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2016-2017学年江苏省南通市海安实验中学高一(上)期中数学试卷(解析版)

2016-2017学年江苏省南通市海安实验中学高一(上)期中数学试卷(解析版)
2016-2017学年江苏省南通市海安实验中学高一(上)期中数学试卷(解析版)

2016-2017学年江苏省南通市海安实验中学高一(上)期中数学

试卷

一、填空题:本大题共14小题,每小题5分,共70分.

1.(5分)已知全集U={1,2,3},A={1,m},?U A={2},则m=.2.(5分)函数y=f(x)的图象与直线x=a的交点个数为.

3.(5分)设函数f(x)=则f(f(2))=.

4.(5分)已知sinα=,α∈(,π),则tanα=.

5.(5分)半径为3cm,圆心角为120°的扇形面积为cm2.

6.(5分)已知f(+1)=x+2,则f(x)=.

7.(5分)已知幂函数y=(m2﹣m﹣1)x m2﹣2m﹣3,当x∈(0,+∞)时为减函数,则幂函数y=.

8.(5分)函数f(x)=|x2﹣2x﹣3|的单调增区间是.

9.(5分)函数的零点所在的区间为(n,n+1)(n∈Z),则n=.10.(5分)已知偶函数f(x)在[1,4]上是单调增函数,则f(﹣π)

.(填“>”或“<”或“=”)

11.(5分)定义在R上的奇函数f(x)对任意x∈R都有f(x)=f(x+4),当x ∈(﹣2,0)时,f(x)=2x,则f(2016)﹣f(2015)=.

12.(5分)已知函数,则不等式f(x2﹣2x)<f(3x﹣4)

的解集是.

13.(5分)下列结论中正确的序号是.

①函数y=a x(a>0且a≠1)与函数(a>0且a≠1)的定义域相同;

②函数y=k?3x(k>0)(k为常数)的图象可由函数y=3x的图象经过平移得到;

③函数(x≠0)是奇函数且函数(x≠0)是偶函数;

④若x1是函数f(x)的零点,且m<x1<n,则f(m)?f(n)<0.

14.(5分)已知函数y=f(x)是定义域为R的偶函数,当x≥0时,f(x)

=,若关于x的方程[f(x)]2+af(x)+=0,a∈R有且仅有8个不同实数根,则实数a的取值范围是.

二、解答题:(本大题包括6小题,共90分.请在答题纸的指定区域内答题,并写出必要的计算、证明、推理过程)

15.(14分)(1)求函数y=2x+4,x∈[0,2]的值域;

(2)化简:.

16.(14分)已知函数的值域为集合A,关于x的不

等式的解集为B,集合,集合D={x|m+1≤x <2m﹣1}(m>0)

(1)若A∪B=B,求实数a的取值范围;

(2)若D?C,求实数m的取值范围.

17.(15分)已知f(x)=,x∈(﹣2,2)

(1)判断f(x)的奇偶性并说明理由;

(2)求证:函数f(x)在(﹣2,2)上是增函数;

(3)若f(2+a)+f(1﹣2a)>0,求实数a的取值范围.

18.(15分)小张在淘宝网上开一家商店,他以10元每条的价格购进某品牌积压围巾2000条.定价前,小张先搜索了淘宝网上的其它网店,发现:A商店以30元每条的价格销售,平均每日销售量为10条;B商店以25元每条的价格销售,平均每日销售量为20条.假定这种围巾的销售量t(条)是售价x(元)(x∈Z+)的一次函数,且各个商店间的售价、销售量等方面不会互相影响.

(1)试写出围巾销售每日的毛利润y(元)关于售价x(元)(x∈Z+)的函数关系式(不必写出定义域),并帮助小张定价,使得每日的毛利润最高(每日的毛利润为每日卖出商品的进货价与销售价之间的差价);

(2)考虑到这批围巾的管理、仓储等费用为200元/天(只要围巾没有售完,均

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江苏省海安高级中学2018-2019学年高一英语下学期期中试题(创新 实验班) 注意事项: 1.本试卷分第I卷(选择题)和第II卷(非选择题),满分100分,考试时间90分钟。 2.所有试题的答案均填写在答题纸上(选择题部分使用答题卡,请将选择题的答案直接填涂到答题卡上),答案写在试卷上的无效。 第I卷 (选择题共60分) 第一部分阅读理解(共两节,满分40分) 第一节(共15小题;每小题2分,满分30分) 阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项。 A Argument for awards It’s always exciting every year in October when the Nobel Prizes are announced. We get to witness the acknowledgement (表彰) of some of humankind’s greatest mind s in six fields – literature (文学), medicine, physics, chemistry, economics and activism for peace. This year, however, part of the excitement will be taken away, since there won’t be a Nobel Prize in literature due to the fact that the Swedish Academy – the institution (机构) that awards the prize – was involved in a sexual harassment scandal. People worry that a scandal like this will affect the reputation of the Nobel Prizes. But at the same time, we have to ask ourselves whether we really need these awards after all. According to Jana Gallus, an economist from the University of Zurich, Switzerland, one of the reasons that people give out awards is to establish a legacy (遗产). In the case of the Nobel Prizes, they encourage people to achieve more by acknowledging the hard work of top figures in different fields. Awards may also help establish standards of what’s considered high quality. For example, if you’re having a hard time deciding which movie to watch, one of them

江苏省海安高级中学高一英语下学期期中试题(创新实验班)

注意事项: 1.本试卷分第I卷(选择题)和第II卷(非选择题),满分100分,考试时间90分钟。 2.所有试题的答案均填写在答题纸上(选择题部分使用答题卡,请将选择题的答案直接填涂到答题卡上),答案写在试卷上的无效。 第I卷 (选择题共60分) 第一部分阅读理解(共两节,满分40分) 第一节(共15小题;每小题2分,满分30分) 阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项。 A Argument for awards It’s always exciting eve ry year in October when the Nobel Prizes are announced. We get to witness the acknowledgement (表彰) of some of humankind’s greatest minds in six fields – literature (文学), medicine, physics, chemistry, economics and activism for peace. This year, however, part of the excitement will be taken away, since there won’t be a Nobel Prize in literature due to the fact that the Swedish Academy – the institution (机构) that awards the prize – was involved in a sexual harassment scandal. People worry that a scandal like this will affect the reputation of the Nobel Prizes. But at the same time, we have to ask ourselves whether we really need these awards after all. According to Jana Gallus, an economist from the University of Zurich, Switzerland, one of the reasons that people give out awards is to establish a legacy (遗产). In the case of the Nobel Prizes, they encourage people to achieve more by acknowledging the hard work of top figures in different fields. Awards may also help establish standards of what’s considered high quality. For example, if you’re having a hard time deciding which movie to watch, one of them having an Oscar under its belt will probably help you to make your mind up. And by reading the books that have won The Man Booker Prize or listening to songs that have been awarded a Grammy, you get an idea about what “great” literature and music look

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