名校
1 . 如图,在正方体
中,
为棱
的中点,
是棱
上的动点(不与端点
,
重合).给出下列说法:
①当
变化时,三棱锥
的体积不变;
②当
变化时,平面
内总存在与平面
平行的直线;
③当
为
中点时,异面直线
与
所成角的余弦值为
;
④存在点
,使得直线
.
其中所有正确的说法是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd809b621a692ed1b237f39171eade7.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae80f09dae8acbe1e5e27bd5c4d8164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
④存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce94aa09a8a51eabdc9dc026299ea62.png)
其中所有正确的说法是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/04c58eab-6cfa-42b7-8b78-192ca0dd53b8.png?resizew=136)
您最近一年使用:0次
2022-11-22更新
|
496次组卷
|
2卷引用:吉林省洮南市第一中学2021-2022学年高三上学期第四次月考数学试题(理科)
2 . 根据某地不同身高的未成年男性的体重平均值,建立了能够近似地反映该地未成年男性平均体重y(单位:kg)与身高x(单位:cm)的函数关系:
,如果体重超过相同身高男性体重平均值的1.2倍为偏胖,低于0.8倍为偏瘦,那么该地一名身高为175cm,体重为78kg的未成年男性的体重状况为___________ .(填“偏胖”或“正常”或“偏瘦”,参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d4523fff8b0c28b720635e5899284f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f59eeadfb6ae2c98368d26135362bd.png)
您最近一年使用:0次
2022-11-28更新
|
394次组卷
|
2卷引用:2021年12月吉林省普通高中学业水平合格性考试数学试题
名校
3 . 漏斗作为中国传统器具而存在于日常生活之中,某漏斗
有盖
的三视图如图所示,其中俯视图为正方形,则该漏斗的容积为
不考虑漏斗的厚度
______ ,若该漏斗存在外接球,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7277696e8d9f58c9ec28887783b317e8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7277696e8d9f58c9ec28887783b317e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/1b9d9896-ad71-41a5-a6c1-b7164e1143af.png?resizew=220)
您最近一年使用:0次
2022-01-28更新
|
130次组卷
|
5卷引用:吉林省四平市第一高级中学2021-2022学年高三上学期第四次月考数学(理)试题
4 . 在中国现代绘画史上,徐悲鸿的马独步画坛,无人能与之相颉颃.《八骏图》是徐悲鸿最著名的作品之一,画中刚劲矫健、剽悍的骏马,在人们心中是自由和力量的象征,鼓舞人们积极向上.现有8匹善于奔跑的马,它们奔跑的速度各有差异.已知第i(i=1,2,…,7)匹马的最长日行路程是第i+1匹马最长日行路程的1.1倍,且第8匹马的最长日行路程为400里,则这8匹马的最长日行路程之和为___________ 里.(取1.18=2.14)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/b233fe9e-808b-4335-904d-59302730812e.png?resizew=382)
您最近一年使用:0次
2021-11-26更新
|
985次组卷
|
11卷引用:吉林省四平市第一高级中学2021-2022学年高三上学期第三次月考数学(文)试题
吉林省四平市第一高级中学2021-2022学年高三上学期第三次月考数学(文)试题广东省部分学校2022届高三上学期11月大联考数学试题河北省保定市部分学校2022届高三上学期期中数学试题湖南省百校大联考2021-2022学年高三上学期11月联考数学试题陕西省西安交大附中2021-2022学年高三上学期12月月考理科数学试题(已下线)热点07 数列与不等式-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)押全国卷(文科)第4,9题 数列-备战2022年高考数学(文)临考题号押题(全国卷)(已下线)4.2 等比数列(精练)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)(已下线)6.2 等比数列(精练)宁夏银川市贺兰县景博中学2023届高三上学期第二次月考数学(文)试题山东省青岛市胶州市第三中学2023-2024学年高二上学期10月月考数学试题
名校
解题方法
5 . 在如图所示的试验装置中,四边形框架
为正方形,
为矩形,且
,且它们所在的平面互相垂直,
为对角线
上的一个定点,且
,活动弹子
在正方形对角线
上移动,当
取最小值时,活动弹子
到直线
的距离为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846e411df5bb4a01dfec088eba00a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6fbaad522c6c94a573fc0fd6832a62.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/b13626203cdca0a9a35c2fe737edae68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/566e6d6f-faba-4969-a5a3-e8e2f88d637a.png?resizew=216)
您最近一年使用:0次
2021-10-14更新
|
642次组卷
|
7卷引用:吉林省长春市朝阳区2021-2022学年高二上学期期中数学试题
名校
解题方法
6 . 下列四个命题中正确的序号为__________ .
