名校
1 . 已知二次函数
,直线
,直线
(其中
为常数,若直线
与函数
的图象以及
轴与函数
的图象所围成的封闭图形(阴影部分),如图所示.
![](https://img.xkw.com/dksih/QBM/2018/5/4/1938170409312256/1940412271575040/STEM/30b9acc03fab4421a83c0d9bdedef066.png?resizew=212)
(1)求
的值;
(2)求阴影面积
关于
的函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd3c1acf6286f3b6c1976ac455ceaae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c381eb9bffeb9ec0fe6e40d86ee7cbb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2701e9777e76a0c39b49395ede4fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edad85497c4f339fc3852357b6202705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2018/5/4/1938170409312256/1940412271575040/STEM/30b9acc03fab4421a83c0d9bdedef066.png?resizew=212)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(2)求阴影面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
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2017-10-20更新
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489次组卷
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2卷引用:山东省菏泽第一中学2018届高三上学期第一次月考数学(理)试题
2 . 如图所示,由直线
,
及
轴围成的曲边梯形的面积介于小矩形与大矩形的面积之间,即
.类比之,若对
,不等式
恒成立,则实数
等于( ).
![](https://img.xkw.com/dksih/QBM/2017/3/10/1641017003319296/1641067728297984/STEM/9190e9a7b57b40dabce3cba40b80f8d1.png?resizew=193)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe37ad6c45c4d13f362e90699aa7e17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af090630632c10405b609180283c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde2576b383ae3c851529435805b3adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243c3b226cb74bf62f901497e6f680a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2017/3/10/1641017003319296/1641067728297984/STEM/9190e9a7b57b40dabce3cba40b80f8d1.png?resizew=193)
A.![]() | B.![]() | C.![]() | D.![]() |
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