14-15高一上·黑龙江绥化·阶段练习
1 . 已知二次函数
满足条件
,且方程
有两个相等的实根,求
的解析式和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68f369a8bd390e2f9fa6dbcf1731312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7ec453b75199c963b6c3b5d434a62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c97d835e3fb431dbe71388410303c45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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14-15高三上·浙江温州·期中
名校
解题方法
2 . 已知函数
.
(1)若函数
为偶函数,求
的值;
(2)若
,求函数
的单调递增区间;
(3)当
时,若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66727de73bdb89a3cce558372ca7301.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b916c6d3fb2fdc67421489f207c93903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c989623de36d03965b327d2e49c31b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-03更新
|
2661次组卷
|
5卷引用:2015-2016学年浙江省杭州二中高一上期末数学试卷
14-15高三上·重庆·阶段练习
3 . 对于函数
与常数a,b,若
恒成立,则称(a,b)为函数
的一个“P数对”:设函数
的定义域为
,且f(1)=3.
(1)若(a,b)是
的一个“P数对”,且
,
,求常数a,b的值;
(2)若(1,1)是
的一个“P数对”,求
;
(3)若(
)是
的一个“P数对”,且当
时,
,求k的值及
在区间
上的最大值与最小值.
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/ff9d70f79149448c84d01eb598f2b3b5.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/56dac0f37c8243dabeae25e9b9715f44.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/36fbd3ac31bf4914a60b971f8b1fb961.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/36fbd3ac31bf4914a60b971f8b1fb961.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/e3b2346d3163414b8ceadc83e433b93f.png)
(1)若(a,b)是
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/36fbd3ac31bf4914a60b971f8b1fb961.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/2e65c991cac94c5ca2093e63b0225f21.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/d9456723f6e448098d3481a4ce2e9fc0.png)
(2)若(1,1)是
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/36fbd3ac31bf4914a60b971f8b1fb961.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/66938ed905df45f7beedba5af5edbeae.png)
(3)若(
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/a6d67d4663fa4b83b073d34d875ff899.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/36fbd3ac31bf4914a60b971f8b1fb961.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/4a7e1596c65b4b558036fee9fef075d2.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/a0242999656b478b9d688e9f5c9dcead.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/36fbd3ac31bf4914a60b971f8b1fb961.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571888385777664/1571888391708672/STEM/63693b44a31a48298c2e579d9553c74d.png)
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10-11高一上·河北唐山·期中
4 . 已知二次函数
的二次项系数为
,且不等式
的解集为
.(Ⅰ)若方程
有两个相等的根,求
的解析式;
(Ⅱ)若
的最大值为正数,求
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/5afd8ccce8df4366a0a2efd33148fe40.png)
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/e35b1eb760fe47899e1317ef73ebcd1f.png)
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/fd769518d35c4298aa6b758338254039.png)
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/1228d6aee4ff46eeb1260660fbc06218.png)
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/8f9828c5819c4cfe9feacf27b3cdcdbe.png)
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/5afd8ccce8df4366a0a2efd33148fe40.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/5afd8ccce8df4366a0a2efd33148fe40.png)
![](https://img.xkw.com/dksih/QBM/2012/1/6/1570679833305088/1570679838900224/STEM/e35b1eb760fe47899e1317ef73ebcd1f.png)
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2014·全国·一模
名校
5 . 某地需要修建一条大型输油管道通过240公里宽的沙漠地带,该段输油管道两端的输油站已建好,余下工程是在该段两端已建好的输油站之间铺设输油管道和等距离修建增压站(又称泵站).经预算,修建一个增压站的工程费用为400万元,铺设距离为
公里的相邻两增压站之间的输油管道费用为
万元.设余下工程的总费用为
万元.
