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1 . 等差数列
的前n项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
________ .
![](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/9a39dabf1d2cb4094bd2178576970d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
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解题方法
2 . 一条光线从
射出,经直线
后反射,反射光线经过点
,则反射光线所在直线方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05bbfc43048ec7e2f3a2d79dc096b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c441c7e1d4bc397894cc8a6a169e0d58.png)
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3 . 下列求导运算正确的是( )
A. ![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-03-07更新
|
2202次组卷
|
23卷引用:福建省宁德市古田县第一中学2023-2024学年高二下学期第一次月考数学试卷
福建省宁德市古田县第一中学2023-2024学年高二下学期第一次月考数学试卷湖南省湘潭市2022-2023学年高二下学期期末数学试题湖北省新高考联考协作体2022-2023学年高二下学期3月联考数学试题广东省信宜市第二中学2022-2023学年高二下学期3月测试数学试题江苏省盐城市大丰区南阳中学2022-2023学年高二下学期第一次学情检测数学试题甘肃省平凉市陕西师范大学平凉实验中学2022-2023学年高二下学期第一次考试数学试题浙江省杭州市余杭高级中学等四校2022-2023学年高二下学期3月联考数学试题海南省华中师范大学琼中附属中学2022-2023学年高二下学期3月月考数学试题广东省高州市某校2023-2024学年高二上学期期末学情数学练习卷广东省中山市迪茵公学2023-2024学年高二下学期开学考试数学试题湖北省黄冈市黄梅县育才高级中学2023-2024学年高二下学期3月月考数学试题重庆市荣昌中学校2023-2024学年高二下学期3月月考数学试题江苏省苏州吴江中学2023-2024学年高二下学期3月月考数学试题四川省凉山州民族中学2023-2024学年高二下学期3月月考数学试题广东省广州市四中2023-2024学年高二下学期3月月考数学试题山东省泰安市宁阳县第一中学2023-2024学年高二下学期4月月考数学试题(已下线)高二 模块3 专题1 小题进阶提升练广东省深圳市北京师范大学南山附属学校2023-2024学年高二下学期第一次月考数学试题安徽省淮南第二中学2023-2024学年高二下学期期中教学检测数学试题(已下线)专题05导数的概念、导数计算及切线方程的9种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)云南省曲靖市会泽县东陆高级中学校2023-2024学年高二下学期3月月考数学试题(已下线)高二数学下学期期末考点大通关真题必刷100题(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)专题01 一元函数的导数及其应用-2
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4 . 若
构成空间的一个基底,则下列向量共面的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a953ecdb640545249adeec3343ef953.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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2024-03-03更新
|
375次组卷
|
4卷引用:福建省宁德市福安市第一中学2023-2024学年高二下学期3月月考数学试题
福建省宁德市福安市第一中学2023-2024学年高二下学期3月月考数学试题河南省开封市五县2023-2024学年高二上学期期中联考数学试题河北省邢台市2023-2024学年高二上学期期末联考数学试题(已下线)模块一 专题5《 空间向量运算》 A基础卷(苏教版)
5 . 在等腰梯形
中,
,
,
,
.
(1)求
所在直线的方程;
(2)求过点
且被三角形
的外接圆所截得的弦长为
的直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a84757fa1fc2e9bf6134c12dce7fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f05b013e4b7166cbc87c5a83d6a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df49179dbfbc8e207aa92fd72060fba1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
6 . 点
在单位圆
上运动,点
的横坐标为点
的横坐标的
倍,纵坐标相同.
(1)求点
的轨迹
的方程;
(2)已知
、
为曲线
与
轴的左、右交点,动直线
交曲线
于
、
两点(均不与
、
重合),记直线
的斜率为
,直线
的斜率为
,且
,试问动直线
是否恒过定点?若过,求出该点坐标:若不过,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)已知
![](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/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15fc80566442a54ddd883c7c53074b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a3124397a6320395c8ada2b4fb0d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3e39a560d6963e9efb163f8a3589b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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7 . 我国南宋时期的数学家杨辉,在他1261年所著的《详解九章算法》一书中,用如图的三角形解释二项和的乘方规律.此图称为“杨辉三角”,也称为“贾宪三角”.在此图中,从第三行开始,首尾两数为1,其他各数均为它肩上两数之和.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/77e03871-317f-4e02-bda2-69a569499639.png?resizew=173)
(1)把“杨辉三角”中第三斜列各数取出按原来的顺序排列得一数列:1,3,6,10,15,…写出
与
的递推关系,并求出数列
的通项公式;
(2)求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/77e03871-317f-4e02-bda2-69a569499639.png?resizew=173)
(1)把“杨辉三角”中第三斜列各数取出按原来的顺序排列得一数列:1,3,6,10,15,…写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a1377dfdf8a0f2b45ab2d25b40c138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b01041691ad489f126f05c18ea8f0fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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8 . 抛物线
被直线
截得的弦的中点
的纵坐标为1.
(1)求
的值及抛物线的准线方程;
(2)过抛物线的焦点
作两条互相垂直的直线
,
,直线
与拋物线相交于
,
两点,直线
与抛物线相交于
,
两点,求四边形
的面积
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d6e08526a91f8dfd160e7da2f92a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)过抛物线的焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/3f6f17bc385bafb37e8f964e5eb99cd0.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/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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解题方法
9 . 已知双曲线
的左、右焦点分别为
、
,过点
作倾斜角为
的直线
与
的左、右两支分别交于点
、
,若
的角平分线交
于点
,且
,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8468ada1f9ae26172046b278e987fe75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c30a7506331e47342fb1e7d2e12d041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120023f9a2c2db55d5716df7d4eba886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
10 . 已知数列
的前
项和为
,数列
是公差为
的等差数列,数列
是公比为
的等比数列.
(1)求数列
的通项公式;
(2)若
,求正整数
的所有取值.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25cbe66fe4e84b4022721122baab4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf3da897eb73b729f66bb0d700775c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fe4bc2252088eae3bc33bb3acce2ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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