1 . 已知
的三个顶点都在抛物线
上,且O为抛物线的顶点,抛物线的焦点F满足
,若BC边上的中线所在直线l的方程为
(m,n为常数且
),记
、
、
的面积分别记为
、
、
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d856ed2306a7cc3e64a1edfb84627aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d786625f71656562d6e44af9c0d2ee0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fb4c7a4bf45e467b2d90f6325056c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff3b4de4a08843340abc16e10bbd3d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716189b906950b7e8ee499e9b04f5b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2678f7eb2dd77cf46af0a1c08e1801f1.png)
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2 . 函数
的图象与过原点的直线恰有四个交点,设四个交点中横坐标最大值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1c84ed8b1ed0f99f2a8cb5642c6923.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d1276f2c6beaf8586f8ae40f8e8911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1c84ed8b1ed0f99f2a8cb5642c6923.png)
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3 . 对于一切实数x,令
为不大于x的最大整数,则函数
称为“高斯函数”或“取整函数”.若
,
,
为数列
的前
项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cda21ab2340827d3f4f84b14326dd4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1550a97c21c1d71c9e95dde569668be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303dda19338ea6771dec2ed7f67f0856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cda21ab2340827d3f4f84b14326dd4.png)
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解题方法
4 . 若实数x,y满足约束条件
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da8ea5bb615b659bc59c119f67f25e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5cea74c7d80cc82aec2d4e29f069bb.png)
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解题方法
5 . 已知正实数
满足
,且
恒成立,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d3370e0dacb1f3324a61d8f8d4586e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23218f722d16037cd69677031fbd4f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-04-09更新
|
191次组卷
|
2卷引用:第十三届高二试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
6 . 已知
,删除数列
中所有能被2整除的数,剩下的数从小到大排成数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7196447bf70f4529d4e92fd442b5d5b7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be102b470b13adf5deb3540de8ea94e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7196447bf70f4529d4e92fd442b5d5b7.png)
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7 . 已知曲线
:
,曲线
:
,已知两曲线有三个交点,则m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc283ae7e060392352b93226918dfdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd456d749f7734aca027188548f6ccf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 执行下边的程序框图,当
,
时,
表示
的导函数,若输入函数
,则输出的函数
可化为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09881de0dc186bbcd1e60eb00159ee97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d64af919a56a107e0fc0a417e481648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecca09a569dbe79af2735bd2b4cb511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9ec980b7d20ad20c3e400bc0cab55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d64af919a56a107e0fc0a417e481648.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/19/0188f582-df48-4909-9e6d-9300174b75a7.png?resizew=114)
A.![]() | B.![]() |
C.![]() | D.![]() |
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13-14高一下·江西南昌·期中
名校
解题方法
9 . 已知等差数列
中,
是它的前
项和,若
,则当
最大时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff74bfcb7a30af3a43cf9d6365cafab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.8 | B.9 | C.10 | D.16 |
您最近一年使用:0次
2024-03-22更新
|
1168次组卷
|
21卷引用:人教新课标A版高中数学必修5第二章数列2.3等差数列的前n项和同步测试
人教新课标A版高中数学必修5第二章数列2.3等差数列的前n项和同步测试2016-2017学年河北省武邑中学高一下学期期中考试数学试题卷河北省武邑中学2016-2017学年高一下学期期中考试数学试题【全国百强校】陕西省西安交通大学附属中学2016-2017学年高一下学期期中考试数学(理)试题山东省济南市外国语学校2020-2021学年高二下学期5月月考数学试题湖北省武汉市第一中学2021-2022学年高二上学期12月月考数学试题云南省昆明市禄劝彝族苗族自治县第一中学2023-2024学年高二下学期3月月考数学试题四川省成都市第七中学(高新校区)2023-2024学年高二下学期尖子生4月月考数学试卷吉林省长春市绿园区长春市文理高中2023-2024学年高二下学期4月月考数学试题广东省广州市西关外国语学校2023-2024学年高二下学期期中数学试题(已下线)第一章数列章末十六种常考题型归类(2)(已下线)专题06 等差数列与等比数列(2)--高二期末考点大串讲(人教B版2019选择性必修第二册)(已下线)2013-2014学年江西省南昌市八一、洪都高一下学期期中考试数学试卷2014-2015学年四川省眉山市高一下学期期末考试数学试卷2014-2015学年云南省玉溪市一中高二上学期期中数学试卷【全国百强校】四川省南充高级中学2017-2018学年高一下学期期中考试数学试题【全国百强校】福建省龙岩一中2018-2019学年高二实验班上学期第一次月考数学(理科)试题西藏自治区林芝市第一中学2019-2020学年高二上学期期末数学试题四川省仁寿第一中学南校区2019-2020学年高一6月月考数学试题(已下线)8.1 等差数列浙江省A9协作体2019-2020学年高一下学期期中联考数学试题
解题方法
10 . 如图,在四棱锥
中,底面
为直角梯形,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,平面
底面
为
的中点,
是棱
上的点,
,
.
(1)若
为棱
的中点,求异面直线
与
所成角的余弦值;
(2)若二面角
大小为
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef03c0e49356274b5a89a8f3be677f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060f6da5ff2affb16bfe6e359fea22bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2161aef9e530dba3c372563c3382767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18120a244d3a1f9c1688bf53eb2ad775.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/aae67616-55b6-4e17-acc4-ada11d6b62ea.png?resizew=140)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a773fe6d12311dc321198697eb528ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8305c4ffbf876642440c3d28e91e9f.png)
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