已知
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,

,并且二次方程

有实根,则方程的根均在区间

内的概率为( )
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科目:高中数学
来源:不详
题型:解答题
(本小题满分15分)已知

是定义在

上的奇函数,当

时,

(1)求

的解析式;
(2)是否存在实数

,使得当

的最小值是4?如果存在,求出

的值;如果不存在,请说明理由。
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科目:高中数学
来源:不详
题型:解答题
(本题满分12分)
设函数

=

的图象的对称中心为点(1,1).
(1)求

的值;
(2)若直线

=

(

∈R)与

的图象无公共点,且

<2

+

,求实数

的取值范围.
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科目:高中数学
来源:不详
题型:解答题
(本题14分)设定义在R上的函数

,对任意

有

, 且当

时,恒有

,若

.
(1)

求

;
(2)求证

:

时

为单调递增函数.
(3)解不等式

.
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科目:高中数学
来源:不详
题型:单选题
如果关于

的方程

正实数解有且仅有一个,那么实数

的取值范围为( )
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科目:高中数学
来源:不详
题型:填空题
给出下列四个结论:
①若A、B、C、D是平面内四点,则必有

;
②“

”是“

”的充要条件;
③如果函数

对任意的

都满足

,则函数

是周期函数;
④已知点

和直线

分别是函数

图像的一个对称中心和一条对称轴,则

的最小值为2;
其中正确结论的序号是
.(填上所有正确结论的序号).
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科目:高中数学
来源:不详
题型:填空题
已知函数

分别由下表给出

| 1
| 2
| 3
|

| 2
| 1
| 1
|

| 1
| 2
| 3
|

| 3
| 2
| 1
|
则

的值为
;
当

时,

=
.
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