2015-2016学年山东省临沂一中高二上学期期中考试理科数学试卷(带解析)

适用年级:高二
试卷号:569401

试卷类型:期中
试卷考试时间:2017/7/20

1.单选题(共7题)

1.
在△中,分别为角所对的边,若,则此三角形一定是()
A.正三角形B.直角三角形
C.等腰三角形D.等腰或直角三角形
2.
设数列{}的前n项和=,则的值为
A.15B.16C.49D.64
3.
已知等比数列{an}中,a2=1,则其前3项的和S3的取值范围是(  )
A.(-∞,-1]
B.(-∞,0)∪(1,+∞)
C.[3,+∞)
D.(-∞,-1]∪[3,+∞)
4.
已知等比数列中, ,则该数列的公比
A.2B.1C.D.
5.
,则等于 ( )
A.B.C.D.
6.
已知是坐标原点,点,若点为平面区域,上的一个动点,则的取值范围是(  )
A.[﹣1,0]B.[0,1]C.[0,2]D.[﹣1,2]
7.
已知x>0,y>0,x+2y+2xy=8,则x+2y的最小值是
A.3B.4C.D.

2.选择题(共5题)

8.

阅读下面短文,用括号内所给动词的适当形式填空。(必要时可加情态动词或助动词)
   Once there was a baby eagle {#blank#}1{#/blank#} (live) in a nest on a cliff(山崖). The baby eagle loved his nest. It was warm, soft and comfortable. And even better, he had all the food and love that his mother could give. Whenever the baby eagle was hungry, his mother would always come just in time with the delicious food he liked.
   He {#blank#}2{#/blank#}  (grow) happily day after day. But suddenly his world changed. His mother stopped {#blank#}3{#/blank#}  (come) to the nest. He was full of sadness and fear. He thought he{#blank#}4{#/blank#}  (die) soon. He cried, but nobody heard him.
   Two days later his mother appeared with some nice food. The baby eagle was wild with joy. But his mother {#blank#}5{#/blank#}  (put) the food at the top of the mountain and then looked down at her baby. The baby eagle cried out. “Mum, why did you do this to me? I’m hungry. Don’t you know I will die if I have nothing {#blank#}6{#/blank#} (eat)?”
   “Here{#blank#}7{#/blank#} (be) the last meal I give you. Come and get it by yourself, ”his mother said. Then she flew down and pushed the baby eagle out of the nest.
   The baby eagle {#blank#}8{#/blank#} (fall) down, faster and faster. He looked up at his mum, “Why do you abandon me?” He looked down at the earth. The ground was much closer. Then something strange happened. The air caught behind his arms and he began{#blank#}9{#/blank#} (fly)! He wasn’t moving to the ground any more. Instead, his eyes were pointed up at the sun.
   “You{#blank#}10{#/blank#} ( fly)! You can make it!” His mother smiled.

9.已知向量,则的充要条件是          (  )
10.如图所示,ABC是在地球大气层外圆形轨道上运动的三颗人造地球卫星,下列说法中正确的是    (     )
11.如图所示,ABC是在地球大气层外圆形轨道上运动的三颗人造地球卫星,下列说法中正确的是    (     )
12.如图所示,ABC是在地球大气层外圆形轨道上运动的三颗人造地球卫星,下列说法中正确的是    (     )

3.填空题(共5题)

13.
在△中,如果,那么△的面积等于
14.
设函数,利用课本中推导等差数列前项和公式的方法,可求得_______________
15.
已知正项等比数列 满足:,若存在两项  使得,则 的最小值为
16.
数列是以1 为首项、为公比的等比数列,则的通项公式=
17.
在直角坐标系中,△的三个顶点坐标分别为,动点是△内的点(包括边界).若目标函数的最大值为2,且此时的最优解所确定的点是线段上的所有点,则目标函数的最小值为

4.解答题(共4题)

18.
已知函数f(x)=x2-2ax-1+a,a∈R.
(1)若a=2,试求函数y=(x>0)的最小值;
(2)对于任意的x∈[0,2],不等式f(x)≤a成立,试求a的取值范围.
19.
某批发站全年分批购入每台价值为3000 元的电脑共4000台,每批都购入台,且每批均需付运费360元,储存电脑全年所付保管费与每批购入电脑的总价值(不含运费)成正比,若每批购入400台,则全年需用去运费和保管费共43600元,现在全年只有24000元资金可以用于支付这笔费用(运费和保管费),请问能否恰当安排进货数量使资金够用?写出你的结论,并说明理由.
20.
中,已知:,且
)判断的形状,并证明.
)求的取值范围.
21.
已知点)满足,且点的坐标为
(1)求经过点 的直线的方程;
(2)已知点)在 两点确定的直线上,求证:数列 是等差数列;
(3)在(2)的条件下,求对于所有,能使不等式成立的最大实数的值.
试卷分析
  • 【1】题量占比

    单选题:(7道)

    选择题:(5道)

    填空题:(5道)

    解答题:(4道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:0

    5星难题:0

    6星难题:0

    7星难题:0

    8星难题:0

    9星难题:16