23. There are few problems left I believe you can deal with them yourself.
A. such; that B. so; that C. such; as D. so; as
22. ----I heard that as many as 24 people were killed in the big fire.
----Yes, news came as surprise to us.
A.a; a B.the; / C./; a D.the; a
21. ----I am sorry to have been so rude to you.
----____________.
A. No matter B. All right
C. You are welcome D. That’s all right
23、(本小题满分12分)设函数f(x)=![]()
(1)若a=0,求f(x)的单调区间;
(2)若当x≥0时f(x)≥0,求a的取值范围
22、
(本小题满分12分)(本小题满分12分)如图,在四棱锥P-ABCD中,底面ABCD是正方形,侧棱PD
底面ABCD,PD=DC,E是PC的中点,作EF
PB交PB于点F
(1)、证明:PA∥平面DEB;
(2)、证明:PB
平面EFD;
(3)、设PD=1,求DF的长。
21、(本小题满分12分)如图,在等腰梯形ABCD中,AD∥BC,AB=DC,过点D作AC的平行线DE,交BA的延长线于点E。
求证:(1)
≌
;![]()
(2)DE
DC=AE
BD。
请考生在第22、23二题中任选一题作答。
20、(本小题满分12分)函数f(x)对任意的实数m,n,有f(m+n)=f(m)+f(n),当x>0时,有f(x)>0。
①求证:![]()
②求证:f(x)在(-∞,+∞)上为增函数.
③若f(1)=1,解不等式f(4x-2x)<2.
19、(本小题满分12分)在a>0时,设命题p:函数y=ax在R上单调递增;命题q:不等式ax2-ax+1>0对x∈R恒成立,若p∧q为假,p∨q为真,求a的取值范围.
18、(本小题满分12分)已知函数f(x)=1+
(-2<x≤2).
(1)用分段的形式表示该函数;
(2)画出函数的图象.
(3)写出函数的值域、单调区间.
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