名校
解题方法
1 . 向量
,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa27c09a5c955e423743bda656d0b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a709794d7ff5e38e5d8d465abca1c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-07更新
|
335次组卷
|
8卷引用:北京市延庆区2023-2024学年高一上学期期末考试数学试卷
北京市延庆区2023-2024学年高一上学期期末考试数学试卷(已下线)第八章:向量的数量积与三角恒等变换(单元测试)-同步精品课堂(人教B版2019必修第三册)(已下线)8.1.3向量数量积的坐标运算-同步精品课堂(人教B版2019必修第三册)(已下线)8.1.3 向量数量积的坐标运算-【帮课堂】(人教B版2019必修第三册)天津外国语大学附属河北外国语中学2023-2024学年高一下学期第一次月考数学试题北京市房山区北京师范大学燕化附属中学2023-2024学年高一下学期期中质量检测数学试题福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷(已下线)专题03 平面向量的9种常考题型归类(2) -《期末真题分类汇编》(北师大版(2019))
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0863c43644cc1d61155def7298902dfd.png)
,
的最大值为
.
(1)求
的值;
(2)将
的图象向右平移
个单位得到
的图象,求函数
的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0863c43644cc1d61155def7298902dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf8197e4f3fd18815045d29c357a863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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3 . 已知数列
,记集合
.
(1)若数列
为
,写出集合
;
(2)若
,是否存在
,使得
?若存在,求出一组符合条件的
;若不存在,说明理由;
(3)若
,把集合
中的元素从小到大排列,得到的新数列为
, 若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569e56ec73a87d19fa42045d680886c8.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680e9ef551b325387ab31dca1f893705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9260f8989cfd0ffca5a49ffbc0668f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8f897e289555b25e8a5094c037f4d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e3bfb472f75e339198fa7415a35b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c639c7e5f1e7e7ee5d5ee2f30b155bb0.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e37d15cd620c5a9ae9485629354c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25efaf1a568553b27434c71ddb447c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-04-10更新
|
996次组卷
|
2卷引用:2024届北京市延庆区高考一模数学试题
解题方法
4 .
的内角A,B,C的对边分别为a,b,c,已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
________ ,
的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784d093b48df0ba4ae15ea1368fe85e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44255421dbf68d84f86551b34a57656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8653af649d2a1b22f50c8529ef43136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
5 . 北京天坛的圜丘坛分上、中、下三层,上层中心有一块圆形石板(称为天心石), 环绕天心石砌
块扇面形石板构成第一环,向外每环依次增加
块,下一层的第一环比上一层的最后一环多
块,向外每环依次也增加
块.已知每层环数相同,且三层共有扇面形石板(不含天心石)
块,则上层有扇形石板________ 块.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ad44fe45de966a95a3550f530ea778.png)
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6 . 已知函数
.
(1)若曲线
的一条切线方程为
,求
的值;
(2)若函数
在区间
上为增函数,求
的取值范围;
(3)若
,
无零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe10736b645ce8c8c6976b296eae16c.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7d5d9a63f9fcdf51e76944f7a9ba83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7 . 已知椭圆
的离心率为
,
分别是
的上、下顶点,
,
分别是
的左、右顶点.
(1)求
的方程;
(2)设
为第二象限内
上的动点,直线
与直线
交于点
,直线
与直线
交于点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c97f22ead325b1b9844dc826b8fce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6862d24e8fa807aee52550cec03f34cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af7e6938ec8e0b407a9500e6bf3e4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677437d2868d28fc7cb4914b7fb5f031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee50a23604ea2a9c1f3649dab97c2e7.png)
您最近一年使用:0次
8 . 已知
展开式中,第三项的系数与第四项的系数比为
.求
的值______ ,展开式中有理项的系数之和______ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7aaf59b528c9d1560f6f034bbe7c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55e4f3eda94bc505f103b10bc1fee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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9 . 已知在正方体
中,
,
是正方形
内的动点,
,则满足条件的点
构成的图形的面积等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f36b0f80ba438474f26d45b4feffd5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知双曲线
的离心率为
,则双曲线
的渐近线方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a436f92fe28af4b3b2c9c4a2bc7e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次