1 . 若方程
的两个根分别是2,3,则方程
的根分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43e49552a5099a8b2a442247c65a243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567a447426add368efd0199c1bab8ab6.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-05-28更新
|
31次组卷
|
2卷引用:贵州省铜仁市第八中学2023-2024学年高一上学期期中考试数学试题
名校
解题方法
2 . 已知两个单位向量
和
的夹角为
,则向量
在向量
上的投影向量为( ).
![](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/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 对于函数
,有以下4个结论:
①函数
的图象是中心对称图形;
②任取
,
恒成立;
③函数
的图象与
轴有无穷多个交点,且任意两相邻交点的距离相等;
④函数
与直线
的图象有无穷多个交点,且任意两相邻交点间的距离相等.
其中正确的个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd17e2b067ced2b9be59cc799714818b.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
②任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810e8fa5cf17ae94a41803772c488726.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
其中正确的个数为( ).
A.1 | B.2 | C.3 | D.4 |
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名校
4 . 已知点
、
、
, 过点C的直线l与线段AB有公共点,则直线l的斜率k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16a46f03535c5af872fa8fa9f21a431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64196fcc78c3d4e076339b262ad91dd.png)
A.![]() | B.![]() |
C.![]() | D.以上都不对 |
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名校
解题方法
5 . 已知
或
,
,且
是
的充分不必要条件,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6970d456fe9415850866c2b83287cb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a39463a8260de5c695ee4c444177dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 一个矩形的周长为
,面积为
,则下列四组数对中,可作为数对
的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e06080f85d0ce44ef60224b84d2ad5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 若集合
,则集合
的子集共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf8354e6e7315942d750045903e1536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.2个 | B.3个 | C.4个 | D.5个 |
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名校
解题方法
8 . 设函数
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ae6b8fcc9b1234a859f1a1a1ac43c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb0a356570b7d752cbf880ab31fd2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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9 . 如图,有一古塔,在A点测得塔底位于北偏东30°方向上的
点处,在A点测得塔顶
的仰角为
,在A点的正东方向且距
点
米的
点测得塔底位于西偏北
方向上(A,
,
在同一水平面),则塔的高度
为( )米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
10 . 已知
为虚数单位,则复数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8afe242bacb21d2281a38160c665f7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次