1 . 已知二次函数
满足下列3个条件:
①
的图象过坐标原点;②对于任意
都有
;③对于任意
都有
.
(1)求函数
的解析式;
(2)令
.(其中m为参数)
①求函数
的单调区间;
②设
,函数
在区间
上既有最大值又有最小值,请写出实数p,q的取值范围.(用m表示出p,q范围即可,不需要过程)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00cbf67f0605a8d1f4499b156785001f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b129a86f37fbbdf5a5808f13924e819f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b45f20b8f07836bb5d9941ae862233.png)
①求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e257b2b02bcd57c116841807979bbc.png)
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2020-01-04更新
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393次组卷
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3卷引用:贵州省黔南布依族苗族自治州都匀市民族中学2021-2022学年高一上学期第二次月考数学试题