求数阵题目与答案
\u6c42\u6570\u9635\u7684\u9898\u76ee\uff08\u542b\u7b54\u6848\uff09
692 514 837 718 632 954 453 879 216 926 187 543 145 326 798 387 495 162 861 253 479 239 741 685 574 968 321
\u9996\u5148\uff0c\u7ea0\u6b63\u4e00\u4e0b\u697c\u4e3b\u7684\u9898\u76ee\uff0c\u6570\u9635\u4e2d\u7684\uff083\uff0c3\uff09\u5e94\u8be5\u4e3a13
\u5f00\u59cb\u89e3\u9898\uff1a
\u7531\u8868\u53ef\u5f97\u6a2a\u6392\u6570\u5217\u7684\u89c4\u5f8b\u662f\uff08n\uff0c1\uff09=n+[(n-1)(n-2)/2]
\u6240\u4ee5\uff08100\uff0c1\uff09\u6240\u8868\u793a\u7684\u6570\u662f\uff08 4951\uff09\uff1b\uff08n\uff0c1\uff09\u6240\u8868\u793a\u7684\u6570\u662f
\uff08n+[(n-1)(n-2)/2] \uff09
\u7531\u8868\u53ef\u5f97\u7ad6\u6392\u6570\u5217\u7684\u89c4\u5f8b\u662f\uff081\uff0cn\uff09=n+[n(n-1)/2]
\u800c\uff08m,n\uff09=(m+1)*(n-1)+(n-1)(n-2)/2+m+[(m-1)(m-2)/2]
\u6240\u4ee5\uff081\uff0c20\uff09\u6240\u8868\u793a\u7684\u6570\u662f\uff08210\uff09\uff0c \uff084\uff0c20\uff09\u6240\u8868\u793a\u7684\u6570\u662f\uff08273 \uff09\u3002
(5,5)\u6240\u8868\u793a\u7684\u6570\u4e3a\uff0841\uff09\uff0c\uff08100\uff0c100\uff09\u6240\u8868\u793a\u7684\u6570\u4e3a\uff0819801\uff09
\u5230\u8fd9\u8fb9\u4e3a\u6b62\uff0c\u4ee5\u4e0a\u7684\u8fd9\u79cd\u89e3\u6cd5\u90fd\u80fd\u89e3\u51b3\u95ee\u9898\uff0c\u4f46\u662f\u63a5\u4e0b\u53bb\u6c422008\u5982\u4f55\u8868\u793a\u5c31\u9ebb\u70e6\u4e86\uff0c\u4e8e\u662f\u5f15\u5165\u53e6\u4e00\u79cd\u89e3\u6cd5\uff1a
\u9996\u5148\u89c2\u5bdf\u6570\u9635\uff0c\u53ef\u4ee5\u53d1\u73b0\u4ece\u6a2a\u6392\u7b2c\u4e00\u6392\u7684\u4efb\u610f\u6570\u5b57\u5f00\u59cb\u5f80\u5de6\u4e0b\u89d245\u5ea6\u6210\u5bf9\u89d2\u7ebf\u7684\u4e00\u4e32\u6570\u5217\u90fd\u662f\u76f8\u8fde\u7684\u81ea\u7136\u6570\uff0c\u5e76\u4e14\u662f\u9010\u6e10\u9012\u589e\uff0c\u5982\uff083\uff0c1\uff09\u76844\uff0c\u5f80\u5de6\u4e0b\u89d245\u5ea6\u6210\u5bf9\u89d2\u7ebf\u7684\u4e00\u4e32\u6570\u5217\u5206\u522b\u662f\uff082\uff0c2\uff09\u76