名校
1 . 抽样统计得到某班8名女生的身高分别为
,则这8名女生身高的第75百分位数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca5deaeda5299dfaf32a671591c3f8d.png)
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2024-06-03更新
|
786次组卷
|
4卷引用:河南省信阳高级中学2023-2024学年高一下学期五月月考数学试卷
河南省信阳高级中学2023-2024学年高一下学期五月月考数学试卷云南省曲靖市2023-2024学年高三第二次教学质量监测数学试题(已下线)专题14.1统计(2))-重难点突破及混淆易错规避(苏教版2019必修第二册)江西省部分学校2024届高三下学期5月月考数学试题
名校
解题方法
2 . 如图,在三棱锥
中,
分别是侧棱
的中点,
,
平面
.
平面
;
(2)如果
,且三棱锥
的体积为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2c4f20594ab1443c0d8dcce42895f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99ef32b30524326ce26f117cd7f5a91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547948c718075998e5995cfc6dcc4f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2ac20af67f3e0891be3102d70557ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffef235354f88fe062d31813e1fe56f.png)
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2024-05-28更新
|
1222次组卷
|
3卷引用:河南省信阳市新县高级中学2024届高三4月适应性考试数学试题
名校
解题方法
3 . 两个非零向量
、
互相垂直,给出下列各式:
①
;②
;③
;④
;⑤
.
其中正确的式子有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880c690f1ec31490b96be592c2c748b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e332fdb0d734d6f3015f88ce4d8f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef84d275246c94cd7d9c983231210fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7058f4df5f5789ef6d612e0d8b9e23fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4154cb6dff75b54549bfa7c9ca8e48f.png)
其中正确的式子有( )
A.2个 | B.3个 | C.4个 | D.5个 |
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4 . 底面边长为6的正四棱锥被平行于其底面的平面所截,截去一个底面边长为3,高为3的正四棱锥,所得棱台的体积为________ .
您最近一年使用:0次
名校
解题方法
5 . 抛物线
:
的焦点为
,直线
,
过
分别交抛物线
于点
,
,
,
,且直线
,
交
轴于
,
,其中
,则
点坐标为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e258dc5c8b4ea30bca80a56098065402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
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6 . 设
、
为复数,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2024-05-27更新
|
362次组卷
|
2卷引用:河南省信阳市新县高级中学2024届高三考前第六次适应性考试数学试题
名校
解题方法
7 . 已知三棱柱
满足
,
,
,则异面直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016b3243036ee16050859296bbecc699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e90564383540034a77d01413bbe9391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e7d7ab05ecf2fff6c04df5a10dbbcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
8 . 已知函数
,
且满足
,
,对任意的
恒有
,且
为
的极值点,则下列等式成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857a9c5edb2cd23cca24bfbcb9fdb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca83d5dea2d5c02ac18a9c9496ca57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722f374fcc31e9223522ae551b487ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc977b727f526b6d8bd7ede00111c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d96f8ef8f59ee78b277adefb311eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49a78e59bbba60b0d22f2616480987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5471cd336689527ee568f69b983b3d45.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)已知
对任意
恒成立,求实数
的取值范围;
(2)已知直线
与曲线
,
分别切于点
,
,其中
.
①求证:
;
②已知
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b5178b7395ee353cb63df3028c51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c0ab3e2d7698f082854bafe4174dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4197070db34f0419b6d85eed4cec9fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270bb08b90f72d5671ab8225f356c43.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f61bb43900bfc8bf7760185b4e0bbb.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9268d9bfd0e22baf5956a2d6fb07ed6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153c6af699ce31b283e79b973e1927af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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10 . 复数
在复平面内对应的点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6150fca7d7bdeb01bcbddc11591b029c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8833ba3833480237f47774984958c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6150fca7d7bdeb01bcbddc11591b029c.png)
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