高考数学专题01经典母题30题(理)-高考数学走出题海之黄金30题系列(解析板).docx

1 1.【2017·全国新课标I】B I work with Volunteers for Wildlife, a rescue and education organization at Bailey Arboretum in Locust Valley. Trying to help injured, displaced or sick creatures can be heartbreaking; survival is never certain. However, when it works, it is simply beautiful. I got a rescue call from a woman in Muttontown. She had found a young owl(猫头鹰) on the ground. When I arrived, I saw a 2-to 3-week-old owl. It had already been placed in a carrier for safety. I examined the chick(雏鸟) and it seemed fine. If I could locate the nest, I might have been able to put it back, but no luck. My next work was to construct a nest and anchor it in a tree. The homeowner was very helpful. A wire basket was found. I put some pine branches into the basket to make this nest safe and comfortable. I placed the chick in the nest, and it quickly calmed down. Now all that was needed were the parents, but they were absent. I gave the homeowner a recording of the hunger screams of owl chicks. These advertise the presence of chicks to adults; they might also encourage our chick to start calling as well. I gave the owner as much information as possible and headed home to see what news the night might bring. A nervous night to be sure, but sometimes the spirits of nature smile on us all! The homeowner called to say that the parents had responded to the recordings. I drove over and saw the chick in the nest looking healthy and active. And it was accompanied in the nest by the greatest sight of all — LUNCH! The parents had done their duty and would probably continue to do so. 24. What is unavoidable in the author‟s rescue work according to paragraph 1? A. Efforts made in vain. B. Getting injured in his work. C. Feeling uncertain about his future. D. Creatures forced out of their homes. 25. Why was the author called to Muttontown? A. To rescue a woman. B. To take care of a woman. C. To look at a baby owl.

2018年高考数学走出题海之黄金30题系列

专题四 名校模拟精华

一、填空题

1．【复数的运算、复数的几何意义】【江苏省2019届高三第二学期联合调研测试】在复平面内，

复数

对应的点位于第_______象限．

【答案】四

【解析】

因为

所以复数

对应的点为，位于第四象限

故答案为：四.

2．【集合的运算】【江苏省2019

届高三第二学期联合调研测试】已知集合

，，则集

合中元素的个数为____.

【答案】4

【解析】

因为集合A＝{l，2，3}，B＝{2，3，4}

所以

AB＝{l，2，3，4}，有4个元素

故答案为：4.

3．【三角恒等变换与三角函数的性质】【山东省枣庄市2019届高三二调】设当x=θ时，函数f（x）=2sinx+cosx

取得最小值，则cos

（）=______．

【答案】

【解析】

函对于数f（x）

=2sinx+cosx=sin（x+α），

其中，cosα

=，sinα

=，α为锐角．

当x=θ时，函数取得最小值，

∴sin（θ+α）

=-，即sin（θ+α）=-1，∴cos（θ+α）=0．

故可令θ+α

=-，即θ

=--α，

故

故答案为：．

4．【数学文化与几何概型】【山东省青岛市2019届高三3月一模】部分与整体以某种相似的方式呈现称为

分形，谢尔宾斯基三角形是一种分形，由波兰数学家谢尔宾斯基1915年提出.具体操作是取一个实心三角

形，沿三角形的三边中点连线，将它分成4个小三角形，去掉中间的那一个小三角形后，对其余3个小三

角形重复上述过程得到如图所示的图案，若向该图案随机投一点，则该点落在黑色部分的概率是

__________．

【答案】

【解析】

由图可知：黑色部分由9个小三角形组成，该图案由16个小三角形组成，这些小三角形都是全等的，设“向

该图案随机投一点，则该点落在黑色部分”为事件A，由几何概型中的面积型可得：P（A）

＝，

故选：B．

5．【双曲线标准方程及其几何性质】【江苏省海安高级中学2019届高三四月模拟】

1 专题01 经典母题30题

【经典1】 — Why did you laugh just now？

— Ted wanted to tell us ______ very funny story, but he forgot ______ ending himself.

A. a; an B. the; the C. the; a D. a; the

【答案】D

考点：考查冠词

【经典2】—— She has cut the cake into pieces. Which piece do you want?

—— The one. It’s the biggest.

A. five; four B. five; fourth C. fifth; fourth D. fifth; four

【答案】B

【解析】

试题分析：句意：她把蛋糕切成了五块。你想要哪一块？——第四块。这是最大的。结合语境可知前一空表示数量，故用基数词。后一空表示顺序，故用序数词，选B。

考点：考查数词

【经典3】— Help to some fish, kids.

— Thanks.

A. you B. your C. yourselves D. yours

【答案】C

【解析】

试题分析：you你，你们；your你的，你们的；yourselves你们自己。句意：孩子们，请随便吃些鱼吧！——多谢。短语help oneself to something，随便吃些„„，故选C。

考点：考查人称代词辨析

【经典4】—— The apple tastes good.

—— Yes. Would you like one?

A. another B. each C. any D. some 2 【答案】A

1 专题01 经典母题30题

1.【2017·全国新课标I】B

I work with Volunteers for Wildlife, a rescue and education organization at Bailey Arboretum in Locust

Valley. Trying to help injured, displaced or sick creatures can be heartbreaking; survival is never certain. However,

when it works, it is simply beautiful.

I got a rescue call from a woman in Muttontown. She had found a young owl(猫头鹰) on the ground. When I

arrived, I saw a 2-to 3-week-old owl. It had already been placed in a carrier for safety.

I examined the chick(雏鸟) and it seemed fine. If I could locate the nest, I might have been able to put it back,

but no luck. My next work was to construct a nest and anchor it in a tree.

The homeowner was very helpful. A wire basket was found. I put some pine branches into the basket to make

this nest safe and comfortable. I placed the chick in the nest, and it quickly calmed down.