845\u3001\uff081\uff0c3\uff09\u76846\uff0c\u5e76\u4e14\u8fd9\u6761\u5bf9\u89d2\u7ebf\u4e0a\u7684\u4e00\u4e32\u6570\u5b57\u7684\u6a2a\u7eb5\u5750\u6807\u76f8\u52a0\u6240\u5f97\u7684\u548c\u76f8\u7b49\uff0c\u5982\uff083\uff0c1\uff09\u3001\uff082\uff0c2\uff09\u3001\uff081\uff0c3\uff09\uff0c\u91cc\u9762\u6a2a\u7eb5\u5750\u6807\u76f8\u52a0\u90fd\u4e3a4\u3002
\u6839\u636e\u8fd9\u4e2a\u65b9\u6cd5\u4e5f\u53ef\u4ee5\u7b80\u5355\u7684\u63a8\u7b97\u51fa\u4e0a\u9762\u90a3\u4e9b\uff084\uff0c20\uff09\u3001\uff085\uff0c5\uff09\u3001\uff08100\uff0c100\uff09\u7b49\u5750\u6807\u6240\u8868\u793a\u7684\u6570\u3002
\u4ee5\uff084\uff0c20\uff09\u4e3a\u4f8b\u3002\u7531\u4e8e\uff084\uff0c20\uff09\u5176\u6a2a\u7eb5\u5750\u6807\u76f8\u52a0\u4e3a4+20=24\uff0c\u56e0\u6b64\u8fd9\u4e2a\u5750\u6807\u6240\u8868\u793a\u7684\u6570\u5b57\u5728\uff0823\uff0c1\uff09\u4e0e\uff081\uff0c23\uff09\u76f8\u8fde\u7684\u5bf9\u89d2\u659c\u7ebf\u4e0a\u3002\u7531\u4e8e
\u7ad6\u6392\u6570\u5217\u7684\u89c4\u5f8b\u662f\uff081\uff0cn\uff09=n+[n(n-1)/2]\uff0c\u6240\u4ee5\u7b80\u5355\u53ef\u7b97\u5f97\uff081\uff0c23\uff09\u4e0a\u7684\u6570\u5b57\u4e3a276\uff0c\u800c\uff081\uff0c23\uff09\u4e3a\u5bf9\u89d2\u659c\u7ebf\u4e0a\u6700\u4e0b\u9762\u7684\u4e00\u4e2a\u70b9\u6240\u4ee5\uff081\uff0c23\uff09\u4e5f\u662f\u8be5\u659c\u7ebf\u4e0a\u6700\u5927\u7684\u6570\uff0c\u659c\u7ebf\u4e0a\u7531\uff081\uff0c23\uff09\u8fd9\u4e2a\u70b9\u5f80\u4e0a\u4f9d\u6b21\u9012\u51cf\uff0c\u5e76\u4e14\u76f8\u90bb\u4e24\u4e2a\u70b9\u6240\u8868\u793a\u7684\u6570\u4e4b\u95f4\u7684\u5dee\u90fd\u4e3a1\uff0c\u6240\u4ee5\uff082\uff0c22\uff09\u4e3a275\u3001\uff083\uff0c21\uff09\u4e3a274\u3001\uff084\uff0c20\uff09\u4e3a273\u2026\u2026\uff0823\uff0c1\uff09\u4e3a254\u3002\u800c\u5176\u4e2d\uff084\uff0c20\uff09\u4e0e\uff081\uff0c23\uff09\u76f8\u5dee23-20=3\u4e2a\u4f4d\u7f6e\uff0c\u6240\u4ee5\uff084\uff0c20\uff09=276-3=273
