<P><FONT color=#0000ff>이현녀 선생님의 답글입니다.</FONT></P> <P><FONT color=#0000ff></FONT> </P> <P><FONT color=#0000ff>두 점 A(a, b), B(c, d) 를 이은 선분 위에 점 P(x, y) 가 있다. </FONT></P> <P><FONT color=#0000ff>선분 AB = 40 이고 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=209 align=absMiddle height=18><PARAM NAME="_cx" VALUE="5529"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/47.8`4.3/12,[1]{5x`equal`3a`plus` 2c , 5y`equal` 3b`plus`2d}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>가 성립할 때, </FONT></P> <P><FONT color=#0000ff>선분 AP 의 길이를 구하여라.</FONT></P> <P><FONT color=#0000ff> </P> <P><FONT color=#000000>위 문제에서 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=209 align=absMiddle height=18><PARAM NAME="_cx" VALUE="5529"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/47.8`4.3/12,[1]{5x`equal`3a`plus` 2c , 5y`equal` 3b`plus`2d}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> 의 양변을 5로 나누어 정리하면 </FONT></P> <P><FONT color=#000000> <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=357 align=absMiddle height=35><PARAM NAME="_cx" VALUE="9445"><PARAM NAME="_cy" VALUE="926"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/79.8`8.2/12,[1]{x`equal`{3a`plus`2c}/{5}`equal`{2c`plus`3a}/{2`plus`3} , y`equal`{3b`plus`2d}/{5}`equal`{2d`plus`3b}/{2`plus`3}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> </FONT></P> <P><FONT color=#000000>로 나타낼 수 있다. 다시 말해서 점 P는 선분 AB 를 2 : 3 로 내분하는 점이다.</FONT></P> <P><FONT color=#000000>따라서 선분 AP = <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=165 align=absMiddle height=35><PARAM NAME="_cx" VALUE="4365"><PARAM NAME="_cy" VALUE="926"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/37.4`8.2/12,[1]{{2}/{5} AB `equal`{2}/{5}`times`40 `equal` 16}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> 이다.</FONT></P> <P align=center> <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=316 align=absMiddle height=110><PARAM NAME="_cx" VALUE="8360"><PARAM NAME="_cy" VALUE="2910"><PARAM NAME="BackColor" VALUE="3145789"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh2/79`27.5/12,[1]A(a, b)/15`21/32,[2]B(c, d)/64`7/22,[3]#ln/[1][2]/0,[4]P(x, y)/[3,L0]/22/0.359,[5]#dm/[1][4]/{2},[6]#dm/[4][2]/{3}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT></P></FONT>
