从一加到一千等多少?
\u4ece\u4e00\u52a0\u5230\u4e00\u5343\u7b49\u4e8e\u591a\u5c11\uff1f\u9996\u9879\u52a0\u672b\u9879\u4e58\u4ee5\u9879\u6570 \uff081+1000\uff09*\uff081000/2\uff09=1001*500=500500
1+2+3+\u2026\u2026+1000
=(1+1000)\u00d71000/2
=500500
=500500
绛旓細瑙o細1+2+3+...+1000 =(1+1000)*1000/2 =1001*500 =500500锛堥椤瑰姞鏈」鐨勫拰涔樹互椤规暟闄や互浜岋紝绛夊樊鏁板垪鍏紡锛
绛旓細1+2+3+...+1000 =(1+1000)x1000梅2 =1001x500 =500500 锛屼綘濂斤紝鏈宸茶В绛,濡傛灉婊℃剰 璇风偣鍙充笅瑙掆滈噰绾崇瓟妗堚濄
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绛旓細锛1+1000锛*1000/2=500500 绛変簬500500
绛旓細500500 灏500鍜 1000鎻愬嚭鏉 杩樺墿涓998涓暟 1+999 2+998...杩欐牱灏辨湁499涓1000 499000+1000+500
绛旓細500*(1+1000)=500x1001=500500
绛旓細1+1000=1001 2+999=1001...濡傛绫绘帹 1+2+3+...1000=锛1+1000)1000/2=500500
绛旓細楂樻柉鏄繖涔堢畻鐨勶紝锛1+999锛+锛2+998锛夈傘傘+500+1000=499000+500+1000=500500 褰撴椂浠栨墠涓婁簲鍏勾绾.鍏紡鏄紙1+n锛*n/2
绛旓細1+1000=1001 2+999=1001 3+998=1001 ...498+503=1001 499+502=1001 500+501=1001 浠ユ绫绘帹鍙煡浠1鍒1000涓鍏辨湁500缁勭瓑浜1001鐨勪袱鏁颁箣鍜岋紝鍐嶅姞涓1001鏈韩锛屼竴鍏辨槸501涓紝杩501涓1001鐨勫拰灏卞緢瀹规槗璁$畻浜嗭紝鏄501501銆
绛旓細=(1+1001)脳1001梅2 =501501