如图所示，把从1开始连续的自然数按照一定的顺序排成数表，如果这个数表有40行，请通过计算回答下列问题
\u5982\u56fe\uff0c\u628a\u4ece1\u5f00\u59cb\u8fde\u7eed\u7684\u81ea\u7136\u6570\u6309\u7167\u4e00\u5b9a\u7684\u987a\u5e8f\u6392\u6210\u6570\u8868\uff0c\u5982\u679c\u8fd9\u4e2a\u6570\u8868\u670940\u884c\uff0c\u8bf7\u901a\u8fc7\u8ba1\u7b97\u56de\u7b54\u4e0b\u5217\u95ee\u9898\uff1a\uff081\u6839\u636e\u56fe\u793a\uff0c\u53ef\u5f97\u7b2c40\u884c\u670940\u4e2a\u6570\uff0c\u5219\u4e00\u5171\u6709\u6570\uff1a1+2+3+\u2026+40=\uff081+40\uff09\u00d740\u00f72=820\uff08\u4e2a\uff09\uff1b\uff081\uff09\u7b2c1\u884c\u7684\u6570\u662f\uff1a820-40+1=781\uff1b\u5f53\u8868\u7684\u5c42\u6570\u53ea\u67091\u30014\u30017\u3001\u2026\u300140\u5c42\u65f6\uff0c1\u7684\u4f4d\u7f6e\u5728\uff08\u5012\u6570\u884c\u6570\uff0c\u5de6\u6570\u5217\u6570\uff09\uff1a\uff081\uff0c1\uff09\u3001\uff082\uff0c2\uff09\u3001\uff083\uff0c3\uff09\u3001\u2026\u3001\uff0814\uff0c14\uff09\uff0c\u4e00\u5171\u6709\u65701\uff0c10\uff0c28\uff0c55\uff0c91\uff0c\u2026\uff1b\u4ece1\u6240\u5728\u7684\u4f4d\u7f6e\u5f80\u4e0a\uff0c\u6bcf\u884c\u7684\u6700\u5c0f\u6570\uff1a1\uff0c6\uff0c7\uff0c21\uff0c22\uff0c45\uff0c46\uff0c\uff082\uff09\u7b2c20\u884c\u4e2d\u7684\u6700\u5927\u6570\u662f\uff1a781+20-1=800\uff0c\u7b2c20\u884c\u4e2d\u7684\u6700\u5c0f\u6570\u662f\uff1a91-13=78\uff0c\u56e0\u6b64\u7b2c20\u884c\u4e2d\u7684\u6700\u5927\u6570\u4e0e\u6700\u5c0f\u6570\u4e4b\u548c\u662f\uff1a800+78=878\uff1b\uff083\uff09\u4ece1\u6240\u5728\u7684\u4f4d\u7f6e\u5f80\u4e0b\uff0c\u6bcf\u884c\u7684\u6700\u5c0f\u6570\uff1a2\uff0c11\uff0c29\uff0c56\uff0c92\uff0c\u2026\uff0c\u7b2c35\u884c\u4e3a\u5012\u6570\u7b2c6\u884c\uff0c\u6700\u5c0f\u6570\u4e3a\uff1a2+[1+2+\u2026+\uff0815-6\uff09]\u00d79=2+[1+2+\u2026+9]\u00d79=2+45\u00d79=407\u7b2c35\u884c\u4e2d\u7684\u6700\u5927\u6570\u662f\uff1a820-5=815\uff0c\u56e0\u6b64\u7b2c35\u884c\u4e2d\u7684\u6700\u5927\u6570\u4e0e\u6700\u5c0f\u6570\u4e4b\u548c\u662f\uff1a815+407=1222\uff0e
\u7b2c\u56db\u5341\u884c\u5982\u679c\u670940\u4e2a\u6570\uff08\u6700\u5de6\u8fb9\u7b2c\u4e00\u5217\u53ef\u4ee5\u53ea\u67091\u4e2a\u6570\u7684\uff09\uff0c\u5219
\u5171\u6709\u65701+2+3+\u3002\u3002+40=41*20=820\u4e2a
(1)\u7b2c1\u884c\u7684\u6570\u662f\u591a\u5c11\uff1a820-40+1=781
\u5f53\u8868\u7684\u5c42\u6570\u53ea\u67091,4,7.\u3002\u3002\uff0c40\u5c42\u65f6
1\u7684\u4f4d\u7f6e\u5728\uff08\u5012\u6570\u884c\u6570\uff0c\u5de6\u6570\u5217\u6570\uff09\uff1a\uff081,1\uff09\uff0c\uff082,2\uff09\uff0c\uff083,3\uff09\uff0c\u3002\u3002\u3002\uff0814,14\uff09
\u5171\u6709\u65701,10,28\uff0c55,91.\u3002
\u4ece1\u6240\u5728\u4f4d\u7f6e\u5f80\u4e0a\uff0c\u6bcf\u884c\u7684\u6700\u5c0f\u6570\uff1a1\uff0c6,7,21,22,45,46
1\uff0c\uff0810-4\uff09\uff0cx\uff0c28-7\uff0cx\uff0c55-10\uff0cx\uff0c91-13=78
(2)\u7b2c20\u884c\u4e2d\u7684\u6700\u5927\u6570\u4e0e\u6700\u5c0f\u6570\u4e4b\u548c\u662f\u591a\u5c11?
