?$解?:(1)?在? y=-2 x+4 ?圖象上。$?
?$?\text { 當(dāng) } x=0 \text { 時(shí) } y=4 ?$?
?$∴?O B =4 ,B(0.4) ?$?
?$?\text { 當(dāng) } y=0 \text { 時(shí), }-2 x+4=0 ?$?
?$∴?x=2 ?$?
?$∴?O A=2 ?$?
?$∴?A(2.0)?$?
?$正方形? A B C D ?中,? A B=A D ∠B A D=90° ?$?
?$過(guò)點(diǎn)?D?作?DE⊥x?軸于?E,?過(guò)?C?作?CF⊥y?軸于點(diǎn)?F,?與反比例函數(shù)交于點(diǎn)?G,?$?
?$∴?∠D E A=90° ?$?
?$∴?∠D A E+∠A D E=90° ?$?
?$∵?∠B A O+∠D A E=180°-∠B A D=180°-90°=90° ?$?
?$∴?∠B A O=∠A D E \text { (同角的余角相等) } ?$?
?$?\text { 在 } \triangle A B O \text { 和 } \triangle D A E \text { 中 } ?$?
?$?\begin {cases}{∠B O A=∠A E D=90° }\\{∠B A O=∠A D E }\\{B A=A D}\end {cases}?$?
?$∴?\triangle A B O \cong \triangle D A E(A A S) ?$?
?$∴?D E=O A=2 . \quad A E=O B=4 \text { (全等三角形對(duì)應(yīng)邊相等) } ?$?
?$∴?O E=O A+A E=6 ?$?
?$∴?D(6,2) ?$?
?$∴?D(6,2) \text { 在 } y=\frac{k}{x} ?上\ $?
?$∴?2=\frac {k}{6} ?$?
?$∴?k=12?$?