\u540c\u6837\uff0c\u8ba1\u7b97\uff085\uff0c5\uff09\u65f6\uff0c\u7531\u4e8e\uff085\uff0c5\uff09\u5728\uff089\uff0c1\uff09\u4e0e\uff081\uff0c9\uff09\u4e4b\u95f4\u7684\u5bf9\u89d2\u659c\u7ebf\u4e0a\uff0c\u6240\u4ee5\u7b97\u5f97\uff081\uff0c9\uff09=45\uff0c\u800c\uff085\uff0c5\uff09\u4e0e\uff081\uff0c9\uff09\u76f8\u5dee9-5=4\u4e2a\u4f4d\u7f6e\uff0c\u6240\u4ee5\uff085\uff0c5\uff09=45-4=41
\u540c\u6837\uff0c\u8ba1\u7b97\uff08100\uff0c100\uff09\u65f6\uff0c\u7531\u4e8e\uff08100\uff0c100\uff09\u5728\uff08199\uff0c1\uff09\u4e0e\uff081\uff0c199\uff09\u4e4b\u95f4\u7684\u5bf9\u89d2\u659c\u7ebf\u4e0a\uff0c\u6240\u4ee5\u7b97\u5f97\uff081\uff0c199\uff09=19900\uff0c\u800c\uff08100\uff0c100\uff09\u4e0e\uff081\uff0c199\uff09\u4e4b\u95f4\u76f8\u5dee199-100=99\u4e2a\u4f4d\u7f6e\uff0c\u6240\u4ee5\uff08100\uff0c100\uff09=19900-99=19801
\u63a5\u4e0b\u6765\u662f\u89e3\u51b32008\u6240\u5728\u7684\u5750\u6807\u95ee\u9898\u3002
\u7531\u4e8e\u5148\u524d\u5206\u6790\u8fc7\uff0c\u6bcf\u676145\u5ea6\u5bf9\u89d2\u659c\u7ebf\u4e2d\u7684\u6570\u5217\uff0c\u6a2a\u884c\u7b2c\u4e00\u884c\u7684\u90a3\u4e2a\u6570\u662f\u6574\u4e2a\u6570\u5217\u6700\u5c0f\u7684\uff0c\u800c\u7ad6\u6392\u7b2c\u4e00\u6392\u7684\u90a3\u4e2a\u6570\uff08\u5373\u6a2a\u884c\u6700\u540e\u4e00\u884c\u7684\u90a3\u4e2a\u6570\uff09\u662f\u6574\u4e2a\u6570\u5217\u6700\u5927\u7684\u3002\u6240\u4ee52008\u5fc5\u7136\u4e5f\u843d\u5728\u8fd9\u79cd45\u5ea6\u5bf9\u89d2\u659c\u7ebf\u7684\u6570\u5217\u4e2d\u3002\uff08\u89c2\u5bdf\u6570\u5217\u53ef\u4ee5\u770b\u5230\uff0c\u7b2c\u4e00\u659c\u5217\u4e3a1\uff0c\u7b2c\u4e8c\u659c\u5217\u4e3a2\u30013\uff0c\u7b2c\u4e09\u659c\u5217\u4e3a4\u30015\u30016\u2026\u2026\u6240\u6709\u81ea\u7136\u6570\u6309\u987a\u5e8f\u5206\u5e03\u5728\u8fd9\u4e9b\u659c\u5217\u4e2d\uff0c\u6240\u4ee52008\u4e5f\u5fc5\u7136\u5728\u67d0\u4e2a\u659c\u5217\u4e2d\uff09\u3002\u5982\u4eca\u6211\u4eec\u8981\u627e\u51fa2008\u6240\u5728\u659c\u5217\u7684\u5934\u5c3e\u4e24\u4e2a\u70b9\u3002
