11-12高三上·安徽蚌埠·阶段练习
1 . 设函数f(x)是定义在R上的奇函数,对任意实数x有f
=-f
成立.
(1)证明y=f(x)是周期函数,并指出其周期;
(2)若f(1)=2,求f(2)+f(3)的值;
(3)若g(x)=x2+ax+3,且y=|f(x)|·g(x)是偶函数,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c79a312176aa92d9cd6a4daca1a050d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0523925b23a7af219e50f5d6cebe21fc.png)
(1)证明y=f(x)是周期函数,并指出其周期;
(2)若f(1)=2,求f(2)+f(3)的值;
(3)若g(x)=x2+ax+3,且y=|f(x)|·g(x)是偶函数,求实数a的值.
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10-11高二下·江苏盐城·期中
解题方法
2 . 已知二次函数
对任意实数x,都有
,且当x∈[1,3)时,有
成立.
(1)证明:f(2)=2;
(2)若f(−2)=0,求
的表达式;
(3)在题(2)的条件下设
,x∈[0,+∞),若g(x)图象上的点都位于直线y=
的上方,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3072b97814d272264a596ebb075c50e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604636b71bc8c9658b87854c3119062a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04babe03858381f34bd16a3d2f96993a.png)
(1)证明:f(2)=2;
(2)若f(−2)=0,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(3)在题(2)的条件下设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732efb07980bebc63ab75b35d64da01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
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11-12高一上·安徽·期末
名校
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1a4fa622dcfa9d561ea48fdf085a92.png)
是奇函数.
(1)求实数
的值;
(2)判断函数
在
上的单调性,并给出证明;
(3)当
时,函数
的值域是
,求实数
与
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1a4fa622dcfa9d561ea48fdf085a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2518eaa26481a4ad6aa031cc1e93c40.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c4820255b5f59cea43df6941a2178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2016-11-30更新
|
1611次组卷
|
7卷引用:江苏省淮安市2016-2017学年高二下学期期末考试数学(文)试题
江苏省淮安市2016-2017学年高二下学期期末考试数学(文)试题(已下线)2011年安徽省两地三校高一上学期期末联考数学试卷(已下线)2012-2013学年广东揭阳一中高一上期末考试文科数学试卷重庆市铜梁县第一中学2018届高三9月月考数学(理)试题【区级联考】广东省汕头市潮阳区2017-2018学年高一(上)期末数学试题上海市南模中学2017-2018学年高二上学期开学考试数学试题上海市上海交大附中2017届高三下学期返校数学试题
解题方法
4 . (1)设
,
,
.试比较P与Q的大小.
(2)已知
,
,
.求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63947a64aca8520ac2b7261890038b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525bb8d5c33a6f74dae779e908918e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e271b6e63206285461a7552d11efd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27763d65ec630511141303dad69545b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d2a05075997525049a368aba1c2b46.png)
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