[數學][問題]高中向量
由 yoyoyoyo 於 星期五 七月 14, 2006 10:14 am
#ed_op#DIV#ed_cl#總共3題#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1.平行四邊形ABCD中,E為AD上一點,且AE=2ED,F為AB上一點,且AF=3FB,若BE與DF交於一點P,且AP=xAB+yAD(AP,AB,AD為向量),則x=?y=?#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#2.若三角形ABO重心為G,過G之一直線與OA,OB相交於P.Q兩點,若OP=hOA,OQ=kOB(OP,OP,OQ,OB均為向量),則(1/h)+(1/k)=?#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#3.O,A,B三點不共線,若OC=3OA,OD=4OB,設AD,BC交於E,OE=(8/11)OA+(9/11)OB(OE.OA.OB為向量),延長OE交CD於F,若OF=kOE(OF.OE為向量),則k=?#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1.2題請不要用孟式定理和帥式定理,第3題可以#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#