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1 . 某调查机构对某地快递行业从业者进行调查统计,得到快递行业从业人员年龄分布饼状图(图1)、“90后”从事快递行业岗位分布条形图(图2),则下列结论中错误的是( )
A.快递行业从业人员中,“90后”占一半以上 |
B.快递行业从业人员中,从事技术岗位的“90后”的人数超过总人数的20% |
C.快递行业从业人员中,从事运营岗位的“90后”的人数比“80前”的多 |
D.快递行业从业人员中,从事技术岗位的“90后”的人数比“80后”的多 |
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3卷引用:四川省遂宁市射洪中学校2024届高三下学期三模理科数学试题
2 . 中国数学家华罗庚倡导的“0.618优选法”在各领域都应用广泛,0.618就是黄金分割比
的近似值,古希腊的数学家毕达哥拉斯通过研究正五边形和正十边形的作图,发现了黄金分割率,黄金分割率的值也可以用
表示,即
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8382dcdb655ab1d049f8dba22fa467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3caf448beca2df4d2427360e93b599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2268e01c5ae717b00e740bea1f1cc75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d570b6ab83255a9c08707b4eeea81d40.png)
A.![]() | B.1 | C.![]() | D.![]() |
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解题方法
3 . 已知向量
,
,且
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d4806428d45917cde867c566fc5f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe0cb67a899059fe7d775b446bf6862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49da2ac3664b1a207d4804a32d396783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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4 . 设
是
内一点,且
,定义
,其中
分别是
的面积,若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58ff77bc49f127a27e0af56573944c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801d50da9a58b1b1d48141e6ad01c1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d201ead127c65cc0bc153fdb445e420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4d96a8d81b2cd450bd92e7a9ec791f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f257b71e2b7886aadf7f1ebc809c10b1.png)
A.![]() | B.18 | C.16 | D.9 |
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5卷引用:四川省南充市南部中学2023-2024学年高一下学期第二次月考数学试题
四川省南充市南部中学2023-2024学年高一下学期第二次月考数学试题福建省三明市六校2023-2024学年高一下学期期中联考数学试卷(已下线)核心考点2 平面向量的数量积 B提升卷 (高一期末考试必考的10大核心考点)(已下线)核心考点3 解三角形与实际应用 A基础卷 (高一期末考试必考的10大核心考点) (已下线)【高一模块一】难度7 小题强化限时晋级练 (较难1)
名校
5 . 如图,在
中,点
是
上的点且满足
,
是
上的点且满足
,
与
交于
点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f750b00c80522cbf882b082def2ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acb709a36f14162706225313b154704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734c5f0ab3f244ae2ce1ba7b618cb0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知函数
.
(1)若函数
在
上单调递减,求实数
的取值范围;
(2)若函数
有两个极值点
,
,
①求实数
的取值范围;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0554a7c12abe88262327d65e9289a9f8.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd50020c0e3198d4a6b2d26a413b1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ccba65da7c189cad6dfa9f6a5c82f7.png)
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2卷引用:四川省内江市资中县第二中学2023-2024学年高二下学期5月月考数学试题
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解题方法
7 . 已知三个复数
,
,
,且
,
,
,
所对应的向量
,
满足
;则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db439eae71afd7b462a07c61d3861330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb7982e6e8af1887c360ac901143840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342546266d9cfe028e7f471b96e92212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17a57d4e598f772b9cbebd54d153289.png)
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3卷引用:四川省平昌中学2023-2024学年高一下学期第二次月考数学试题
名校
8 . 如图,在
中,
,
,
,点
为
的中点,
,
,
与
交于点
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff9ddbaa7d139bbe9d1ad398fcd5fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0fd67384b268641caef4195211607d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b50bb45b59abcd72c022e69d0f5f54.png)
A.当![]() ![]() | B.当![]() ![]() |
C.当![]() ![]() | D.若![]() ![]() |
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3卷引用:四川省平昌中学2023-2024学年高一下学期第二次月考数学试题
四川省平昌中学2023-2024学年高一下学期第二次月考数学试题(已下线)期末测试卷01-《重难点题型·高分突破》(人教A版2019必修第二册)云南省大理市2023-2024学年高一下学期6月质量检测数学试题
9 . 已知
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1727344b2d5232181766bcb66fedb6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f59a866c909c0592587196eada34e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:四川省成都市第七中学2023-2024学高一下学期6月月考数学试题
10 . 崇丽阁之名取自晋代左思《蜀都赋》中的名句“既丽且崇,实号成都”.如图,在测量府河西岸的崇丽阁高
时,测量者选取了与塔底
在同一水平面内的两个测量基点
与
,并测得
米,在点
处测得塔顶
的仰角为
,则塔高
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3d264801530399b0427876bd2a69e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:四川省成都市第七中学2023-2024学高一下学期6月月考数学试题