Giải thích các bước giải:
a.Ta có $RK//AP//QH$
$\to\dfrac{KP}{PB}=\dfrac{AR}{AB}=\dfrac{AR}{AR+RB}=\dfrac{4}{5}$
b.Ta có $QH//AP\to\dfrac{HP}{PC}=\dfrac{AQ}{AC}=\dfrac{AQ}{AQ+QC}=\dfrac{1}{4}$
c.Từ a,b $\to HP=\dfrac{PC}{4}, KP=\dfrac{4PB}{5}$
$\to\dfrac{HP}{KP}=\dfrac{5PC}{16PB}=\dfrac{5}{16}.\dfrac{PC}{PB}=\dfrac{5}{16}.2=\dfrac{5}{8}$
d.Ta có : $IP//RK//QH\to\dfrac{IQ}{IR}=\dfrac{HP}{KP}=\dfrac{5}{8}$