名校
解题方法
1 . 在平面直角坐标系中,已知点A坐标为
,若动点P位于y轴右侧,且到两定点
,
的距离之差为定值4,则
周长的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c865504bae15a800afe6fa5b635d7820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f24ad677d24612c937448cb583614d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3377c0c2bcd334a93133cdd37f34ed88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa65e9e7125c4bd360cf71ea4439e2c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知单位向量
,
满足
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a140974b86dc182f1509aaa04040315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 由于天气原因,夏季相关部门加大对水果储运环节的抽检力度,坚决杜绝腐烂变质的水果流入市场,下表是对运到仓储点的某种水果进行抽检后得到的数据.
若从运到仓储点的四车水果中随机抽出一个,则估计这个水果不能上市的概率为( )
车辆 | 甲 | 乙 | 丙 | 丁 |
抽检数量/个 | 35 | 60 | 50 | 55 |
合格数量/个 | 32 | 56 | 47 | 53 |
A.0.06 | B.0.08 | C.0.1 | D.0.12 |
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解题方法
4 . 若
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a540aed969766df5f3251c74e87b772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642138902a573e99299e5377ca432c17.png)
A.2 | B.3 | C.![]() | D.![]() |
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5 . 正方体
的棱长为2,
分别为
的中点,
为底面
的中心,则三棱锥
的体积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e916f630da757af38afa6db6cd2a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3487917a3a52c39b7251a8402869249a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 向量
在边长为1的正方形网格中的位置如图所示,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
A.-7 | B.-1 | C.1 | D.7 |
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7 . 已知集合
,
均为集合
的子集,则
表示的区域为( )
![](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/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd79435e4a09aad8033c9032a889b1f.png)
A.① | B.② | C.③ | D.④ |
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解题方法
8 . 设函数
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a126474286ec9a49454b092bee25dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868383411f1e0d095e9c6a0a60dbd1d8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 若
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b72d0c21fd758368654a7116799812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e7a8d98249895d7f6e0926789d37ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9da6f152a33ef475161c9e396647225.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 设直线
与双曲线
相交于
,
两点,若线段
中点的坐标是
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcfc1fd3c1dbd4659a3592384ffe70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f250aa52beae9cd2653684aff047f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
A.![]() | B.![]() | C.![]() | D.2 |
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