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高一滚动练习十二

1、1.已知A ={x |y =x ,x ∈R },B ={y |y =x ,x ∈R },则A ∩B 等于 A.{x |x ∈R } B.{y |y ≥0} C.{(0,0),(1,1)} D.?

2、下列四个函数中,在(0,+∞)上为增函数的是

A.f (x )=3-x

B.f (x )=x 2-3x

C.f (x )=-

1+x D.f (x )=-|

x |

3、函数f (x )=x 2

+2(a －1)x +2在区间(-∞,4］上递减,则a 的取值范围是

A.［-3,+∞］

B.(-∞,-3]

C.(-∞,5］

D.［3,+∞)

A 2个

B 3个

C 4个

D 5个

5、已知函数f (n )=??

?<+≥-),

10)](5([),10(3n n f f n n 其中n ∈N ，则f (8)等于

A.2

B.4

C.6

D.7 6、下面的图形经过折叠不能围成棱柱的是（）

7、下列条件中,能判断两个平面平行的是( )

A 一个平面内的一条直线平行于另一个平面;

B 一个平面内的两条直线平行于另一个平面

C 一个平面内有无数条直线平行于另一个平面

D 一个平面内任何一条直线都平行于另一个平面

8、如图，在Rt △ABC 中，∠ABC=900

，P 为△ABC 所在平面外一点 PA ⊥平面ABC ，则四面体P-ABC 中共有（）个直角三角形。 A 4 B 3 C 2 D 1

9、已知函数2()f x ax bx c =++（a ≠0）是偶函数，那么32

()g x ax bx cx =++是（A ）奇函数（B ）偶函数（C ）奇函数且偶函数（D ）非奇非偶函数

10、一平面截一球得到直径是6cm 的圆面，球心到这个平面的距离是4cm ，则该球的体积是 ( )

A ．

1003

cm π B ．

2083

cm π C ．

5003

cm π D ．

11、某商场对顾客实行购物优惠活动，规定一次购物付款总额： (1)如果不超过200元，则不给予优惠；

(2)如果超过200元但不超过500元，则按标价给予9折优惠；

(3)如果超过500元，其500元内的按第(2)条给予优惠，超过500元的部分给予7折优惠. 某人两次去购物，分别付款168元和423元，假设他一次性购买上述两次同样的商品，则应付款是

A.413.7元

B.513.7元

C.546.6元

D.548.7元

12、a ，b ，c 表示直线，M 表示平面，给出下列四个命题：①若a ∥M ，b ∥M ，则a ∥b ；②

若b ?M ，

a ∥

b ，则a ∥M ；③若a ⊥

c ，b ⊥c ，则a ∥b ；④若a ⊥M ，b ⊥M ，则a ∥b .其中正确命题的个数有（）

A 、0个

B 、1个

C 、2个

D 、3个二、填空题 13、函数)23(log

2-=

x y 的定义域为______________

14、边长为3、4、5的直角三角形以它的斜边所在的直线为旋转轴旋转一周,则所得的几何体的体积是 .

15、f(x)为奇函数，当x ≥0时，f(x)＝x(2－x)，则x ＜0时，f(x)的解析式为 . 16、在正方体ABCD —A 1B 1C 1D 1中，BC 1与平面BB 1D 1D 所成的角是．三、解答题

17、已知函数()+1lg -1

x f x x =求函数的定义域并判断函数的奇偶性

18、(1) )3()6)(2(65

b a b a b a -÷- (2) 5

log

8log

log

2log 2+-+-

19、设某几何体的三视图如下（尺寸的长度单位为m ）。求该几何体的体积。

20、已知函数()24(0)2(0)12(0)x x f x x x x ?->?

==??-

，

（1）画出函数()f x 图像；（2）求()()()21(),3f a a R f

f +∈的值；

（3）当43x -≤<时，求()f x 取值的集合.

21、某租赁公司拥有汽车100辆，当每辆车的月租金为3000元时，可全部租出。当每辆车的月租金每增加50元时，未租出的车将会增加一辆。租出的车每辆每月需要维护费150元，未租出的车每辆每月需要维护费50元。

（1）当每辆车的月租金定为3600元时，能租出多少辆车？

（2）当每辆车的月租金定为多少元时，租赁公司的月收益最大？最大月收益是多少？

22、已知正方体1111ABCD A B C D -，O 是底ABCD 对角线的交点. 求证：（１）C 1O ∥面11AB D ；（2 ）1A C ⊥面11AB D ．

D 1

C 1

B 1

A 1

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