\u5047\u8bbe2008\u5728\uff08n,1\uff09\u4e0e\uff081\uff0cn\uff09\u4e4b\u95f4\u7684\u659c\u7ebf\u6240\u7ec4\u6210\u7684\u659c\u5217\u4e2d\uff0c\u90a3\u4e48\u7531\u4e8e\u7ad6\u6392\u6570\u5217\u7684\u89c4\u5f8b\u662f\uff081\uff0cn\uff09=n+[n(n-1)/2]\uff0c\u6240\u4ee5\uff081\uff0cn\uff09=n+[n(n-1)/2]\u300b2008\uff0c\u56e0\u4e3a\uff081\uff0cn\uff09\u662f\u8be5\u659c\u5217\u4e2d\u6700\u5927\u7684\u6570\u3002
\u6240\u4ee5\u53ef\u89e3\u5f97n\u6b64\u65f6\u7684\u6700\u5c0f\u503c\u4e3a63\uff0c\u6240\u4ee52008\u5728\uff0863\uff0c1\uff09\u4e0e\uff081\uff0c63\uff09\u4e4b\u95f4\u7684\u659c\u7ebf\u6240\u7ec4\u6210\u7684\u659c\u5217\u4e2d\u3002\u800c\uff081\uff0c63\uff09=2016\uff0c\u800c2016-2008=8\uff0c\u6240\u4ee52008\u7684\u5750\u6807\u4e0e\uff081\uff0c63\uff09\u76f8\u5dee8\u4e2a\u4f4d\u7f6e\uff0c\u6240\u4ee52008\u7684\u7eb5\u5750\u6807\u4e3a63-8=55\uff0c\u800c\u5176\u6a2a\u5750\u6807\u4e3a63+1-55=9\uff0c\uff08\u56e0\u4e3a\u8be5\u659c\u5217\u4e0a\u6bcf\u4e2a\u5750\u6807\u7684\u6a2a\u7eb5\u5750\u6807\u76f8\u52a0\u90fd\u4e3a63+1=64\uff0c\u90fd\u4e3a64\uff0c\u6240\u4ee5\u5f97\u51fa2008\u7eb5\u5750\u6807\u4e3a55\u540e\uff0c\u81ea\u7136\u753164-55=9\u7b97\u51fa\u5176\u6a2a\u5750\u6807\uff09\u3002
\u56e0\u6b64\uff0c2008\u5e94\u8bb0\u4f5c\uff089\uff0c55\uff09\u3002
2 3
4 5 6
7 8 9 10
11 12 13 14 15
15 16 17 18 19 20
...
第2008行的2008个数是多少？
2017036
不好意思，只有1个
绛旓細鏈鑰冩煡浜嗘帹鐞嗙殑鐭ヨ瘑,鍏蜂綋鎬濊矾鍜岀瓟妗濡備笅锛氬湪鏁伴樀涓～鏁帮紝閫氬父鏍规嵁鏁板瓧鎬诲拰鐨勫樊濉嚭閲嶅璁＄畻鐨勬暟瀛楋紝鍐嶆牴鎹棰樼洰瑕佹眰濉叾瀹冧綅缃殑鏁板瓧锛屽彲浠ユ湁涓嶅悓鐨勫～娉曘1銆1-10杩欏崄涓暟鐨勫拰鏄55锛岃屼笁涓洓杈瑰舰鐨勬诲拰鏄72锛岀浉宸17.2銆佸洜涓哄洓杈瑰舰鐨勪袱涓繛鎺ュ鐨勬暟鍚勯噸澶嶇畻浜嗕竴娆★紝璇存槑杩欎袱涓暟鐨勫拰灏辨槸17锛屽厛...
绛旓細鏍规嵁棰樼洰瑕佹眰锛屽垪鍑鸿繖浜斾釜寮忓瓙缁勬垚鏂圭▼缁勶紝瑙ｅ緱 a=3,b=5,c=2,d=4,e=1;瑙ｆ柟绋嬬粍鐨勮繃绋嬶細鐢1锛2寮忓緱鍒癰-e=4锛涚敱3锛4寮忓緱鍒癰-d=1,骞朵唬鍏5寮忥紝寰楀埌b+e=6锛涙鏃跺緱鍒癳=1锛宐=5锛屽啀浠ｅ叆鍘熷紡渚濇姹傚嚭绛旀銆
绛旓細绛旀锛?=15 鏁伴樀鍥句负锛20 8 17 12 15 18 13 22 10 杩欏彧鏄竴閬撴渶绠鍗曠殑鏁伴樀鍥棰樼洰锛岀湅鏉ユ彁闂呬笉浜嗚В浠涔堟槸鏁伴樀鍥撅紝鍏堢畝瑕佽鏄庝竴涓嬶細鏁伴樀鍥剧殑瀹氫箟锛氳銆佸垪銆佸瑙掔嚎鐨勫拰閮界浉绛(鍚嶇О涓衡滅嚎鍜屸濈浉绛)濂囨暟锛3脳3銆5脳5...锛夋暟闃靛浘鐨勭壒鐐癸細(1)姝ｄ腑蹇冪殑鏁版槸骞冲潎鏁帮紝(2)杩...
