名校
1 . 设
,对满足条件
的点
的值与
无关,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2b26d59104ec45664b65c72a0693f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d18d0c79d38704ba537554a38828f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3da6c05e73ec26d167c22d2695c804d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024·全国·模拟预测
解题方法
2 . 如图,已知长方体
中,
,
,
为正方形
的中心点,将长方体
绕直线
进行旋转.若平面
满足直线
与
所成的角为
,直线
,则旋转的过程中,直线
与
夹角的正弦值的最小值为( )(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67d8576417f761dd5f583ad3a1555a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142e0f0e25dc2ad81ec1a7ec6ed866b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142e0f0e25dc2ad81ec1a7ec6ed866b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903c1bb6f9fe8f9b9710683a3e601452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bda192938e6048ac769bad63a27aaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8906c2d0201e75ff24dca193ce457f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 下列说法正确的是( )
A.设![]() ![]() ![]() ![]() |
B.设![]() ![]() ![]() ![]() ![]() |
C.设![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-04-02更新
|
612次组卷
|
5卷引用:第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)
(已下线)第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)陕西省西安国际港务区铁一中陆港高级中学2023-2024学年高一下学期第一次月考数学试卷(已下线)高一下学期期中考试--重难点突破及混淆易错规避(苏教版2019必修第二册)河南省新乡市封丘县第一中学2023-2024学年高一下学期期中数学试题江西省宜春市上高中学2023-2024学年高一下学期第二次月考数学试卷
名校
4 . 如图,学校新校区有两块空闲的扇形绿化草地
(圆心角为
)和
(圆心角为
),
为圆的直径.在劣弧
和劣弧
上分别取点
和点
,且
为圆的直径,分别设计出两块社团活动区域,其中一块为矩形区域
,另一块为矩形区域
,已知圆的直径
米,点
在
上、点
在
上、点
和
在
上、点
在
上.
达到最小值时,取得最佳观赏效果.请给出最佳观赏效果的设计方案?
(2)学校本周将在矩形区域
进行社团活动展示,现需要在矩形区域内铺满地垫,并在矩形区域四周放置围栏.铺设的地垫每平方米20元,围栏每米10元,则场地布置的费用最高不超过多少元?
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf126cfed85fa9b7720ec6f7b0008dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b670c6d27ce68f17ac12c4efa1933db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6579b69ecde9f9829c8656c8574aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.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/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49fafa4da7d33b76b4af1d3e4020e08.png)
(2)学校本周将在矩形区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b670c6d27ce68f17ac12c4efa1933db1.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fd58257498a747d6a742b98f06f896.png)
您最近一年使用:0次
2024-04-02更新
|
437次组卷
|
3卷引用:【数学建模】三角应用 彰显成效
2024高三·全国·专题练习
5 . (1)如果角α是第三象限角,那么-α,π-α,π+α角的终边分别落在第几象限?
(2)写出终边落在直线
上的角的取值集合;
(3)若θ=
+2kπ(k∈Z),求在[0,2π)内终边与
角的终边相同的角.
(2)写出终边落在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
(3)若θ=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375a5a78d42a0718f190fe93431a6c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a563db5f45387820c6bc503298779d51.png)
您最近一年使用:0次
解题方法
6 . 如图,在直角梯形
中,
与
交于点
,点
在线段
上.
和
表示
;
(2)设
,求
的值;
(3)设
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d3106f047d529703433b6dbad96fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf8f16f66227c7c9897bf5d5a863f78.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015756e8dd84a004652163864e639d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e785769901eda9d2f346462e228444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92bee4bf1aa98667dd4fe6d9bf18b3b5.png)
您最近一年使用:0次
2024-03-29更新
|
210次组卷
|
3卷引用:第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)河南省创新发展联盟2023-2024学年高一下学期第一次月考(3月)数学试题贵州省遵义市遵义市四城区联考2023-2024学年高一下学期4月月考数学试题
解题方法
7 .
是一种由60个碳原子构成的分子,形似足球,又名足球烯,其分子结构由12个正五边形和20个正六边形组成.如图,将足球烯上的一个正六边形和相邻正五边形展开放平,若正多边形的边长为1,
为正多边形的顶点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1e1951b21dc3273a0e0d80ff04f0e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7590a22611f3935d8e32eac956c2a4c1.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2024-03-27更新
|
743次组卷
|
4卷引用:信息必刷卷04(北京专用)
(已下线)信息必刷卷04(北京专用)(已下线)模块三 失分陷阱3 跨学科渗透题不会提取关键信息黑龙江省齐齐哈尔市2024届高三下学期二模考试数学试题广西梧州市、忻城县2024届高中毕业班5月仿真考试数学试卷
名校
解题方法
8 . 设向量
,
,当
,且
时,则记作
;当
,且
时,则记作
,有下面四个结论:
①若
,
,则
;
②若
且
,则
;
③若
,则对于任意向量
,都有
;
④若
,则对于任意向量
,都有
;
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec6dba44a83ae69146c26a2eec325c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66717aa3e7a771427c1d4433c77a5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7104776ff89344dbad71ae372b2c6a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a7d6f54bf58a7a4f4ce61e06aefa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd070c2627a2520b0d9047a9835efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520a520903a0179b3b7ca22c8c08d934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada29fde8bcb4d04ddc6f1d9108cd5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004c7cf818feb967b88abca38cf27e9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a55755bb17062042b33d96016491ff.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dfbdbb27c06740921709722585131fe.png)
其中所有正确结论的序号为( )
A.①②③ | B.②③④ | C.①③ | D.①④ |
您最近一年使用:0次
2024-03-27更新
|
195次组卷
|
4卷引用:专题03 向量的数量积-期末考点大串讲(人教B版2019必修第三册)
(已下线)专题03 向量的数量积-期末考点大串讲(人教B版2019必修第三册)(已下线)【讲】 专题四 与平面向量有关的新定义问题(压轴大全)河南省商丘市青桐鸣2023-2024学年高一下学期3月月考数学试题吉林省白山市抚松县第一中学2023-2024学年高一下学期5月期中考试数学试题
名校
9 . 如图,扇形
的半径为
,圆心角为
,
是弧
上的动点(不含点
、
),作
交
于点
,作
交
于点
,同时以
为斜边,作
,且
.
的面积的最大值;
(2)从点
出发,经过线段
、
、
、
,到达点
,求途经线段长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.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/1e7396e0c83a454e077c0bea12d945e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4ca88283eb868dd132679b265347a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2b2fe0a4e703682ccc90e1df720db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f153fbd422d0a79c7ff6cdaaac513397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b156333f108b4a6383c547eb75a16473.png)
(2)从点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a477603f3f88c3b48352b6130f9ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
名校
解题方法
10 . 将边长
的矩形
按如图所示的方式折叠,折痕过点
,折叠后点
落在边
上,记
,则折痕长度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1846e964fd60c54888a3c706a97442.png)
______ .(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49f19ea0a087c50d9a1b3409403693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1846e964fd60c54888a3c706a97442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次