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)
10-11高一上·河北唐山·期中 查看更多[2]
更新时间:2016-12-03 04:17:14
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【知识点】 函数综合
相似题推荐
解答题-问答题
|
困难
(0.15)
名校
【推荐1】已知函数
在区间
上的最大值为4,最小值为1.
(1)求实数
、
的值;
(2)记
,若
在
上是单调函数,求实数
的取值范围;
(3)对于函数
,用
,1,2,
,
,
将区间
任意划分成
个小区间,若存在常数
,使得和式
对任意的划分恒成立,则称函数
为
上的有界变差函数.记
,试判断函数
是否为在
上的有界变差函数?若是,求
的最小值;若不是,请说明理由.
(参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81dc73f0246e8555678221636aab594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a248e47163191168a1b363937eebd618.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4992110dcdc42efbaeeb91751c1566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee973802013f7615c44d2b90d019806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719afcfdeeba1b84b02b5f8c40ac7842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec3d6c998e1e5e1984524136795923c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fabfa18c7f8992ec4c651bc3e6a8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764252096a427d22e7806422c0bff54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663db8a8e903e6033390a8efc5d8acda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8dd4641ec21dab8dd7d1d2e00c3681.png)
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解答题-问答题
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困难
(0.15)
真题
【推荐2】已知函数f(x)=lnx﹣x+1,x∈(0,+∞),求函数f(x)的最大值;
(2)设a1,b1(k=1,2…,n)均为正数,证明:
①若a1b1+a2b2+…anbn≤b1+b2+…bn,则![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/49f34411c0ef4df98faed98205fe32a7.png)
…
≤1;
②若b1+b2+…bn=1,则
≤![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/fe1977caa7284a9d8ca9d900f60ed1d2.png)
…
≤b12+b22+…+bn2.
(2)设a1,b1(k=1,2…,n)均为正数,证明:
①若a1b1+a2b2+…anbn≤b1+b2+…bn,则
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/49f34411c0ef4df98faed98205fe32a7.png)
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/d0477e4c484d45b79c42365f68b099e6.png)
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/db122dcbf85441ab8caaaaf39e892c83.png)
②若b1+b2+…bn=1,则
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/4da1c0450d4b42f1a905e79b2f1dca33.png)
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/fe1977caa7284a9d8ca9d900f60ed1d2.png)
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/e8315771c82b425a883f31b0f2215985.png)
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743289548800/1571743295283200/STEM/5b97963255eb403d90413d0998b6a3d5.png)
您最近一年使用:0次