题干

如图,把△ABC纸片沿DE折叠,当点A落在四边形BCDE内部时,


(1)写出图中一对全等的三角形,并写出它们的所有对应角;
(2)设△AED的度数为x,∠ADE的度数为y,那么∠1,∠2的度数分别是多少?(用含有xy的代数式表示)
(3)∠A与∠1+∠2之间有一种数量关系始终保持不变,请找出这个规律.

上一题 下一题 0.0难度 选择题 更新时间:2019-02-06 10:38:09

答案(点此获取答案解析)

解:(1)△EAD≌△EA'D,其中∠EAD=∠EA'D,∠AED=∠A'ED,∠ADE=∠A'DE;
(2)∠1=180°-2x,∠2=180°-2y;
(3)∵∠1+∠2=360°-2(x+y)=360°-2(180°-∠A)=2∠A.
规律为:∠1+∠2=2∠A.

同类题3

根据短文理解,选择正确答案。

    Disposing (处理) of waste has been a problem since humans started producing it. As more and more people choose to live close together in cities,the waste disposal problem becomes increasingly difficult.

    During the eighteenth century,it was usual for several neighboring towns to get together to select a faraway spot as a dump site. People would transport household rubbish,rotted wood and old possessions to the site. Regularly some of the trash was burned and the rest was buried. The unpleasant sights and smells caused no problem because nobody lived close by. Factories and some other industrial sites also had waste to be disposed of. Those located on rivers often just poured the unwanted remains into the water. Others built huge burners with chimneys to deal with the problem.

    Several facts make these choices unacceptable to modern society. The first problem is space. Dumps(垃圾场), are most needed in heavily populated areas. Such areas rarely have empty land suitable. Farm areas are refusing to accept rubbish from elsewhere,cheap land in major city areas to dispose wastes is nonexistent(不存在的). Awareness of pollution dangers has resulted in more strict rules of waste disposal. Pollution of rivers,ground water,land and air is a price people can no longer pay to get rid of waste. The amount of waste,however, continues to grow.

    Recycling efforts have become commonplace,and many towns require their people to take part. Even the most efficient recycling programs,however,can hope to deal with only about 50 percent of a city's reusable waste,so more people should be involved in recycling programs.