绛旓細2. 銆 灏忕粨 銆鏁伴樀鍥句腑锛屼腑闂寸殑閲嶅彔鏁版渶閲嶈銆傞噸鍙犳暟涓鑸槸瑕佹眰濉叆鏁颁腑鐨勫ご涓熬锛屾湰棰樼殑澶翠腑灏炬槸1銆4銆7.鎵浠ヨ姹傛瘡鏉＄嚎涓婁负12锛屼腑闂翠负4锛涜姹傚緱10鐨勮瘽锛屼腑闂翠负1锛屽亣濡棰樼洰鍐嶈姹傚緱14鐨勮瘽锛岄偅涔堜腑闂村氨鏄7浜嗐備腑闂寸殑閲嶅彔鏁扮‘瀹氬ソ涔嬪悗锛屼袱杈圭殑鏁板氨濂藉～浜嗭紝鐩存帴鍒嗙粍灏卞彲浠ヤ簡銆
绛旓細2007鏄暟鍒楃殑椤规暟 2007=2n-1 n=1004 鎵浠2007鏄1004椤 鍙堝洜涓鸿繖涓鏁伴樀鐨勪釜鏁版槸Sn=锛1+n)n/2 鎵浠ュ綋n=44鐨勬椂鍊欙紝Sn=990 鎵浠ョ45琛岀殑绗互涓暟鏄暟鍒楃殑绗991椤 鎵浠1004鏄繖涓鐨1004-990=14鍒 鎵浠2007鏄暟琛ㄤ腑鐨勭45琛岋紝14鍒 濡傛湁涓嶆槑鐧斤紝鍙互杩介棶 ...
绛旓細692 514 837 718 632 954 453 879 216 926 187 543 145 326 798 387 495 162 861 253 479 239 741 685 574 968 321
绛旓細8-5+1=4,9脳2梅3=6 8-4+1=5,6脳3梅9=2
绛旓細宸︿笅瑙掔殑鏁颁负x+12,鍙充笅瑙掔殑鏁颁负x+14 鈭磝+(x+2)+(x+12)+(x+14)=172 4x+28=172 4x=144 x=36 鈭磋繖4涓暟鍒嗗埆涓36 38 48 50 4.瑙ｏ細璁惧乏涓婅鐨勬暟涓簒锛屽垯鍙充笂瑙掔殑鏁颁负x+2 宸︿笅瑙掔殑鏁颁负x+12,鍙充笅瑙掔殑鏁颁负x+14 鈭磝+(x+2)+(x+12)+(x+14)=322 4x+28=322 4x=194 ...
绛旓細棣栧厛锛岀籂姝ｄ竴涓嬫ゼ涓荤殑棰樼洰锛鏁伴樀涓殑锛3锛3锛夊簲璇ヤ负13 寮濮嬭В棰橈細鐢辫〃鍙緱妯帓鏁板垪鐨勮寰嬫槸锛坣锛1锛=n+[(n-1)(n-2)/2]鎵浠ワ紙100锛1锛夋墍琛ㄧず鐨勬暟鏄紙 4951锛夛紱锛坣锛1锛夋墍琛ㄧず鐨勬暟鏄 锛坣+[(n-1)(n-2)/2] 锛夌敱琛ㄥ彲寰楃珫鎺掓暟鍒楃殑瑙勫緥鏄紙1锛宯锛=n+[n(n-1)/2]鑰岋紙m,n锛=(m...
绛旓細1鍒8涓摢涓や釜鏁颁箣鍜岀瓑浜4鍛紝鏄剧劧鍙湁1鍜3 鍓╀笅鐨勪袱杈瑰悇涓変釜鏁帮紝姣忎笁涓暟涔嬪拰蹇呴』=20-4=16 鏄伓鏁帮紝鍓╀笅鐨勬暟閲岄潰鍙湁涓や釜濂囨暟5鍜7锛屾墍浠ュ畠淇╁繀椤诲湪鍚屼竴杈 5+7=12锛屾樉鐒惰窡瀹冧咯鍦ㄥ悓涓杈圭殑鍙︿竴涓暟蹇呴』鏄16-12=4浜 鏈鍚庡墿涓嬬殑2,6,8鑷劧灏辨槸鍦ㄥ彟涓杈逛簡銆傜浜岄濂藉儚涓嶅お瀵瑰惂锛屽湀鍦堢敾...
