题干

《数学九章》中对已知三角形三边长求三角形的面积的求法填补了我国传统数学的一个空白,与著名的海伦公式完全等价,由此可以看出我国古代已具有很高的数学水平,其求法是:“以小斜幂并大斜幂减中斜幂,余半之,自乘于上.以小斜幂乘大斜幂减上,余四约之,为实.一为从隔,开平方得积.”若把以上这段文字写成公式,即S=
1
4
[c2a2(
c
2
+
a
2
b
2
2
)
2
]
.现有周长为2 2 + 5 的△ABC满足sinA:sinB:sinC=( 2 ﹣1): 5 :( 2 +1),试用以上给出的公式求得△ABC的面积为(   )

A:34

B:32

C:54

D:52

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A

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    Radar is an electronic device that detects planes, ships, coastlines, landmarks, and even storm clouds. The name radar comes from the first letters of the words radio direction and ranging. As the human eye uses light waves to see, radar “sees” with radio waves. Without radar, planes could not land safely in bad weather and ships could not move safely in thick fog____

    In the 1800s it was discovered that radio waves could be reflected from objects. But scientists did not make great advances in radar research until the 1930s, when the world was threatened by war____ It has been used widely in almost every conflict since then.

    Echoes make it possible for radar to work. When a beam of radio waves is sent out, it strikes on an object and returns an echo. This echo is picked up by radar and recorded on a screen similar to television screen. On the screen an observer sees a flash, or a blip, that shows the direction and distance of the object.____

    Airport control towers use radar to guide planes in for safe landings. Almost all large ships depend on radar to prevent collisions with icebergs or other ships____Weather forecasters “see” the size, direction, and speed of storms on radar screens. Astronomers can even use radar to measure accurately the distance to the moon. Thus, the device has generated major advancements.

    ____Huge radar antennas have been installed all over the United States. They guard us against possible enemy attacks. We have ballistic—missiles (战略导弹)warning systems that can alert us to attacks when missiles are more than 1,000 miles away. Other radar systems warn us against enemy aircraft and even spying space satellites.

A. Police track speeders in radar-equipped cars.

B. These measurements are now highly accurate.

C. The device can be used in a wide range of fields.

D. It is therefore especially valuable to shippers and travelers.

E. During World War II many countries used radar effectively.

F. Today radar is used by commercial airliners and weather forecasters.

G. Strengthening national defense is one of radar's most important functions.