题干

阅读下面材料:

根据两角和与差的正弦公式,有

sin(α+β)=sinαcosβ+cosαsinβ﹣﹣﹣﹣﹣﹣①

sin(α﹣β)=sinαcosβ﹣cosαsinβ﹣﹣﹣﹣﹣﹣②

由①+②得sin(α+β)+sin(α﹣β)=2sinαcosβ﹣﹣﹣﹣﹣﹣③

令α+β=A,α﹣β=B 有α=

A
+
B
2
,β=
A
B
2

代入③得 sinA+sinB=2sin

A
+
B
2
cos
A
B
2

类比上述推证方法,根据两角和与差的余弦公式,证明:

cosA﹣cosB=﹣2sin

A
+
B
2
sin
A
B
2
上一题 下一题 0.0难度 选择题 更新时间:2019-12-02 11:10:28

答案(点此获取答案解析)

证明:因为cos(α+β)=cosαcosβ﹣sinαsinβ,﹣﹣﹣﹣﹣﹣①

cos(α﹣β)=cosαcosβ+sinαsinβ②

① ﹣②得cos(α+β)﹣cos(α﹣β)=﹣2sinαsinβ③…

令α+β=A,α﹣β=B有α= A+B

同类题1

下列物质中,含有氧分子的是(  )

同类题2

根据短文内容和首字母提示,填写所缺单词。
       The development of the English language took a giant step in 1607. Three small British ships c____  the Atlantic Ocean. They began to call areas of their new land by words borrowed from the native people. For example, many of the great r____ in the United States are taken from American Indian words. The Mississippi, the Tennessee, the Missouri are examples. This borrowing or adding of foreign words to English was a w____ of expanding(扩大)the language. The names of three days of the week are good examples of this. The people from Northern Europe honored three gods with a special day each week. The gods were Odin, Thor and Freya. Odin's-day became Wednesday in English, Thor's-day became T____  and Freya's-day became Friday.
     Experts cannot explain many English words. For h____  of years, a dog was called a “hound.” The word is still u____  but not as commonly as the word “dog.” English speakers just started using it. Other words whose origins are unknown i____ “fun,” “bad,” and “big.”
    English speakers also continue to invent n____  words by linking old words together. A good example is the words “motor” and “hotel.” Many years ago s____  linked them together into the word “motel.” A motel is a small hotel near a road where people travelling in cars can stay for the night.
    Other words come from the f____  letters of names of groups or devices. For example, the North Atlantic Treaty Organization is usually called NATO.

同类题3

下列过程与盐类水解无关的是

同类题4

已知等差数列{an}中,a7+a9=16,a4=1,则a12的值是(   ).

同类题5

清明节快到了,家在外地的王伟必须随父母回老家祭祖,因此要请假三天。下面是王伟写给他班主任王老师的请假条,请指出其中不恰当的地方并修改。

请假条

    清明节是我国乃至世界的传统节日,是祭祖和扫墓的日子。为继承传统,祭祀先人,令尊决定带家人回乡下老家扫墓。特向您请假,恳请老师批准。

请假人:王伟

2016年4月2日

小学学科试题库
初中学科试题库
高中学科试题库