在中,角
?
?
所對的邊分別為
?
?
,已知
,
,
.
16.(本小題滿分12分)
⑥當(dāng)a<時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x有兩個相異的公共點(diǎn).
⑤當(dāng)a<時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x沒有公共點(diǎn);
④當(dāng)a=時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x有唯一的公共點(diǎn);
③當(dāng)a=時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x沒有公共點(diǎn);
②當(dāng)a>時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x有兩個相異的公共點(diǎn);
①當(dāng)a>時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x沒有公共點(diǎn);
15.對于問題:“函數(shù)f (x)=a x (a>1)與其反函數(shù)f -1 (x)=logax的圖像有多少個公共點(diǎn)?”有如下觀點(diǎn):
觀點(diǎn)①:當(dāng)a>1時兩函數(shù)圖像沒有公共點(diǎn),只有當(dāng)0<a<1時兩函數(shù)圖像才有公共點(diǎn).
觀點(diǎn)②:利用結(jié)論:“若函數(shù)y=f (x)在其定義域上是增函數(shù),且y=f (x)的圖像與其反函數(shù)y=f -1 (x)的圖像有公共點(diǎn)則這些公共點(diǎn)都在直線y=x上”,可先討論函數(shù)f (x)=a x (a>1)的圖像與直線y=x的公共點(diǎn)的個數(shù),為此可構(gòu)造函數(shù)F (x)=a x-x(a>1),然后可利用F (x)的最小值進(jìn)行討論.
請參考上述觀點(diǎn),并判斷以下結(jié)論中正確的是 (填寫序號).
恒成立,則實(shí)數(shù)
的最大值為 .
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