1 . 定义在区间
上的函数
满足
,且对任意的
都有
.
(1)证明:对任意的
,都有
.
(2)求
的值.
(3)计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f579faac22a78b4740d7cf18879a6e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44600bf101883484728578e88c082ba3.png)
(1)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f046b095637bb51f5bfc291ead8826.png)
(3)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7296cdaa03c8e74adb92d5ce4b5632.png)
您最近一年使用:0次
2 . 已知
、
、
是实数,二次函数
满足
.求证:
与1中至少有一个是
的根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac350f5ee9fdd2a73ff4c67807bd4e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
您最近一年使用:0次
名校
3 . 已知函数
.
(1)若对于任意的
,均有
,证明:
;
(2)当
时,证明:对于任意的
,
成立的充分必要条件为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228ec94a217b7fab0cfe5e23a891a403.png)
(1)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e333ce67e47ca86f2737c6426e00c6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b41da54debbb3f80eddedf2d0eacf4.png)
您最近一年使用:0次
2018-12-04更新
|
172次组卷
|
2卷引用:2016年全国高中数学联赛江苏赛区复赛试题