the best way from Beijing capital international airport to Shijingshan district Holiday inn ?

You can take the airport shuttle bus Zhongguancun Line to Wangheqiao Bus Stop. Then you may transfer bus Yuntong 101 Line to Beijing Shooting Range Bus Stop. Upon arrival, you are about 1.8 kilometers to your hotel, so you can take a taxi to the destination directly. The taxi fare may be around CNY13 in the day time.