1 . 若将函数
的图象向右平移
个单位长度后得到函数
的图象,且
为奇函数,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b39952f7eae7b5b2593f141c2e1fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4145ac17697bc0f91225af690eeeff0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知函数
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abed9e9278a90b492a0ab03858584d7.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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3 . 将角
的终边绕坐标原点O逆时针旋转60°后与130°角的终边重合,则与角
终边相同的角的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8b65c1ea9adcd350b7225053f28349.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 在如图所示的单位圆
中,当
的取值范围为
时,
的“古典正弦”为弦BC的长.根据以上信息,当
所对的
的长为
时,
的“古典正弦”为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083479b94380e8d659eff92d10a1989d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
A.2 | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知函数
.
(1)若函数
,且当
时,
有零点,求实数
的取值范围;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c5135167887fd1092057f7d7c2c9d5.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1017814e9883c21b17e43703a7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1e3f55d710b23038928e1cde6e0548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6bba4fae5317676a006246590539f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
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解题方法
6 . 已知函数
.
在区间
上的图象;
(2)求函数
在区间
上的零点个数;
(3)将
的图象先向右平移
个单位长度,再将所有点的横坐标缩短为原来的
(纵坐标不变),得到函数
的图象,若关于
的方程
在
时有2个不等实根
,求实数
的取值范围和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69dc53cd7d3d3edad18ff6b696cef407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c195698ac387fe53b3b1e0248a1fcc92.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43df1e101157674bde5da4e4a292bdcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c195698ac387fe53b3b1e0248a1fcc92.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91a09da1efd0f599dd4682f2284822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed33229aea12f44f7dd64fd14882b7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebb6b1d1bda9fc97bd8860513dbccc2.png)
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解题方法
7 . 已知
为第二象限角,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1dbf53d2a81337138c8e4cdfa4c2416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 若函数
的最小正周期为
且在区间
上单调递增,则
的解析式可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe386ad25a4c1cce633ed4e129127047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知函数
的部分图象如图所示,若点P,Q为
的图象与直线
的其中两个交点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e499323571281c119df355223866e0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3bda8ef2011592b974daad1d89baef8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 如图,一摩天轮的半径为50m,最高点到地面的距离为110m,该摩天轮按逆时针方向匀速旋转一周需要
.一游客在摩天轮的舱位转到距离地面最近的位置时进舱,由此接着转动
后,该游客距离地面的高度为__________ m.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23450b6813cd3be44fd92c6dc61e446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962a71e2295bc695d53cdf665d2a16d3.png)
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