濂ユ灄鍖瑰厠鏁板绔炶禌璇曢锛堝嚑浣曢儴鍒嗭級
Mathematics Olympic test
(
geometric
part
)
1.
宸茬煡鍦ㄦ褰?/p>
ABCD
涓紝AD鈭C锛屸垹B=40掳锛屸垹C=50掳锛岀偣
E,F,M,N
鍒嗗埆涓哄洓鏉¤竟
鐨勪腑鐐癸紝姹傝瘉锛?/p>
BC=EF+MN.
銆愮畝鍗曘�?/p>
2.
宸茬煡鍦ㄥ钩琛屽洓杈瑰舰
ABCD
涓紝
瀵硅绾?/p>
AC
涓?/p>
BD
鐩镐氦浜庣偣
O
锛?/p>
P
涓哄钩琛屽洓杈瑰舰
ABCD
澶栦竴鐐癸紝涓斺垹APC=鈭燘PD=90掳锛屾眰璇侊細骞宠鍥涜竟褰?/p>
ABCD
涓虹煩褰?/p>
銆愮畝鍗曘�?/p>
3.
宸茬煡鍦ㄤ笁瑙掑舰
ABC
涓紝
AB=AC
锛孋D鈯B
浜?/p>
D
锛?/p>
P
涓?/p>
BC
涓婁竴鐐癸紝PE鈯B
浜?/p>
E
锛?/p>
PF鈯C
浜?/p>
F.
姹傝瘉锛?/p>
PE+PF=CD.
銆愮畝鍗曘�?/p>