更新1:
f(log[(log 10)/(log 2)])=5
已知f(x)=a(x^3)+b(sin x)+4，f(log(log 10/log2))=5，求f(log(log2))?
回答 (2)
2019-05-08 2:52 pm
已知f(x)=ax^3+bSinx+4，f(log[(log 10)/(log 2)])=5求f(log(log2))?
Sol
設m= log(log2)
log[(log 10)/(log 2)]
=loglog 10－log(log 2)
=log1－log(log 2)
=－m
f(x)= ax^3+bSinx+4
f(－m)=a(－m)^3+bSin(－m)+4=5
－a(m)^3－bSinm=1
a(m)^3+bSinm=－1
f(log(log2))
=f(m)
=am^3+bSinm+4
=－1+4
=3
Sol
設m= log(log2)
log[(log 10)/(log 2)]
=loglog 10－log(log 2)
=log1－log(log 2)
=－m
f(x)= ax^3+bSinx+4
f(－m)=a(－m)^3+bSin(－m)+4=5
－a(m)^3－bSinm=1
a(m)^3+bSinm=－1
f(log(log2))
=f(m)
=am^3+bSinm+4
=－1+4
=3
2019-05-08 1:43 pm
3
收錄日期: 2021-04-18 18:15:31
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20190507155653AALfFt2