名校
解题方法
1 . 已知向量
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a035c8861e9fa9369d20d6b531d88dc.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ae0d7b3266f32b6a916b6237b6b838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ed609602a35815d4b57642a65d6790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a035c8861e9fa9369d20d6b531d88dc.png)
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2024-06-12更新
|
1020次组卷
|
3卷引用:辽宁省沈阳市2024届高三教学质量监测(三)数学试题
2 . 在三棱锥
中,
,
,
,
为
的中点,则异面直线
与
所成角的余弦值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e240a6378adf6d23ebf9cc710c9bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb322e81e7d2a672a901039600962316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
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2024-06-12更新
|
802次组卷
|
3卷引用:辽宁省部分学校2024届高三抢分卷(三)数学试题
解题方法
3 . 已知函数
存在两个极值点,若对任意满足
的
,均有
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68c527131297c50eb7237ac4e81b121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54138e6f29c4aaacd0a6cf89d409c526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2755e84aeb379e0117e278f71ca0a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cd1477bb23cb3a95f1483df0c01fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 假设某同学每次投篮命中的概率均为
.
(1)若该同学投篮4次,求恰好投中2次的概率;
(2)该同学参加投篮训练,训练计划如下:先投
个球,若这
个球都投进,则训练结束,否则额外再投
个.试问
为何值时,该同学投篮次数的期望值最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)若该同学投篮4次,求恰好投中2次的概率;
(2)该同学参加投篮训练,训练计划如下:先投
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8dfeb1a37fe9ebefefd522a7c582e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c733a209a0091d418d8f14b7fba88dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-06-12更新
|
397次组卷
|
4卷引用:辽宁省辽阳市2023-2024学年高三下学期二模数学试卷
名校
解题方法
5 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b159de79ab650aaac2a72192073831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-12更新
|
651次组卷
|
4卷引用:辽宁省鞍山市第一中学2024届高三下学期八模数学试卷
辽宁省鞍山市第一中学2024届高三下学期八模数学试卷河南省郑州市2024届高三第三次质量预测数学试题河南省许昌市许昌高级中学2024届高三下学期三模数学试题(已下线)集合与常用逻辑用语-综合测试卷A卷
名校
解题方法
6 . 数列
满足
则称数列
为下凸数列.
(1)证明:任意一个正项等比数列均为下凸数列;
(2)设
,其中
,
分别是公比为
,
的两个正项等比数列,且
,证明:
是下凸数列且不是等比数列;
(3)若正项下凸数列的前
项和为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0bee75d4d83c0b76421fd87113e4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)证明:任意一个正项等比数列均为下凸数列;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f67fc95a626251da11649acb5e1706f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c340d7d093dd4a275ffea4b87cd26827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6268630d5e5288048d32f4aa5c8bc02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c171ff5c2728e7cf00a88f88de14f308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3755d7aa870e2f199d6c12264fc9be86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(3)若正项下凸数列的前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0002f427eded1721f43d60dd0fd3ffe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd419dc0a6580ab97777b2cb8fd7cded.png)
您最近一年使用:0次
2024-06-12更新
|
1142次组卷
|
5卷引用:辽宁省辽阳市辽阳县辽阳石油化纤公司高级中学2024届高三下学期模拟考试数学试题
名校
解题方法
7 . 在平面直角坐标系
中,已知双曲线
经过点
,点
与点
关于原点对称,
为
上一动点,且
异于
,
两点.若
的重心为
,点
,则
的最小值______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e7dd53895e16d6897807a2896fc6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b40db0ba5eceb037bac99acf33f31b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e7915cbe166f565480b4cd8e65064d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7d23d4f032debf57dcb7f40d3c9c53.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,矩形
中,
,
是边
的中点,将
沿直线
翻折成
(点
不落在底面
内),连接
.若
为线段
的中点,则在
的翻折过程中,以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd60c083fb876623162f6291c73ae34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
A.![]() ![]() | B.不存在某个位置,使![]() |
C.线段![]() ![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 攒尖是中国古代建筑中屋顶的一种结构形式,宋代称为撮尖,清代称为攒尖.通常有圆形攒尖,三角攒尖,四角攒尖,八角攒尖,也有单檐和重檐之分,多见于亭阁式建筑,园林建筑.如图所示的建筑屋顶是圆形攒尖,可近似看作一个圆锥,已知其轴截面是底边长为
,顶角为
的等腰三角形,则该屋顶的面积约为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e17ee14bd91bfff409c06fd434f6745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
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解题方法
10 . 已知数列
满足:
,其中
,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457877a6d764f8f5c58ba60f45f0eb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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