Question

若直角坐標(biāo)平面內(nèi)不同的兩點(diǎn)滿足條件：①都在函數(shù)的圖像上；②關(guān)于原點(diǎn)對(duì)稱(chēng)，則稱(chēng)點(diǎn)對(duì)是函數(shù)的一對(duì)“友好點(diǎn)對(duì)”（注：點(diǎn)對(duì)與看作同一對(duì)“友好點(diǎn)對(duì)”）．若函數(shù)，則此函數(shù)的“友好點(diǎn)對(duì)”有（    ）對(duì)．

A．

B．

C．

D．

Answer 1

C

解析試題分析：函數(shù) 關(guān)于坐標(biāo)原點(diǎn)對(duì)稱(chēng)的函數(shù)為 與函數(shù) 的交點(diǎn)個(gè)數(shù)（如下圖）即為“友好點(diǎn)對(duì)”的個(gè)數(shù)，從圖象上可知有兩個(gè)交點(diǎn).

考點(diǎn)：求函數(shù)解析式,函數(shù)的奇偶性,二次函數(shù),對(duì)數(shù)函數(shù)的圖象.