题目

WE NEED 1．Your NAME, YEAR of birth, HOME ADDRESS／CITY／STATE／PHONE NUMBER, SCHOOL NAME （and English teacher） and EMAIL ADDRESS, so we can email you if you've published. For photos, place the information on the back of each envelope: PLEASE DON'T FOLD. 2．This statement MUST BE WRITTEN on each work: “I promise the above work is completely original.” and sign your name. SEND IT ALL SUMMER！     By mail—Teen Ink, Box 30 Newton, MA 02461 On the web—TeenInk.com / Submissions By email—Submissions@TeenInk.com THE FINE PRINT l         Type print carefully in ink. Kee我们把能平分四边形面积的直线称为“好线”．利用下面的作图，可以得到四边形的“好线”：在四边形ABCD中，取对角线BD的中点O，连接OA、OC．显然，折线AOC能平分四边形ABCD的面积，再过点O作OE∥AC交CD于E，则直线AE即为一条“好线”．（1）试说明直线AE是“好线”的理由；（2）如下图，AE为一条“好线”，F为AD边上的一点，请作出经过F点的“好线”，并对画图作适当说明（不需要说明理由）．