名校
1 . 在△ABC中,内角A,B,C的对边分别为a,b,c,若a=5
sin(B
),c=5且O为△ABC的外心,G为△ABC的重心,则OG的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e051d14fd6a787387995331f5e6d026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5ab3bd25fe323747ad8fcc85eb6266.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-03-26更新
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8卷引用:江西省宜春市丰城中学2023届高三(7-22班)上学期第二次段考数学(理)试题
江西省宜春市丰城中学2023届高三(7-22班)上学期第二次段考数学(理)试题2020届湖北省部分省级示范性重点中学教科研协作体高三统一联合考试数学(理)试题广东省佛山市第一中学2019-2020学年高一下学期6月联考数学试题(已下线)专题4-3 正余弦定理与解三角形小题归类2-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)专题15 三角形中的范围与最值问题-3(已下线)专题4-2向量四心及补充定理综合归类-2(已下线)【讲】 专题3 三角函数的范围(最值)问题(压轴小题)安徽省亳州市第二完全中学2023-2024学年高一下学期第二次月考(5月)数学试题
2 . 已知数列
(其中第一项是
,接下来的
项是
,再接下来的
项是
,依此类推)的前
项和为
,下列判断:
①
是
的第
项;②存在常数
,使得
恒成立;③
;④满足不等式
的正整数
的最小值是
.
其中正确的序号是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1397acaef5de0c0da2bcb9f548eadcf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8531146889fd0d4ac3df6837ae97a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c87bad7c80c2dd90eb8c9c77e1ce726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423fce1c50758edabd96e08b73bc0213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9214ebbecada038d0348a159c8a025b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5eaf76852d730accc1f33a1a05a901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5692dc8fe7845e00220e4637c4223e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fc653fba9f8f50588bc4356a68dff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a988161a561d02647863c3e08a77e475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ccff46f69f3ed40efe76d479f889cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b525f9caf23d4a53b56dce2f1778b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ad22033d5246c0fd3c3541581ca473.png)
其中正确的序号是
A.①③ | B.①④ | C.①③④ | D.②③④ |
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2019-07-13更新
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1267次组卷
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3卷引用:江西省上高二中2018-2019学年高二下学期期末数学(理)试题
名校
3 . 已知数列
的前
项和为
,且数列
是首项为3,公差为2的等差数列,若
,数列
的前
项和为
,则使得
成立的
的最小值为__________ .
![](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/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14eedc2934191808096c1808ca29f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbabc4c8b8b6e2e53a9e13b8db92172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2018-08-29更新
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5卷引用:江西省南昌市2017-2018学年度高三第二轮复习测试卷文科数学(三)
2012高三上·上海·学业考试
名校
4 . 已知函数
,其中
.
(1)当
时,设
,
,求
的解析式及定义域;
(2)当
,
时,求
的最小值;
(3)设
,当
时,
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68663c9cdbdb9585a5aba78e86199361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e14206c7d228a7c2259a7b27da8813.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4287e3fbd7910c03606ab99d69ecc669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/763430588d2176dcf51cffa8940109b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1510dd289cf6a899f2d817ca5b6782e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514b4a1384404b2b846db12d7d1e8008.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4287e3fbd7910c03606ab99d69ecc669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0d7fbcc396c7b646c31f60e32d9e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ed481b54b7b8c776bedb8b76346590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b1499e806c0cac5417dc62702c7df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2016-12-01更新
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2129次组卷
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3卷引用:江西省景德镇一中2019-2020学年高一上学期期中(1班)数学试题
江西省景德镇一中2019-2020学年高一上学期期中(1班)数学试题江西省三市八校联盟2023-2024学年高一上学期期中大联考数学试卷(已下线)2012届上海市十三校高三上学期第一次联考试题文科数学