题干

庄子说:“一尺之椎,日取其半,万世不竭”.这句话(文字语言)表达了古人将事物无限分割的思想,用图形语言表示为图1,按此图分割的方法,可得到一个等式(符号语言):1=
1
2
+
1
2
2
+
1
2
3
+…+
1
2
n
+….
图2也是一种无限分割:在△ABC中,∠C=90°,∠B=30°,过点C作CC1⊥AB于点C1,再过点C1作C1C2⊥BC于点C2,又过点C2作C2C3⊥AB于点C3,如此无限继续下去,则可将利△ABC分割成△ACC1、△CC1C2、△C1C2C3、△C2C3C4、…、△Cn2Cn1Cn、….假设AC=2,这些三角形的面积和可以得到一个等式是____
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答案(点此获取答案解析)

2 3 = 32

同类题2

What makes the world become smaller? Some inventions, It began in the 11th century, But it has developed greatly in the last century. Let's take a look at the five top inventions.
Movable Type(活字印刷) :By using Movable Type, books could be printed cheaply and easily. Bi Sheng invented Movable Type in China in the 11th century.
Telephone: The inventor Alexander Graham Bell made the first telephone call in 1876." Mr. Watson, come here. I want you ,"he said to his assistant(助手) over the phone line. And with those famous words, the world was about to get much smaller.
Airplane: The Wright brothers made the first powered flight in1903.Air travel has made the far way places suddenly become a lot closer.
Satellites: The Soviet Union sent up the world's first satellite in 1957. This begin the Space Age. Satellites have helped scientists study the earth. Much of our knowledge of the world has come from the information recorded by satellites.
Internet: When the Internet was created in 1969. only a few people knew about it. But more than 650 million people in the world use it now. The Internet has made information about anything easy to get.


Title: ____ 
The top InventionsMovable TypeTelephoneAirplane   Satellites      Internet
/     The Soviet Union    /
In 193     in 1957       in 1969
making the ____ in formation
farway  ____     easy to
places     information    get
closer     recordedly
satelltes
____ China/
When____ In 1876
HowBooks printed
Cheaply and
Easily anything
The world
got a lot
smaller