名校
解题方法
1 . 已知平面向量
,
夹角为
,且满足
,
,若当
时,
取得最小值,则
( )
![](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/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7c6e69895574db29f6326bd82f21e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ca1759fe015f8b8eb441c9001e24ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2027974bcdb11897eddf5689a6b962c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96baee807c43e1a7b7feacf142813e8b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-09更新
|
546次组卷
|
4卷引用:四川省凉山州2024届高三第三次诊断性检测数学(理)试题
四川省凉山州2024届高三第三次诊断性检测数学(理)试题江苏省宿迁市泗阳县实验高级中学2023-2024学年高一下学期第二次调研测试(5月)数学试题湖北省襄阳市第五中学2023-2024学年高一下学期5月月考数学试题(已下线)专题2 以平面向量数量积为背景的最值与范围问题【讲】(高一期末压轴专项)
2024·全国·模拟预测
名校
2 . 过坐标原点
向圆
作两条切线,切点分别为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92781b69ae4064826dc6a2691449515b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5887dddfba1877cb8a49294b43204ae2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知直线
与圆
交于
,
两点,记
的面积为则
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2ed91cf59bf8bb6c32c47393a9f386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab468a0448699f70470931b66a6cfcb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d76a73553016ef953653c8d92cd14d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed294cd6350bf4bb56ee360d24ab840.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
解题方法
4 . 凉山地区学生中有50%的同学爱好羽毛球,60%的同学爱好乒乓球,70%的同学爱好羽毛球或乒乓球.在凉山地区的学生中随机调查一位同学,若该同学爱好羽毛球,则该同学也爱好乒乓球的概率为( )
A.0.4 | B.0.5 | C.0.8 | D.0.9 |
您最近一年使用:0次
5 . 摩天轮是一种大型转轮状的机械建筑设施,游客坐在摩天轮的座舱里慢慢地往上转,可以从高处俯瞰四周景色.某摩天轮最高点距离地面高度为120m,转盘直径为110m,设置48个座舱,开启后按逆时针方向匀速旋转,游客在座舱转到距离地面最近位置进仓,转一周大约需要30min.某游客坐上摩天轮的座舱10min后距离地面高度约为( )
A.92.5m | B.87.5m | C.82.5m | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 数列
满足
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdd1883cc87c87dbc38f64c8d98e716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b37aad30364ba61218231d58ac0274d.png)
A.2565 | B.2575 | C.2585 | D.2595 |
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,
,若
,且关于x不等式
在
上恒成立,其中e是自然对数的底数,则m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e16b4509adc82a16d798aecab1a8f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb4c86e61ca983ffcaad2cd28284fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82660976e3c0e1f31d8ba05bf4ef1f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd50020c0e3198d4a6b2d26a413b1b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知命题“
,
”是假命题,则m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd9fa961e8187f37fc79428c8aa56cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知正数
满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ae4d4b27c467f928bc36aebd488be5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff18e4d66fe16878da060b41f17280cd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024高三·全国·专题练习
名校
解题方法
10 . 如图,长方体
中,
,
,M为
的中点,过
作长方体的截面
交棱
于N,下列正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/19/9c893096-a6d7-4b4b-b9e2-ee4a8d09960d.png?resizew=173)
①截面
可能为六边形
②存在点N,使得
截面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
③若截面
为平行四边形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d39daec7cf3a79ed85876b9911a0ef9.png)
④当N与C重合时,截面面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ea4ad3b9872d7394d8d78e0e723a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad69ac298990832d5fff82938867b3ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a821db0acc592cb832b949288bbbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e884ca9429486026caa5e2310b0e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/19/9c893096-a6d7-4b4b-b9e2-ee4a8d09960d.png?resizew=173)
①截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
②存在点N,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6da9f598fecf6fcf41cd65b45cbe08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
③若截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d39daec7cf3a79ed85876b9911a0ef9.png)
④当N与C重合时,截面面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ea4ad3b9872d7394d8d78e0e723a3e.png)
A.①② | B.③④ | C.①③ | D.②④ |
您最近一年使用:0次