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.
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;
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;
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;
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;
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;
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(dāng)a>1時兩函數(shù)圖像沒有公共點,只有當(dāng)0<a<1時兩函數(shù)圖像才有公共點.
觀點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(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,并判斷以下結(jié)論中正確的是 (填寫序號).
恒成立,則實數(shù)的最大值為 .
湖北省互聯(lián)網(wǎng)違法和不良信息舉報平臺 | 網(wǎng)上有害信息舉報專區(qū) | 電信詐騙舉報專區(qū) | 涉歷史虛無主義有害信息舉報專區(qū) | 涉企侵權(quán)舉報專區(qū)
違法和不良信息舉報電話:027-86699610 舉報郵箱:58377363@163.com