名校
1 . 已知函数
.
(1)求函数
的定义域;
(2)若
是第二象限角,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c5120068d4dddf2016d7086c8bb1b9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f7cd1822f2279f526b28b53126cb31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
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解题方法
2 . 已知锐角
中,
,
,
.
(1)求
及
的值;
(2)求
及
面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a56038914d899fd9c7264ed0012ac1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 已知函数
的部分图象如图所示.
的解析式;
(2)求
的对称轴方程;
(3)求
的单调递增区间;
(4)函数
的图象经过怎样的变换能得到函数
的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8bd4c25fa2436946ecc556276445288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c65d71e57e6e7697e2f627dcd58583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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4 . 已知函数
.
(1)写出决定
在
上形状的关键的五个点,在答题卡上完成下表:
(2)求
与
的交点坐标;
(3)若对任意
都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a6fe8d50bccef04c7f8a0a5f915b65.png)
(1)写出决定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
0 | 2 | 0 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857f5e7c24364ed4b52896bd1b12d453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738978e57518f588847eb92c737c2827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d464fc3720846a66fcec38bf75f40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 在半径为
的扇形中,弦长为
的扇形的面积为_____________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee7b9615bf5d5ea81f42b90da7bacc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee7b9615bf5d5ea81f42b90da7bacc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12514d3a57dde2dce60eaa2a292de8c.png)
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6 . 已知函数
若
,
,
互不相等,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0346a90d3b75dd702206e0f05043306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知
.
(1)化简
;
(2)若
是第二象限角,且
,求
的值;
(3)求函数
的定义域和对称中心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff85b428f08009147c9ca23ac4b5282d.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb5a8e9ff0a3919182e759b63ab5431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bb4bfb1b252e730e4b78734ca4f41e.png)
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8 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57df76f32c22a0e6c675c23b0bb63f33.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57df76f32c22a0e6c675c23b0bb63f33.png)
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9 . 已知
,函数
.
(1)当
时,求
的最大值和最小值,以及使
取得这些值时
的值;
(2)当
时,函数
的最大值是
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83994af8bb2e069277b79a182034c269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017fed73ba579435a22a29ef843c9124.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083abc82a8a152338cf274fc65092de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987ecbd076d89da5ef1e2561d79d857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987ecbd076d89da5ef1e2561d79d857.png)
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10 . 不等式
的解集为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f81da53157f2bdb3c6104363e6703ae.png)
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