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发布时间:2021-02-18 来源:简单网校 发布人:tusya

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数学知识点九年级一、平移变换:

1.概念:在平面内,将一个图形沿着某个方向移动一定的距离,这样的图形运动叫做平移。

2.性质:(1)平移前后图形全等;

(2)对应点连线平行或在同一直线上且相等。

3.平移的作图步骤和方法:

(1)分清题目要求,确定平移的方向和平移的距离;(2)分析所作的图形,找出构成图形的关健点;(3)沿一定的方向,按一定的距离平移各个关健点;(4)连接所作的各个关键点,并标上相应的字母;(5)写出结论。

二、旋转变换:

1.概念:在平面内,将一个图形绕一个定点沿某个方向转动一个角度,这样的图形运动叫做旋转。

说明:(1)图形的旋转是由旋转中心和旋转的角度所决定的;(2)旋转过程中旋转中心始终保持不动.(3)旋转过程中旋转的方向是相同的.(4)旋转过程静止时,图形上一个点的旋转角度是一样的.⑤旋转不改变图形的大小和形状.

2.性质:(1)对应点到旋转中心的距离相等;

(2)对应点与旋转中心所连线段的夹角等于旋转角;

(3)旋转前、后的图形全等.

3.旋转作图的步骤和方法:(1)确定旋转中心及旋转方向、旋转角;(2)找出图形的关键点;(3)将图形的关键点和旋转中心连接起来,然后按旋转方向分别将它们旋转一个旋转角度数,得到这些关键点的对应点;(4)按原图形顺次连接这些对应点,所得到的图形就是旋转后的图形.

说明:在旋转作图时,一对对应点与旋转中心的夹角即为旋转角.

常见考法

(1)把平移旋转结合起来证明三角形全等;(2)利用平移变换与旋转变换的性质,设计一些题目。

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高考英语阅读理解试题之生态环保类

The need to feed a growing population is putting much pressure on the world‘s supply of water. With 97% of the world’s water too salty to be drunk or used in agriculture, the worldwide supply of water needs careful management, especially in agriculture. Although the idea of a water shortage(短缺)seems strange to someone fortunate enough to live in a high rainfall country, many of the world‘s agricultural industries experience constant water shortages.

Although dams can be built to store water for agricultural use in dry areas and dry seasons, the costs of water redistribution(重新分配)are very high. Not only is there the cost of the engineering itself, but there is also an environmental cost to be considered. Where valleys(山谷)are flooded to create dams, houses are lost and wildlife homes destroyed. Besides, water may flow easily through pipes to fields, but it cannot be transported from one side of the world to the other. Each country must therefore rely on the management of its own water to supply its farming requirements.

This is particularly troubling for countries with agricultural industries in areas dependent on irrigation (灌溉)。 In Texas, farmers’ overuse of irrigation water has resulted in a 25% reduction of the water stores. In the Central Valley area of southwestern USA, a huge water engineering project provided water for farming in dry valleys, but much of the water use has been poorly managed.

Saudi Arabia‘s attempts to grow wheat in desert areas have seen the pumping of huge quantities of irrigation water from underground reserves. Because there is no rainfall in these areas, such reserves can only decrease, and it is believed that fifty years of pumping will see them run dry.

1. From the first two paragraphs we learn that________.

A. much of the world’s water is available for use

B. people in high rainfall countries feel lucky

C. the costs of water redistribution should be considered

D. water can be easily carried through pipes across the world

2. Which of the following is TRUE?

A. The water stores in Texas have been reduced by 75%.

B. Most industries in the world suffer from water shortages.

C. The underground water in Saudi Arabia might run out in 50 years.

D. Good management of water use resulted from the project in the Central Valley.

3. What is most likely to be discussed in the paragraph that follows?

A. Steps to improving water use management.

B. Ways to reduce the costs of building dams.

C. Measures to deal with worldwide water shortages.

D. Approaches to handling the pressure on water supply.

4. The text is mainly about________.

A. water supply and increasing population

B. water use management and agriculture

C. water redistribution and wildlife protection D. water shortages and environmental protection           
  

答案与解析

世界的可用淡水资源有限,但农业在利用水资源过程中存在不尽如人意之处,本文指出了其中的一些问题。

1.C 细节理解题,由文中第一段第二句“With 97% of the world‘s water too salty to be drunk or used in agriculture.。.”可知A选项错误;由第一段第三句“。..strange to someone fortunate enough to live in a high rainfall country.。.”可知B选项不合文意;第二段前两句指出水资源的重新分配的费用极高,一方面是水利过程本身的造价,另一方面也会对生态造成极大的破坏,所以选项C正确,根据第二段第四句“。..it cannot be transported from one side of the world to the other.”可知D项不正确。

2.C 细节理解题。根据文章第三段第二句“。..has resulted in a 25% reduction of the water stores.”可判断A选项不正确;由第一段最后一句可判断B选项错误;由文章最后一句“。..fifty years of pumping will see them run dry.”可知C项正确。根据文章第三段最后一句可知D项不正确。

3.A 判断推理题。文章前面一部分主要是讲述农业在利用水资源过程中存在的问题,接下来应该是介绍加强水资源管理的方法和措施,所以A选项正确。

4.B 主旨大意题。由第一段第二句可知。

 

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