①在
中,内角
,
,
所对的边分别为
,
,
,若
,则角
的大小为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143df52ed01a48c137bddd2a876b2d38.png)
②若量
与
不共线,向量
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c96fd0cc58da87f4ca335c16769d3e0.png)
③在梯形
中,
,
,
,
,若点
在线段
上,则
的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba41326ace4fd1efc70177ed3dbf323.png)
④已知
,
,
分别为
的三个内角
,
,
的对边,
,且
,若
为
的重心,则
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91aae0d05366c54d5977ecbd14dc07e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143df52ed01a48c137bddd2a876b2d38.png)
②若量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de510bcfb62cdc1a6c9c98a873f17822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8827d05338e55f9b60f882d66492ff70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c96fd0cc58da87f4ca335c16769d3e0.png)
③在梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b377f22aafd3742ad860f77abaacef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb466d3d90e7d27f27c60c8beecd4444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9e1688ed1a550e582c121b5f76b5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba41326ace4fd1efc70177ed3dbf323.png)
④已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/5fdc27f4c94d474d6ebc1eaf92423b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb4c2b97de109e89e5fc444748d5997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c28659bc3d4a68b990ad9f05b70bf4.png)
您最近一年使用:0次
名校
解题方法
7 . 以下四个命题中错误的序号为__________ .
①已知
三内角A,B,C的对边分别为a,b,c,且
,若角A的平分线交BC于D点,且
,则
的最小值为4
②在平行四边形
中,
,
,若点
,
满足
,
,则
的值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
③设O是
的外心,且满足
,则
.
④在矩形ABCD中,AB=
,BC=2,点E为BC的中点,点F在边CD上,若
=
,则
的值是
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58296d4772a7cd31792f6a54e31e18f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffbcd82b98a9ae69aa4ee28bb49a907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
②在平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1203f93e3696820124f310b51903d6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0e0a61bc7aedebcb4a10b423d21e9.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/173118fd038ef312ae3d8dd947f4cd3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b0b73bae90597775a1a9219fdeb1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc724b92355546b4da634b485d042f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
③设O是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ff9d4fdd0d176042505b7aac016852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda3f418a8b01b6d0ab3ed0135fb84a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706e774dfd32305229cf4e06b36eecc0.png)
④在矩形ABCD中,AB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad28b5f1101403620ddbdbe536a620ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f651a0f32c32d43a5e629e6e3fd479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
名校
8 . 鄂州市半程马拉松比赛需要学生志愿者若干名,其中某路段从某校高一年级800人中采用男女比例分配分层抽样抽取一个容量为32的样本,已知样本中男生比女生多8人,则该校高一年级男生有_________ 人.
您最近一年使用:0次
2021-08-06更新
|
360次组卷
|
5卷引用:吉林省延边汪清县汪清第四中学2020-2021学年高一下学期期末数学试题
吉林省延边汪清县汪清第四中学2020-2021学年高一下学期期末数学试题湖北省鄂州市2020-2021学年高一下学期期末数学试题(已下线)第9章 统计(基础30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)湖南省邵阳市新邵县2022-2023学年高一下学期期末数学试题(已下线)专题26 统计-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)
名校
9 . 某校
名学生参加该市组织的科技竞赛,得分分别是
,则这组数据的第
百分位数是_________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda82df6f05a446610f29abfa7a531b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
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10 . 某种旅行箱的密码锁由三个数字组成(每个位置上的数字可从0~9这10个数字中任选一个).小张购买一个旅行箱后,打算设置密码,自上而下第一个位置的数字设置为质数,第二个位置的数字设置为奇数,第三个位置的数字设置为偶数,则他可选择的不同密码的个数为______.
您最近一年使用:0次