com/dksih/QBM/2024/1/17/3413162685145088/3413777178402816/STEM/d8eae67e6b054622be5de98d7f9b21db.png?resizew=182)
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5 . 函数
的图象的相邻两支截直线
所得线段长为
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdb09cf73c320718b062859ad568f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277392cfe515c2de33cdbcfe5244c6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d61f4d0c18f5565f2641da52e7ed4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
6 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50724cb177cc1a0bbfee3228b37f07e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df80ff61f87d89256e572c1611ec8a65.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知
,且
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1098ca7602ae66ee35e1028419d8871a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005c5da40a74831a5604c8666660533f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124bcd70775c9944d404cf0244b007af.png)
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解题方法
8 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065924bee8cf05757a5fa89641a6787a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350d89f269bc29e3193d6f97e7557014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149b75a27eea08d7c97c518e53ec242d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 若点
是角
终边上一点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05edb9a1a12cdc10895fd309859db445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ea05cb92b3a76fef530d2ddb0d8b36.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知双曲线
,则C的一个焦点坐标( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02eff052c8d0fd1f3dd13a316ed3b0df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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