1 . 在等比数列
中,
,前
项和为
是
和
的等差中项.
(1)求
的通项公式;
(2)设
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdf53108bee755f5aa9a34ea4d163e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c246a6f84b5345f6786d41e45f192115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ff66d163e1c542742c3ef4b26f38b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
2 . 某公司今年3月欲抽调一批销售员推销A产品,根据过去的经验,每月A产品销售数量y(万件)与销售员的数量x(人)之间的函数关系式为y=
(x>0).在该月内,销售员数量为多少时,销售的数量最大?最大销售量为多少?(精确到0.1万件)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35e73fa3588629cbe8502076593639c.png)
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解题方法
3 . 已知
求:
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8790295eee6f4a6cd1c3a8318c7d4.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86c029b19c9122eec40462dd2462869.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c338f413805057810af91f44ecd2fe1.png)
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解题方法
4 . 已知直线
与直线
垂直,其纵截距为
,椭圆C的两个焦点为
,且与直线
相切.
(1)求直线
和椭圆C的方程;
(2)过点
作两条互相垂直的直线
,与椭圆分别交于P,Q及M,N,求四边形
面积的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d58c2daeaef17097a55cb034c72fe68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5439f5ff9bd5deec0f0ef35c6f605b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531322f8ec2d4d27f8cc421ee67e7d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99393efa04579f3db5cf4f7e319f0440.png)
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5 . 已知数列
中,
,
,
(1)求数列
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89a1ece7b4658e82db0d01a2903b75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d21530412ca73ae0b7e8309e64c40fb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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6 . 如图,四棱锥
中,
平面
,底面
是正方形,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/d698b7c4-82df-4b3e-8be3-da7248d33cc8.png?resizew=178)
(1)求证:
平面
;
(2)求平面
和平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99926bf272cd757f0985c69b390ebcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/d698b7c4-82df-4b3e-8be3-da7248d33cc8.png?resizew=178)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b60870baa5e3fbc33a749aa5f0a94be.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
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解题方法
7 . 已知直线
:
,点A
.求:
(1)点A关于直线
的对称点
的坐标;
(2)直线
关于点A的对称直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962b58f6e56b0bdd3d356b016a16760b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4065ed9c98391f4cfe89319b6e65b44f.png)
(1)点A关于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
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8 . 已知直线
过点
.
(1)若直线
过点
,求直线
的方程;
(2)若直线
在两坐标轴上的截距互为相反数,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694a94a626c18b697996162a572dd40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2023-01-07更新
|
400次组卷
|
6卷引用:吉林省乾安县第七中学2021-2022学年高二上学期第一次质量检测数学试题
吉林省乾安县第七中学2021-2022学年高二上学期第一次质量检测数学试题(已下线)2.2.2 直线的两点式方程(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)第3课时 课中 直线的两点式方程、截距式方程(已下线)2.2.1&2.2.2 直线的点斜式方程、直线的两点式方程 精练(6大题型)-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)(已下线)专题13 直线的方程9种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)(已下线)专题02 直线的方程10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(苏教版2019选择性必修第一册)
解题方法
9 . 在棱长为1的正方体ABCD﹣A1B1C1D1中,点O是面A1B1C1D1的中心.
(1)求证:OC
平面A1BD;
(2)求点C到平面A1BD的距离.
(1)求证:OC
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
(2)求点C到平面A1BD的距离.
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解题方法
10 . 如图,在三棱锥
中,平面
平面
,
,
,若
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/4d1ab019-215b-41cd-ab95-acacccfac53d.png?resizew=189)
(1)求异面直线
和
所成角;
(2)设线段
上有一点
,当
与平面
所成角的正弦值为
时,求
长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e6192cf24ada791c26c2d6d434069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee53e1960b0eb6a6779a57a855fc2921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/4d1ab019-215b-41cd-ab95-acacccfac53d.png?resizew=189)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
(2)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21061c88c73e333c85933ed91e1ca393.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
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