1 . 如图,所有棱长都为1的正三棱柱
,
,点
是侧棱
上的动点,且
,
为线段
上的动点,直线
平面
,则点
的轨迹为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea8abb4cab55296ca7fc63de0af0aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451078862d19e0628b1f9aecb7e157e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f1649aa6b72c6cced4699f2f3c8679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6d636500b630efb99e251c8151b1e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.三角形(含内部) | B.矩形(含内部) |
C.圆柱面的一部分 | D.球面的一部分 |
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2 . 若给定一向量组
和向量
,如果存在一组实数
,使得
,则称向量
能由向量组A线性表示,或称向量
是向量组A的线性组合,若
为三个不共面的空间向量,且向量
是向量组
的线性组合,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47604450cfd1a96f0545e9c4700626b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d6765bcad6a338b3806c72af8d9b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2956732079852f474bd4201cb59fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b308671ffac4493285f0522f95011c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.0 | D.1 |
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名校
3 . 下列说法正确的是( )
A.已知非零向量![]() ![]() ![]() ![]() ![]() |
B.设x,![]() ![]() ![]() ![]() |
C.用秦九韶算法求这个多项式![]() ![]() ![]() |
D.从装有2个红球和2个黑球的口袋内任取2个球,“至少有一个黑球”与“至少有一个红球”是两个互斥且不对立的事件 |
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解题方法
4 . 已知平行四边形
,若点
是边
的三等分点(靠近点
处),点
是边
的中点,直线
与
相交于点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5883f1f14abf50e45d2624ee850623.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-23更新
|
874次组卷
|
11卷引用:四川省成都市蓉城名校联盟2024届高三上学期第一次联考数学(文)试题
四川省成都市蓉城名校联盟2024届高三上学期第一次联考数学(文)试题四川省成都市蓉城联盟2023-2024学年高三上学期第一次联考理科数学试题(已下线)考点2 平面向量基本定理及坐标表示 --2024届高考数学考点总动员【讲】(已下线)专题5.1 平面向量的概念、线性运算与基本定理及坐标表示【六大题型】(已下线)第03讲 平面向量基本定理及坐标表示-【寒假预科讲义】(人教A版2019必修第一册)(已下线)专题03 向量的数乘-【寒假自学课】(苏教版2019)(已下线)6.3.1 平面向量基本定理 【第三课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第6.3.1讲 平面向量基本定理-精讲精练宝典(已下线)9.3 向量基本定理及坐标表示2-【帮课堂】(苏教版2019必修第二册)(已下线)第9章 平面向量 章末题型归纳总结-【帮课堂】(苏教版2019必修第二册)(已下线)6.2.1-6.2.3 向量的加法运算、向量的减法运算、向量的数乘运算 -同步题型分类归纳讲与练(人教A版2019必修第二册)
5 . 在
中,
,
为
中点,
交于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a428233496c5e21f2c20ebaf0c312e.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/692c58a2af64d705cd4a988ed2bfbc3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() |
B.![]() |
C.四边形![]() ![]() ![]() |
D.![]() ![]() |
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名校
解题方法
6 . 线段AB的长度为6,C,D为其三等分点(C靠近A,D靠近B),若P为线段AB外一点,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c99c33cf34fa55b63f78ad1acaccc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0073fed28fd0caeade3216a5a5b2a.png)
A.36 | B.-36 | C.-8 | D.8 |
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2023-11-03更新
|
647次组卷
|
4卷引用:江苏省徐州市普高联考(求实高中等)2023-2024学年高三上学期测评(三)数学试题
名校
解题方法
7 . 已知在
中,
,
,
为线段
的中点,点
在线段
上,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b36392ec1e9dbab87d66059be35ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8f1336ac2ff3658955b807eb0a27a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a784085ca2747763ed65f99505147b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56f0466c67eb5811da543f2959b403f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-01更新
|
746次组卷
|
2卷引用:中原名校2022年高三上学期第四次精英联赛理科数学试题
名校
解题方法
8 . 大约在公元222年,赵爽为《周髀算经》一书作序时介绍了“勾股圆方图”,亦称“赵爽弦图”(如图1).某数学兴趣小组类比“赵爽弦图”构造出图2:
为正三角形,
,
,
围成的
也为正三角形.若
为
的中点,①
与
的面积比为___________ ;②设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e507d3941363e9dbeac8be35134727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/c1bd98f1-c926-4719-b25c-602039f53dd5.png?resizew=272)
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2023-05-05更新
|
1810次组卷
|
4卷引用:江苏省南京市2023届高三二模数学试题
解题方法
9 . 已知O为坐标原点,直线
:
与y轴交于点M,与直线
:
交于点N,若∠MON的内角平分线过点P,且
,则P不在直线( )上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1908db7f7e6eed62efb81a65577dd658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41735912a4da4ce2a73d4c494f1a850.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023·河北·模拟预测
名校
解题方法
10 . 在
中,
,
,
,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccb864e2429cb29993d6ad8570569b4.png)
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b83647557c93d7f7e9ceee524601a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7259a6856aee429ab976f9cbb0a9c367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edafbbab1b53f63ee88487e2af97f2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65623b2f96d26dfa408fff93e58772c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccb864e2429cb29993d6ad8570569b4.png)
,则( )
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() ![]() ![]() |
您最近一年使用:0次