海南省临高县 临高二中 2017-2018学年 高二数学 必修5 等比数列的前n项和 双基达标练习题

适用年级:高二
试卷号:592199

试卷类型:课时练习
试卷考试时间:2018/3/20

1.选择题(共3题)

1.

在等高线地形图上,下列叙述正确的是(    )

2.

在等高线地形图上,下列叙述正确的是(    )

3.

    In the most southern part of our planet, there's a place that's covered with snow and ice all year round. But it has the clearest and cleanest air. Amazingly, in this place, the sun sometimes hangs even in the midnight sky. This place is Antarctica (南极洲): the coldest, windiest and harshest (恶劣的) place on the Earth.
    As the world's least-known place, Antarctica is of great interest to scientists around the world. In 1983, China joined the Antarctic Treaty (《南极条约》). The treaty made Antarctica a peaceful place for member countries to do scientific research. During 30 years, China has sent many scientists to Antarctica. They mostly look at the resources under the icy land and do research about climate change and marine (海洋的) biology.
Antarctica is a place with fantastic views. However, life there is very hard. Food is one of the biggest problems. Frozen food which can be heated easily is people’s daily food. Fresh vegetables are hard to grow in the cold weather. Therefore, scientists often eat dried or canned vegetables.
Sleep is also troublesome. In Antarctica, summer lasts from November to March. During this period, Antarctica points to the sun and receives sunlight 24 hours a day. In order to get some sleep, scientists cover the windows with black plastic cloth to create “night”.
    Working in Antarctica is dangerous, especially when meeting gale-force(七级以上的)winds.Sometimes the wind is even stronger than a typhoon.It can easily blow people away.So there are ropes that connect buildings of some research stations.People can hold these ropes to keep their balance in forceful winds.
    What's more, communicating with others is difficult. Without cables and Internet in some research stations, two-way radios are the only tools to communicate. If people want to say hello to friends and relatives, they can use satellite phones.
    Although it is challenging(挑战) to work in Antarctica, scientists' passion to learn about this mysterious land will never end. It is hopeful that one day they will step every corner of this icy land.

2.填空题(共10题)

4.
已知数列的前项和,则该数列的通项公式______
5.
Sn为等比数列{an}的前n项和,8a2a5=0,则=________.
6.
已知等比数列的公比为2,前n项和为,则=______.
7.
在数列{an}中,an1=can(c为非零常数),且前n项和为Sn=3nk,则实数k的值为________.
8.
设{an}是公比为q的等比数列,Sn是它的前n项和,若{Sn}是等差数列,则q=________.
9.
设等比数列{an}的前n项和为Sn,若a1=1,S6=4S3,则a4=________.
10.
在等比数列{an}中,公比q是整数,a1a4=18,a2a3=12,则此数列的前8项和为________.
11.
已知等比数列的前项和为,若,则
12.
若等比数列{an}中,a1=1,an=-512,前n项和为Sn=-341,则n的值是________.
13.
设{an}是由正数组成的等比数列,Sn为其前n项和,已知a2a4=1,S3=7,则S5=____________.

3.解答题(共4题)

14.
已知数列{an}的前n项和Sn=2n2-4.
(1)求数列{an}的通项公式;
(2)设bn=an·log2an,求数列{bn}的前n项和Tn.
15.
已知等比数列前n项,前2n项,前3n项的和分别为SnS2nS3n,求证:=Sn(S2nS3n).
16.
在等比数列{an}中,a1an=66,a3an2=128,Sn=126,求nq.
17.
求和:Sn=x+2x2+3x3+…+nxn (x≠0).
试卷分析
  • 【1】题量占比

    选择题:(3道)

    填空题:(10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:14