内蒙通辽市古科左后旗甘旗卡第二高级中学2017-2018学年高一下学期期末考试数学试题

适用年级:高一
试卷号:581449

试卷类型:期末
试卷考试时间:2018/7/29

1.单选题(共12题)

1.
在△ABC中,内角A,B,C的对边分别为a,b,c,a=1,c=2,B=30°,则△ABC的面积为( )
A.B.C.1D.
2.
中,,那么等于(   )
A.B.C.D.
3.
中,,那么等于
A.B.C.D.
4.
中,已知,则(    )
A.5B.10C.D.
5.
的内角的对边分别为,若成等比数列,且,则( )
A.B.C.D.
6.
的内角的对边分别是且满足,则是( )
A.锐角三角形B.直角三角形C.钝角三角形D.等腰三角形
7.
在各项都为正数的等比数列中,首项,前3项和为21,则(  )
A.84B.72C.33D.189
8.
记等差数列的前项和为
A.16B.24C.36D.48
9.
是等比数列,其公比是,且成等差数列,则等于( )
A.-1或2B.1或-2C.1或2D.-1或-2
10.
已知是等比数列,,公比,第3项至第的和是720,则 (  )
A.4B.5C.6D.7
11.
,则下列不等式成立的是
A.B.C.D.
12.
若变量x,y 满足约束条件,则的最大值是
A.0B.2C.5D.6

2.选择题(共1题)

13.

阅读下列四篇短文,从每小题后所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该选项涂黑。

    One day when I was 12, my mother gave me an order: I was to walk to the public library, and borrow at least one book for the summer. This was one more weapon for her to defeat my strange problem — inability to read.

    In the library, I found my way into the “Children's Room.” I sat down on the floor and pulled a few books off the shelf at random. The cover of a book caught my eye. It presented a picture of a beagle. I had recently had a beagle, the first and only animal companion I ever had as a child. He was my secret sharer, but one morning, he was gone, given away to someone who had the space and the money to care for him. I never forgot my beagle.

    There on the book's cover was a beagle which looked identical to my dog. I ran my fingers over the picture of the dog on the cover. My eyes ran across the title, Amos, the Beagle with a Plan. Unknowingly, I had read the title. Without opening the book, I borrowed it from the library for the summer.

    Under the shade of a bush, I started to read about Amos. I read very, very sl owly with difficulty. Though pages were turned slowly, I got the main idea of the story about a dog who, like mine, had been separated fr om his family and who finally found his way back home. That dog was my dog, and I was the little boy in the book. At the end of the story, my mind continued the final scene of reunion, on and on, until my own lost dog and I were, in my mind, running together.

    My mother's call returned me to the real world. I suddenly realized something: I had read a book, and I had loved reading that book. Everyone knew I could not read. But I had read it. Books could be incredibly wonderful and I was going to read them.

    I never told my mother about my “miraculous” (奇迹般地) experience that summer, but she saw a slow but remarkable improvement in my classroom performance during the next year. And years later, she was proud that her son had read thousands of books, was awarded a PhD in literature, and authored his own books, articles, poetry and fiction. The power of the words has held.

3.填空题(共4题)

14.
中,,则此三角形的最大边的长为
15.
等差数列中,已知,则 __________.
16.
不等式的解集为_________.
17.
已知变量满足的约束条件为,且目标函数为,则的最大值是______ .

4.解答题(共6题)

18.
在△ABC中,角ABC 的对边分别是,已知
(1)求角B的大小;
(2)求三角形ABC的面积.
19.
的三内角的对边分别是,且
(Ⅰ)求角的大小;
(Ⅱ)若,求的面积.
20.
已知等差数列的首项,公差,前项和为.
(1)求数列的通项公式;
(2)设数列项和为,求.
21.
若数列是公差小于零的等差数列,数列是等比大于零的等比数列,且,
.
(1)求数列的通项公式;
(2)设数列的前项和为,求的最大值.
22.
在等比数列中.
(1)已知,求
(2)已知,求.
23.
解不等式
试卷分析
  • 【1】题量占比

    单选题:(12道)

    选择题:(1道)

    填空题:(4道)

    解答题:(6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:22