1 . 设
的内角
的对边分别为
若
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c54a52995adc9f07e49b687af109d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d50fc461bbdc4115ce457f44e2b5d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c365da2b0ffc3e6263dcd363e737847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d70009d48ea5ed5e20cc5eff3d557e.png)
A.![]() | B. ![]() | C.![]() | D.![]() |
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解题方法
2 . 在△ABC中,若c=2a cos B,则△ABC的形状为( )
A.直角三角形 | B.等腰三角形 |
C.等边三角形 | D.非等边三角形 |
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名校
3 . 一家金店使用一架两臂不等长的天平称黄金.一位顾客到店内购买
黄金,店员先将
的砝码放在天平左盘中,取出一些黄金放在天平右盘中,使天平平衡;再将
的砝码放在天平右盘中,再取出一些黄金放在天平左盘中,使得天平平衡;最后将两次称得的黄金交给顾客.记顾客实际购得的黄金为xg,则
与20的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a84b5816ef49caf3ae9cf9332017bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a84b5816ef49caf3ae9cf9332017bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.无法确定 |
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6卷引用:广东省广州科学城中学2023-2024学年高一上学期第一次月考数学试题
广东省广州科学城中学2023-2024学年高一上学期第一次月考数学试题江苏省苏州市张家港市梁丰高级中学2020-2021学年高二上学期期中数学试题(已下线)专题05 基本不等式的实际应用-2021-2022学年高一《新题速递·数学》(人教A版2019)黑龙江省齐齐哈尔市克东县第一中学2023-2024学年高一上学期9月月考数学试题河北省辛集市第三中学2023-2024学年高一上学期10月月考数学试题(已下线)第08讲 函数模型及其应用(五大题型)(练习)
解题方法
4 . 在
中,角
的对边分别是
,已知
,点
在边
上,
是内角
的角平分线,且
,则
面积的最小值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7eb7c88b487f83ce1a3573505c6d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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5 . 在直角坐标平面内,将函数
及
在第一象限内的图象分别记作
,
,点
在
上.过
作平行于
轴的直线,与
交于点
,再过点
作平行于
轴的直线,与
交于点
.
,请直接写出
的值;
(2)若
,求证:
是等比数列;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052d51f01f5755f2f5571b199b776122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67c2cf5341e5f184482e26b4a428dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40eff3177abccb34ce65059ebb044d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c15016fc7de1cd5971b7d38c70071e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b93de100d473ce4b0ae2119361bf075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263b7015b9db8408066bac48d5dfec02.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3939ac4d5544ab922514c790e9de9b3.png)
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解题方法
6 . 已知等差数列
的前
项和为
,
,
,若
,则
( )
![](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/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde13a1d82174255f34cc22f8127787b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bd0b054bb5d8285380e468c4e87dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.8 | B.9 | C.10 | D.11 |
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7 . 已知
是公差不为零的等差数列,其中
,
,
成等比数列,且
,数列
的前n项和为
.
(1)求数列
的通项公式及其前n项和
;
(2)设
求数列
的前n项和
;
(3)设集合
,求集合M中所有元素的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b93de8578f08e75e3622242c86273d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afe3a5de1da4001745c7b39547ebb8e.png)
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56次组卷
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2卷引用:广东省佛山市南海区第一中学2023-2024学年高二下学期阶段三暨期末统考模拟检测数学试题
名校
解题方法
8 . 已知非零实数a,b,c不全相等,则下列结论正确的是( )
A.若a,b,c成等差数列,则![]() ![]() ![]() |
B.若a,b,c成等比数列,则![]() ![]() ![]() |
C.若a,b,c成等差数列,则![]() ![]() ![]() |
D.若a,b,c成等比数列,则![]() ![]() ![]() |
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50次组卷
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2卷引用:广东省佛山市南海区第一中学2023-2024学年高二下学期阶段三暨期末统考模拟检测数学试题
名校
9 . 记
为等差数列
的前n项和,若
,
,则
的公差为( )
![](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/a75739be7640de2ab1c3e191b9857a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba339ce7b73e22ac17eb97ab975a41ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.-4 | B.-2 | C.2 | D.4 |
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61次组卷
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2卷引用:广东省佛山市南海区第一中学2023-2024学年高二下学期阶段三暨期末统考模拟检测数学试题