山西省曲沃中学校2016届高三数学上学期10月阶段性考试试题文
A.[10,2,3]
B.[1,10,3]
C.[1,2,10]
D.[1,2,3]
A、[1,10]
B、[1,[2,3]]
C、[1,[10,3]]
D、报错
已知函数y=f(x)是奇函数,且f(-5)=3,则f(5)= ( )
A.5
B.3
C.-3
D.-5
本题主要考查的知识点为奇函数的性质.【应试指导】由于f(z)是奇函数,故f(5)=f(-5)=-3.
已知集合A={x|x≤1},B={x|≥a},且A∪B=R,
则实数a的取值范围是__________________.
2.ɑ≤1
A. 4 B. -4 C.-2 D. 2
故f'(x0) = -2
高三年级数学测试题二(文) 一、选择题(每题5分,共60分)1、已知集合,则集合等于( )A. B. C. D. 2、已知命题,则为( )A, B,C, D,3、已知函数f(x)为奇函数,且当x0时,则f(1)=()A 2 B 0 C 1 D 24、已知为第二象限角,且,则的值是( )A B. C. D.5、已知, 则下列不等式一定成立的是( )A B C D6、已知向量,若向量的夹角为,则实数( )A2 B C0 D7、已知等差数列中,( )A B C30 D158、已知为第二象限角,则( )A、 B、 C、 D、9、如果实数、满足条件 则的最大值为( )A B C D 10、如果函数的图象经过第一、二、四象限,不经过第三象限,那么一定有( )A BC D 11、曲线y2x33x1在点(1,0)处的切线方程为( )Ay4x5 By3x2Cy4x4 Dy3x312、设是平行四边形的对角线的交点,为四边形所在平面内任意一点,则( )(A) (B)(C) (D)二、填空题(每题5分,共20分)13、函数的定义域为 14、若复数,则|z|=15、若正数满足,则的最小值是_16、如图是函数在一个周期内的图象,则其解析式是 三、解答题(共70分)17、(10分)曲线yxln x在点(e,e)处的切线与直线xay1垂直,求实数a的值。18、(12分)在平面直角坐标系中,A、B两点的坐标分别为(1,2),(3,8),向量=(x,3)(1)若,求x的值;(2)若,求x的值19、(12分)在中,内角、的对边分别是、,且(1)求;(2)若,求20、(12分)已知函数(1)求函数f(x)的极值(2)求函数在上的最大值和最小值21、(12分)已知函数,(1)求函数的单调递增区间;(2)求函数在区间上的最大值和最小值22、(12分)已知数列是首项为,公比的等比数列,数列满足(1)求证:是等差数列;(2)求数列的前项和参考答案(文数)一、单项选择B D A D C B D D D B D D二、填空题 5 三、解答题17、218、(1),(2)(),(),19、(1);(2)20、(1)极大值为f(-1)=2,极小值为f(1)=-2(2)最大值和最小值分别为2,18.(1)f(x)=3x2-3=3(x+1)(x-1)令f(x)=0得x1=1,x2=1列表如下:x(-,1)1(1,1)1(1,+)f(x)+00+f(x)增极大值减极小值增f(x)的极大值为f(-1)=2,极小值为f(1)=-2(2)由(1)可知,在上的最值只可能在x=-3,x=,x=-1.x=1取到,f(-3)=18,f(-1)=2,f(1)=2,f()=在上的最大值和最小值分别为2,18.21、(1)(2)最大值,最小值(1)由,解得所以函数单调递增区间为(2)当时,所以当即时,函数取得最大值,当即时,函数取得最小值22、(1)由题意,数列是首项为1,公差为3的等差数列(2)由(1)知,两式相减得,- 5 -
B.(-∞,1)
C.(1,+∞)
D.(-∞,+∞)
B.(-(1/4),3)
C.(-∞,-(1/4))∪(3,+∞)
D.(-∞,1/3)∪(3,+∞)
B.1
C.2
D.3
如果 a=1,那么 a2+a+1=1+1+1=3≠0,即 a≠1。
等式两边同乘以a-1,得到(a-1)(a2+a+1)=a3-1=0,即a3=1。
因为2007能整除3,所以a2007=1。
a2008+a2009+1=a2007(a2+a)+1=a2+a+1=0。
B.6
C.2
D.-6
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