名校
解题方法
1 . 已知函数
,则函数在区间
内零点的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ef4dbd03c3f454f804890076d9ab79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad14579830d0293b1390911cb603eb02.png)
A.1 | B.2 | C.3 | D.5 |
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名校
解题方法
2 . 《九章算术》是我国古代的数学著作,在《方田》章节中给出了“弦”和“矢”的定义,“弦”指圆弧所对的弦长,“矢”等于半径长与圆心到弦的距离之差,记圆心角
,若“弦”为
,“矢”为1时,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1865d71d450db8e7d41d29874dd7c295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d986e174e2285a42c3c4a66b3fd83e.png)
A.1 | B.![]() | C.![]() | D.![]() |
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3 . 已知
,且
.
(1)求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eca7f8e63042b1c98badc0d9e36af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353b4f6ed38b5bd83d2f0fa64d686cef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8c56d09485b718a85ed23f637e2d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a86df8b3934891c1d2e9016f6c4477.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15d37ff33a395f8d35659abf4a34f0f.png)
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4 . 函数
,
的最小正周期是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745f60b45670b85e9fd9d7397132edaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
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5 . 要得到函数
,
的图象,只需将函数
,
的图象( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf2bf2e03dd6d33e03b69c5a318b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/139637feb9604ec0331be72fb94fdc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
A.所有点横坐标扩大2倍,纵坐标不变 |
B.所有点横坐标缩小![]() |
C.所有点纵坐标缩小![]() |
D.所有点纵坐标扩大2倍,横坐标不变 |
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6 . 已知函数
.
(1)求
的值;
(2)求
的最小正周期;
(3)在
中,内角
所对的边分别是
,已知
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54a947c50c29b8c7ee616fa9f9dced0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87f4ef298bdeebf59a0d850aff72c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544c43cf49483a41ff8131edf23d21e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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7 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f69e9e1950074543768e7e066f2be2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知半径为1的扇形
的圆心角为
,则扇形
的弧长等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知函数
为奇函数,函数
.
(1)若
的最小正周期为
,求出
与
的值;
(2)若
在区间
上有且仅有4个最值点,求
的取值范围;
(3)在(1)的条件下,求
的最大值以及取得最大值时x的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b05b05df566411356e9bc5d816a2ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b33fa72b617129146496e19ca2e8a7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0e5e86ec0be2bb2f60965f763cc548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)在(1)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
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10 . 设定义在
上的函数
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa90928d2b99c10f86cd472b590e579f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9850dfbd2bab54356612470fda2e1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-14更新
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423次组卷
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