Question

如圖,菱形OABC的頂點(diǎn)C的坐標(biāo)為(3,4),頂點(diǎn)A在x軸的正半軸上．反比例函數(shù) (x＞0)的圖象經(jīng)過(guò)頂點(diǎn)B,則k的值為       ．

Answer 1

32．

解析試題分析：過(guò)C點(diǎn)作CD⊥x軸,垂足為D,
∵點(diǎn)C的坐標(biāo)為（3,4）,
∴OD=3,CD=4,
∴OC=,
∴OC=BC=5,
∴點(diǎn)B坐標(biāo)為（8,4）,
∵反比例函數(shù)（x＞0）的圖象經(jīng)過(guò)頂點(diǎn)B,
∴k=32．
故答案是32．
考點(diǎn)：反比例函數(shù)綜合題．