1 . 设
,
,
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3369e4d192841cbb6f87de1800a8461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaafb734a9aa5734f8d15025f109e581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa535449dd5d22bdda16b92d0a83187f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-18更新
|
259次组卷
|
2卷引用:北京市延庆区2022-2023学年高一下学期期中考试数学试题
名校
2 . 两个曲线方程
:
,
:
,我们可以推断出它们的性质,其中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b002dd15089cfa7bc92316391f4a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633fad93028b6fdaf6a1829c2af61100.png)
A.曲线![]() |
B.曲线![]() |
C.曲线![]() ![]() |
D.曲线![]() ![]() |
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3 . 已知直线
的一个方向向量为
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2d0d57360f280baa3e59ff34b2235a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 对于任意实数
,
,
,
,命题 ①若
,
,则
;②若
,则
;③若
,则
;④若
,则
;⑤若
,
,则
.
其中真命题的个数是 ( )
![](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/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef20073a12bab727faa217718b63414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34c5832f3fe28f48a924854cb8814ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cbc322861846709c08c7f1da746848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f50ce6b511e6b928796e048fc7fa5c.png)
其中真命题的个数是 ( )
A.1 | B.2 | C.3 | D.4 |
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解题方法
5 . 如图,在正方体
中,点
是线段
上任意一点,则
与平面
所成角的正弦值不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/19/a78e20c8-6052-4816-9c86-ee1cec0a35d9.png?resizew=168)
A.![]() | B.![]() | C.![]() | D.1 |
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6 . 若函数的定义域为
,值域为
,那么函数
的图象可能是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 下列函数中定义域为
,
,当
时,都有
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ba6d93a671ca21730facc7fbf052c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580c300d1699fc2145c914a0c99ae585.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 点
到直线
的距离最大时,直线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a18deb8273ee656d1261766b469ee2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9c9f542d3db74c13e758bf65e60b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知向量
,则
的位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e669cb00142327abdd0e371680b4c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
A.垂直 | B.平行 | C.异面 | D.不确定 |
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10 . 圆
与圆
的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e25b317906ca42ab1c73779cb462ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66678576cdb93236aa2e373e2ea6984f.png)
A.外离 | B.外切 | C.相交 | D.内切 |
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