(1)试将
表示成
的函数;
(2)需要修建多少个增压站才能使
最小,其最小值为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749d0e03dc286f2a835768d4ac5f07a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)试将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)需要修建多少个增压站才能使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2016-12-03更新
|
1282次组卷
|
8卷引用:2013-2014学年福建省南安一中高一下学期期末考试数学试卷
(已下线)2013-2014学年福建省南安一中高一下学期期末考试数学试卷吉林省洮南市第一中学2020-2021学年第一学期高一期中考试数学(理)试题山西省朔州市应县第一中学2020-2021学年高一上学期第四次月考数学试题四川省乐山市2020-2021学年高一下学期期末数学试题(已下线)2014年高考数学考前复习冲刺穿插滚动练习(二)江苏省南通市启东中学2020-2021学年高二上学期第一次月考数学试题江苏省扬州市邗江区公道中学2020-2021学年高二上学期第二次测试数学试题广东省普宁市2020-2021学年高二上学期期末数学试题
14-15高一上·北京海淀·期末
6 . 已知函数
的定义域为
,且
的图象连续不间断. 若函数
满足:对于给定的
(
且
),存在
,使得
,则称
具有性质
.
(1)已知函数
,
,判断
是否具有性质
,并说明理由;
(2)已知函数
, 若
具有性质
,求
的最大值;
(3)若函数
的定义域为
,且
的图象连续不间断,又满足
,
求证:对任意
且
,函数
具有性质
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9e329f2730b2be926b121f1ae04c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f151c81829978e76345751a7bdfac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c264ec4a754082c9949c33ac22f2cbb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12af2f56950da618a53de06aaf0eee4.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91693f6744dbce37365160a5ffddaaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd0647bdb5ce234ba9c5f633c58c91.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561f30dc7dcfa8cb336ace4b711f8fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12af2f56950da618a53de06aaf0eee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d0c9d13770863f59ea9fa45488de63.png)
求证:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c972cbd63decec197aec1bdc306de67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2d001d622225f61d5f069f945acc31.png)
您最近一年使用:0次
13-14高一上·江苏盐城·期中
7 . 对于函数
,若存在实数对
,使得等式
对定义域中的每一个
都成立,则称函数
是“
型函数”.
(1) 判断函数
是否为“
型函数”,并说明理由;
(2) 若函数
是“
型函数”,求出满足条件的一组实数对
;
(3)已知函数
是“
型函数”,对应的实数对
为(1,4).当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681d6d27b23b1c41834d7516122f73f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e34c5eb4ca05084c4c6f55565fb7ec.png)
,若当
时,都有
,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe86817946f4142d484bd67ce5f0c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
(1) 判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43539708e9663f5aa0b9336076936e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
(2) 若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf44ef8807abfa79ffe1fb2919e9309e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681d6d27b23b1c41834d7516122f73f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e34c5eb4ca05084c4c6f55565fb7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcaceadc00d891e292c8bdff9e4ce64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b6ee958612051792de2e49fff0abf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
13-14高一上·湖北荆州·期中
名校
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb060fbd66f3194298e5e69eca32d07c.png)
(1)写出函数
的单调区间;
(2)若
在
恒成立,求实数
的取值范围;
(3)若函数
在
上值域是
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb060fbd66f3194298e5e69eca32d07c.png)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e1b9bada8263a6e874bc3fe69d160f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4ce1fb81fe45dc4f6b863e8b22499b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2012高三上·上海·学业考试
名校
9 . 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)
您最近一年使用:0次
2016-12-01更新
|
2129次组卷
|
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
11-12高三上·上海松江·期中
名校
10 . 设函数
,其中
、
为已知实常数,
.
下列所有正确命题的序号是____________ .
①若
,则
对任意实数
恒成立;
②若
,则函数
为奇函数;
③若
,则函数
为偶函数;
④当
时,若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460c07a6303b94c2efdbe63c1cb2c996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be81760015cf34b0e5cb869580c91306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
下列所有正确命题的序号是
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0037388c0b202acddc092f2c143e3548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502c4ff1cd420b9da4de849e63c307e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db92ae4746a34821d8c5b1cce16486b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5dabbaf770207f1d9b83ca67ac9147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cce53f43e48a21edecc19607e94ace1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2a6c35384d6ebc5e47ffecb16c1d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b38cf5324c3ae9884d2405141f8a4e0.png)
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