名校
1 . 如图,平行四边形
是水平放置的一个平面图形的直观图,其中
,
,
,则原图形
与
间的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352529b508315e10a9a078898c2ae8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c50761ecded661f55e4312dd40d075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c302aa8b3761b1430c1f1b673e1d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca0994651c1fe11732dbb5a95faa916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.1 | B.![]() | C.![]() | D.4 |
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解题方法
2 . 在边长为2的正方形
中,
,
分别为
,
的中点,沿
、
及
把这个正方形折成一个四面体,使得
、
、
三点重合于点
,得到四面体
,顶点
在底面
上的射影为
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922dae27e2bef111979574e15de3a4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() |
B.点![]() ![]() |
C.点![]() ![]() |
D.![]() |
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3 . 已知一组数据
,
,
,
,
的方差是
,那么另一组数
,
,
,
,
的方差是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4e76823155f3289e9d09774853f925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07010a3836448070e89edf3a4e31c3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa2daffd2c7a2b8dffb2ff4e349eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d469b85cc7e68fb89ed59a8d01a9d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d97e571dbffd95361427974419aff6b3.png)
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解题方法
4 . 在
中,
.
(1)求角
的大小;
(2)若
在边
上,
,且
,求
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc5081eeac7ae792291ab8033d6c06a.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67585d2e2a0a8c12bcda212252cfd144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59cf8739d5e3ccc639d85c3a5ba483b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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4卷引用:河南省创新发展联盟2023-2024学年高一下学期第三次月考(5月)数学试题
名校
解题方法
5 . 在直三棱柱
中,
,
,则异面直线
与
所成角的正弦值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af260e0d98c95d1e092dc4c6d348e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b2cc32e5d3226d526cfa037d88275a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
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名校
6 . 已知复数
满足
,
,
,若
是关于
的方程
的一个根,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73aef87ade0fdaeb52ddbaee78915208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e86276d6b5a5d84efa6d4a1845dabc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce4c162efc4287782377e2f39901a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.5 | B.6 | C.7 | D.8 |
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解题方法
7 . 下面四个命题中正确的是( )
A.![]() |
B.若复数![]() ![]() ![]() ![]() |
C.方程![]() ![]() ![]() |
D.已知复数![]() ![]() ![]() |
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8 . 为了研究“同时处理多任务时男女的表现差异”课题,研究组随机抽取男、女志愿者各150名,要求他们同时完成“解题、读地图、接电话”等任务,志愿者完成任务所需时间的分布如图所示,则下列表述正确的是( )
A.总体上女性处理多任务平均用时较短 |
B.处理多任务的能力存在性别差异 |
C.男性的用时中位数比女性用时中位数大 |
D.女性处理多任务的用时为正数,男性处理多任务的用时为负数 |
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2卷引用:河南省洛阳市强基联盟2023-2024学年高一下学期5月联考数学试题
名校
9 . 如图,在长方体
中,
是线段
上异于
的一点,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18c8850e96a30d05d5f6afede82cf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffae5dd516ba282003e4ad9ca1b6fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d66a0e246245bcb4f4246bf709ce603.png)
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|
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3卷引用:河南省开封市多校2023-2024学年高一下学期第三次月考数学试题
河南省开封市多校2023-2024学年高一下学期第三次月考数学试题山东省聊城第一中学等部分学校2023-2024学年高一下学期5月质量监测联合调考数学试题(已下线)专题9 立体几何中折叠问题【讲】(高一期末压轴专项)
10 . 已知向量
满足
,且
,则向量
在向量
上的投影向量的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338136e7ff6fe98a98c0d2142d8f48f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cdd07ae1b1770d628b165db17f6a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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