1 . 已知方程
表示圆,则k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b351c78b7a9c5eb20cfadb7626a1ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知直线的倾斜角是
,且过点
,则直线在y轴上的截距是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b342d5cb6dd1c84a82f6aca68ed829c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1be9a704175b9d0007658873704d5b1.png)
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3 . 下列函数在定义域上既是奇函数又是减函数的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . (1)已知直线l过点
,且直线l在y轴上的截距
、在x轴上的截距
满足
,求直线l的方程.
(2)在直角坐标系
中,已知圆C:
与直线l:
相切,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8115c09f801cf0bb02293baef7bf137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571585854054fd8eefffda95dea751cc.png)
(2)在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eef98ad2f1498e8b2c85b69f7899243b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 设锐角
的内角A,B,C的对边分别为a,b,c,并且满足
.
(1)求角B的大小;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ea8bb32f9f610a4eab223af13c4fea.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb89ae4455272b3b5f15cf37dc241f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 . 已知圆
.
(1)求过圆心
且斜率为
的直线方程;
(2)试判断直线
与圆
的位置关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f0bea8109b52255920150f77bec382.png)
(1)求过圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(2)试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8a3365e99f926b1dafa901ab232152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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7 . 已知平面
的法向量为
,平面
的法向量为
,则二面角
的大小可能为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43191c7678f2be7fc7177d7505f52f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec9f090fc70c61a87dc5238d1e53493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知向量
,
,
,
.
(1)求
的值;
(2)若
与
同向,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5f2ff531ac73b79490f0b881bd2876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35526e00fd9ba79c09a92f7a0bfaa1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d46318d2345e621eb0b019d84409fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460e5ba67828c57daf2edb497fb52e56.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5388672bc114137673d1a773dfafa93.png)
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9 . 已知函数
,且
,
.
(1)求函数
的最小正周期.
(2)当
时,求函数
的最小值及取得最小值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab3772bf439fc21a515b7fad311e56f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcbc974c6be0ee39c723719f4b0c4da.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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10 . 已知定义在
上的函数
.
(1)求
的值;
(2)判断函数
的奇偶性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7630110d5583d6f49a4c7fb2e597db.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb71ad742b421a7ba62d8c1923d33358.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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