2014·吉林长春·一模
名校
1 . 已知向量
,
,设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5592fed8d974456b1201ec0b1f6835.png)
(1)求函数f(x)的最小正周期;
(2)已知a、b、c分别为三角形ABC的内角对应的三边长,A为锐角,a=1,
,且f(A)恰是函数f(x)在
上的最大值,求A,b和三角形ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe2ec77ffa27d9d9a22cbd2ae8a3664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbe94b856c1148fe68c74fb3005334a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5592fed8d974456b1201ec0b1f6835.png)
(1)求函数f(x)的最小正周期;
(2)已知a、b、c分别为三角形ABC的内角对应的三边长,A为锐角,a=1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
您最近一年使用:0次
2018-12-05更新
|
1036次组卷
|
10卷引用:2014届吉林省长春市高中毕业班第一次调研测试文科试卷
(已下线)2014届吉林省长春市高中毕业班第一次调研测试文科试卷甘肃省肃南县第一中学2016-2017学年高一下学期期末考试数学试题(已下线)黄金30题系列 高三年级数学江苏版 大题易丢分(已下线)2018年高考数学备考中等生百日捷进提升系列(综合提升篇) 专题01 三角解答题【校级联考】湖北省宜昌市示范高中协作体2019届高三上学期期中联考文科数学试题四川省泸州市泸县第二中学2020-2021学年高三上学期一诊模拟考试理科数学试题四川省泸州市泸县第二中学2020-2021学年高三上学期一诊模拟考试文科数学试题(已下线)专题04 平面向量-【备战高考】2021年高三数学高考复习刷题宝典(解答题专练)四川省邻水县第二中学2021-2022学年高三上学期11月月考数学理科试题四川省广安市邻水县邻水县第二中学2021-2022学年高三上学期10月月考数学理科试题
名校
2 . 对于
,有如下命题:
若
,则
一定为等腰三角形.
若
,则
一定为等腰三角形.
若
,则
一定为钝角三角形.
若
,则
一定为锐角三角形.
则其中正确命题的序号是______
把所有正确的命题序号都填上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b84dd9019efb6439f01b7d90d18d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b1cac68231d337759ec59bc519ea39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e41bc3912c8f248ca91e1ee382f0435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e636bddc1a3d7c006ac304e96cd2551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827716804026d84f6e86aea99a546b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
则其中正确命题的序号是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce8411079aca57f17d3ead32798f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
您最近一年使用:0次
2018-08-16更新
|
3435次组卷
|
7卷引用:吉林省辽源市第五中学2019-2020学年高一下学期期末考试数学(理)试题
名校
3 . 已知函数 f(x)=ax2+2x﹣lnx(a∈R).
(Ⅰ)若 a=4,求函数 f(x)的极值;
(Ⅱ)若 f′(x)在区间(0,1)内有唯一的零点 x0,求 a 的取值范围.
(Ⅰ)若 a=4,求函数 f(x)的极值;
(Ⅱ)若 f′(x)在区间(0,1)内有唯一的零点 x0,求 a 的取值范围.
您最近一年使用:0次
名校
4 . 已知椭圆
:
的左、右焦点分别为
,右顶点为
,且
过点
,圆
是以线段
为直径的圆,经过点
且倾斜角为
的直线与圆
相切.
