1 . 已知函数
的图象关于直线
对称,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f227bc5bfaaf49ee681a64cb59e740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
A.函数![]() |
B.函数![]() ![]() |
C.若![]() ![]() ![]() |
D.将函数![]() ![]() ![]() |
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2 . 下列说法正确的有( )个.
①若角
与角
为锐角
的两个内角,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②函数
的图像的对称中心为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b30178cf2a252263a371af19101fa6b.png)
③周长为8,面积为3的扇形所对的圆心角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c57a06c477de15520c289e2adabf1.png)
④第一象限角不都是小于
的角,但小于
的角都是第一象限角
⑤若
,且
,则
①若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d3744aa1b193855b1e8c79c3acf78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b30178cf2a252263a371af19101fa6b.png)
③周长为8,面积为3的扇形所对的圆心角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c57a06c477de15520c289e2adabf1.png)
④第一象限角不都是小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140d770d2bcf921a2bc29267fa69aafc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06f37bd322af6e273ceb66bac49a716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9604d031a1bad6472ba6b199576b5f.png)
A.1 | B.2 | C.3 | D.4 |
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3 . 下列大小关系中正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知函数
(1)填写下表,并用“五点法”画出
的图象.
(2)若函数
满足不等式
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11147d3f379cb51f74da077ed2785ee.png)
(1)填写下表,并用“五点法”画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![]() | ![]() | ![]() | ||||
x | 0 | ![]() | ||||
![]() |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/b2c7843f-4dfd-4afb-9549-914186f51fd9.png?resizew=333)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bc978a69f65368d8da9700b526baee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 函数
的图象向左平移
个单位长度后得到函数
的图象,且与
的图象关于y轴对称,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2204c4b459f0c1f95f3f0726b91dc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
6 . 设函数
.
(1)当
时,用
表示
的最大值
;
(2)问
取何值时,方程
在
上有解?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47531fdba8c32e5e88f800ae9db676b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05116b4573cfd112e492d3994ef2b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
(2)问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f6053650ea5ba17aad9550ce293536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05116b4573cfd112e492d3994ef2b94.png)
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7 . 下列函数最小正周期为
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知函数
满足
,且
在
上有最小值,无最大值.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973bd09ae9775d390177e5bc07d091c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ce785fc9066e785417cbb2c6584801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f189ab43482ac4bc98b15388dac69d.png)
A.![]() |
B.若![]() ![]() |
C.![]() |
D.![]() ![]() |
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9 . 如图,一个大风车的半径为8 m,12 min旋转一周,它的最低点
离地面2 m,风车翼片的一个端点P从
开始按逆时针方向旋转,则点P离地面的距离h(m)与时间t(min)之间的函数关系式是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/18/62ee3f7b-027b-4b61-a21b-22def5ff4beb.png?resizew=134)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知函数
的图象如图所示.
(1)求
的解析式;
(2)若函数
,当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce59f0f84271f164e8c2d961c63317a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/4b13402d-6fcf-4da9-bde3-00780f043407.png?resizew=121)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8808d10b42410ea46c9138ce3b2b0fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2ba8f69743d354ec069eea8ef19b0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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