配套习题- 辅助角公式及应用 -【青果学院】

1/5单选题

难度：

1.

设a＝(sin56°－cos56°)， b＝cos50°·cos128°＋cos40°·cos38°，c＝(cos80°－2cos²50°＋1)，则a，b，c的大小关系是（）

A	a>b>c
B	b>a>c
C	c>a>b
D	a>c>b

正确答案：Qg==

PHA+6Kej77ya5Zug5Li6PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzE1L3JCQUNKbFRaVlFQU0EwNzBBQUFLeDQwZjdNVTI1Ny5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvMTUvckJBQ0psVFpWUVBTQTA3MEFBQUt4NDBmN01VMjU3LnBuZyIgaGVpZ2h0PSI0NSIgd2lkdGg9IjUxMiI+77yMPGJyPjxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny81OS9yQkFDSjFUWlZRUHh3bzBsQUFBRm83b3Z6TjQwNDEucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzU5L3JCQUNKMVRaVlFQeHdvMGxBQUFGbzdvdnpONDA0MS5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSI1NTQiPu+8jDxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9COC81OC9yQkFDRkZUWlZRT2pTWGN3QUFBTVVsdXFuRVE2MzIucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0I4LzU4L3JCQUNGRlRaVlFPalNYY3dBQUFNVWx1cW5FUTYzMi5wbmciIGhlaWdodD0iNDEiIHdpZHRoPSI1NTUiPu+8jOWPiOWboOS4uuWcqDxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC83Qi9DOS9yQkFDRTFUWlZRVFJUanRKQUFBQ012dXlpUlkwOTkucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzdCL0M5L3JCQUNFMVRaVlFUUlRqdEpBQUFDTXZ1eWlSWTA5OS5wbmciIGhlaWdodD0iMjQiIHdpZHRoPSI1OSI+5YaF5L2Z5bym5Ye95pWw5Y2V6LCD6YCS5YeP77yM5omA5LulPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0I4LzU4L3JCQUNGRlRaVlFPUnVKNkNBQUFET25aT19NWTQ4Mi5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQjgvNTgvckJBQ0ZGVFpWUU9SdUo2Q0FBQURPblpPX01ZNDgyLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjE3MSI+77yM5Y2zYyZsdDthJmx0O2IuPC9wPg==

2/5单选题

难度：

2.

函数的最大值是（）

A	7
B
C	4
D	8

正确答案：QQ==

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

3/5单选题

难度：

3.

为了得到函数的图像,可以将函数的图像（）

A	向右平移个单位长度
B	向右平移个单位长度
C	向左平移个单位长度
D	向左平移个单位长度

正确答案：QQ==

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

4/5单选题

难度：

4.

如果若干个函数的图象经过平移后能够重合，则称这些函数为“同簇函数”．给出下列函数：
①；

②；
③；

④．
其中“同簇函数”的是（）

A	①②
B	①④
C	②③
D	③④

正确答案：RA==

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

5/5单选题

难度：

5.

已知向量，若函数为偶函数，则的值可能是（）

A
B
C
D

正确答案：QQ==

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