在中,角??所對的邊分別為??,已知,,.
16.(本小題滿分12分)
⑥當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.
⑤當a<時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x沒有公共點;
④當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;
③當a=時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x沒有公共點;
②當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;
①當a>時,函數(shù)f (x)=a x (a>1)的圖像與直線y=x沒有公共點;
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?”有如下觀點:
觀點①:當a>1時兩函數(shù)圖像沒有公共點,只有當0<a<1時兩函數(shù)圖像才有公共點.
觀點②:利用結論:“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)的圖像有公共點則這些公共點都在直線y=x上”,可先討論函數(shù)f (x)=a x (a>1)的圖像與直線y=x的公共點的個數(shù),為此可構造函數(shù)F (x)=a x-x(a>1),然后可利用F (x)的最小值進行討論.
請參考上述觀點,并判斷以下結論中正確的是 (填寫序號).
恒成立,則實數(shù)的最大值為 .
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