(1)求椭圆
及圆
的方程;
(2)是否存在直线
,使得直线
与圆
相切,与椭圆
交于
两点,且满足
?若存在,请求出直线
的方程,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff470a84c1459369b6b8e500cdc7900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef969315b3879ea2767f61b2ebc54e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)是否存在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b43f6deaa3a1f3feaf7ce85f3f36676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2018-04-29更新
|
1249次组卷
|
6卷引用:吉林省梅河口市第五中学2018届高三下学期第二次模拟考试数学(理)试题
名校
5 . 已知函数
是定义在
上的偶函数,且当
时,不等式
成立,若
,
,
,则
,
,
之间的大小关系为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c602c2c0e87d7038a0baf82dfff1f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f991e29c7c5e4b48af22d0e8d8904c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50870a9bbd8113670f64d6da41349306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649a14e2e58fb183a106f7271649fc30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-03-13更新
|
450次组卷
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2卷引用:甘肃省兰州市2018届高三一诊数学(文)试题
名校
6 . 在△
中,内角
的对边分别为
,若其面积
,角
的平分线
交
于
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/99819d0b35909e67c888933e85e28902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4db3d5ecdceba51deccbfd2d4f4a97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
您最近一年使用:0次
2018-03-11更新
|
613次组卷
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4卷引用:吉林省长春市普通高中2018届高三质量监测(二)数学(文)试题
名校
7 . 函数
的图象恒过定点
,若点
在直线
上,其中
,
,则
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a1c6f868e7c1009e0206e1370e5297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6a3849982d9cbd5956635c04f23b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d760204a261aae858ee3e353882899.png)
您最近一年使用:0次
2017-12-27更新
|
1292次组卷
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8卷引用:吉林省榆树市第一高级中学2018届高三第三次模拟考试数学(理)试卷
吉林省榆树市第一高级中学2018届高三第三次模拟考试数学(理)试卷【全国百强校】陕西省西安中学2019届高三上学期期中考试数学(文)试题(已下线)2019年1月2日 《每日一题》理数(高二上期末复习)人教必修5+选修2-1-基本不等式【区级联考】天津市河东区2019届高三二模考试数学(文史类)试题【区级联考】天津市河东区2019届高三二模数学(理)试题广西梧州市2018-2019学年高二下学期期末数学(文)试题辽宁省大连市中山区第二十四中学2019-2020学年高三上学期11月月考数学试题(已下线)3.2指数函数的图象和性质(分层练习,十二大题型)-高一数学同步精品课堂(北师大版2019必修第一册)
8 . 设函数
的定义域为
,若存在常数
,使
对一切实数
均成立,则称
为“条件约束函数”. 现给出下列函数:
①
;
②
;
③
;
④
是定义在实数集
上的奇函数,且对一切
均有
.
其中是“条件约束函数”的序号是__________ (写出符合条件的全部序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7957e57a899be729c908957ad5d302b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/201e5c20906b6ae120bc3909320036bf.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330d61bc0eac3bb6e1a8aefb73ac171e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c36b1de0e171a71081405c58c63eb72.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3aaa22b625d3f6f4177355e4a7415a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f3ea0e56d5fd31250c28e220fa29f0.png)
其中是“条件约束函数”的序号是
您最近一年使用:0次
2017-10-19更新
|
548次组卷
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6卷引用:吉林省吉林大学附属中学2017届高三第七次模拟考试数学(理)试题
吉林省吉林大学附属中学2017届高三第七次模拟考试数学(理)试题内蒙古赤峰二中2018届高三上学期第二次月考数学(理)试题2020届北京市十一学校高三(12月)月考数学试题2020届海南省海口市海南中学高三第七次月考(3.8)数学试题内蒙古鄂尔多斯市2018-2019学年高三上学期期中考试数学(理)试卷(已下线)专题06 拿高分题目强化卷(第三篇)-备战2021年新高考数学分层强化训练(北京专版)
9 . 已知平面四边形
是由
和等腰直角
拼接而成,其中,
,
,
,设
.
(1)用角
表示线段
的长度;
(2)求线段
的长度的最大值,并求出此时角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf410aab32ba002b2c4e7343e7efd4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dcbd171693a47c5b932a5e84de10c6.png)
(1)用角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/2017/8/23/1758391752400896/1759016247623680/STEM/b91a2efd267f4587ab048e62a706fcd6.png?resizew=206)
您最近一年使用:0次
名校
10 . 已知函数
,其中
,曲线
在点
处的切线方程为
.
(1)求
,
的值;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fe84ecdcafb66c2e3a4dd702503729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8487d2ea7cda0b701db8230d65b4b901.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08513768531f0c9352ba8581a5523c83.png)
您最近一年使用:0次
2017-08-18更新
|
356次组卷
|
3卷引用:吉林省长春、四平两地六县(市区)重点中学2016-2017学年高二下学期期末联考数学(理)试题