\u6700\u5927\uff1a781+20-1=800\uff0c\u6700\u5c0f\uff1a78\uff0c\u548c\uff1a800+78=878
\u4ece1\u6240\u5728\u4f4d\u7f6e\u5f80\u4e0b\uff0c\u6bcf\u884c\u7684\u6700\u5c0f\u6570\uff1a2\uff08\u5012\u657015\uff09\uff0c11,29.56,92\uff0c\u3002\u3002
\u7b2c35\u884c\u4e3a\u5012\u6570\u7b2c\u516d\u884c\uff0c\u6700\u5c0f\u6570\u4e3a2+[1+2+...+\uff0815-6\uff09]*9=2+[(1+9)*9/2]*9=407,
\u6700\u5927\u6570\uff1a820-5=815
(3)\u7b2c35\u884c\u4e2d\u7684\u6700\u5927\u6570\u4e0e\u6700\u5c0f\u6570\u4e4b\u548c\u662f\u591a\u5c11?815+407=1222
（2）第20行中的最大数与最小数之和是：191+200=391
（3）第35行中的最大数与最小数之和是：341+350=691
绛旓細鏈夌殑 214 215 216 221 222 223 228 229 230
绛旓細2 7 6 6 7 2 8 3 4 9 5 1 1 5 9 1 5 9 4 3 8 8 3 4 6 7 2 4 9 2 2 9 4 6 1 8 3 5 7 7 5 3 7 5 3 8 1 6 6 1 8 2 9 4 澶у悓灏忓紓 閮芥槸杩欏嚑涓暟 浣犳妸瀹冩棆杞涓涓 灏辨垚鍒殑鏁板垪浜哷``...
绛旓細绗14缁勬湁鏁2脳14-1=27涓 鍥犳绗14缁勬渶鍚涓涓暟鏄 锛1+27锛壝14梅2=196 绗15缁勭殑绗7涓暟鏄196+7=203
绛旓細鏍规嵁鍒嗘瀽锛屽彲寰楀綋n涓哄鏁版椂锛岀n涓嫄鐐瑰鐨勬暟鏄細1+锛1+3+5+鈥+n锛夛紱褰搉涓哄伓鏁版椂锛岀n涓嫄鐐瑰鐨勬暟鏄細1+2脳锛1+2+3+鈥+n2锛夛紱锛1锛夌30涓嫄鐐瑰鐨勬暟鏄細1+2脳锛1+2+3+鈥+15锛=1+2脳120=241锛涚瓟锛氱30涓嫄鐐瑰鐨勬暟鏄241锛庯紙2锛夋牴鎹畁涓哄鏁般佸伓鏁版椂锛岀n涓嫄鐐瑰鐨勬暟鐨...
绛旓細绗琻琛屾渶鍚涓鏁颁负n2锛屽垯绗竴涓暟涓簄2-2n+2锛屾瘡琛屾暟鐢遍鎰忕煡姣忚鏁扮殑涓暟涓1锛3锛5锛屸︾殑濂囨暟鍒楋紝绗琻琛屽叡鏈2n-1涓紱绗琻琛屽悇鏁颁箣鍜岋細n2?2n+2+n22脳锛2n-1锛=锛坣2-n+1锛夛紙2n-1锛夛紟鏁呯瓟妗堜负锛2n-1锛涳紙n2-n+1锛夛紙2n-1锛夛紟
绛旓細绗笁闂渶绠鍗曪紝绗琻琛屽叡鏈2n+1涓暟锛堢瓑宸暟鍒椾箞锛岀洿鎺ヨ瀵熷緱鍒帮級璁緉琛岀涓涓暟涓篴n1,鏈鍚庝竴涓暟涓篴n2锛屽垯鏈 an1-a(n-1)1=2(n-1)+1=2n-1(涓嬩竴琛岄鍑忎笂涓琛岄=涓婁竴琛屾暟瀛椾釜鏁)a(n-1)1-a(n-2)1=2(n-2)+1=2n-3 銆傘(a2)1-(a1)1=2x1+1=3 绱姞锛屽緱 an1-(a1)1=3...
绛旓細55 瀵规瘡涓鑷劧鏁板垎瑙ｇ礌鍥犳暟锛屽彧鏈夊洜鏁2涓5鐩镐箻鎵嶈兘寰楀埌涓涓0锛岄偅涔堣嚦灏戦渶瑕13涓洜鏁2锛13涓洜鏁5锛庡洜鏁2鏈夊緢澶氾紝閭ｄ箞涓昏鑰冭檻5锛庤寰楀埌13涓洜鏁5锛5锛10锛15锛20锛30锛35锛40锛45锛55鍚勫彲浠ュ緱鍒颁竴涓洜鏁5锛庡叡9涓紟25锛50鍚勫彲浠ュ緱鍒2涓洜鏁5锛屽叡4涓紟閭ｄ箞蹇呴』涓鐩村埌55锛
绛旓細瑕佷娇涔樼Н鐨勬湯灏惧嚭鐜扳0鈥濓紝閭ｄ箞杩欎釜鏁颁腑蹇呴』鍚屾椂鍚湁璐ㄥ洜鏁扳2鈥濆拰鈥5鈥濄備笖涔樼Н鐨勬湯灏炬湁鍑犱釜鈥0鈥濓紝灏卞悓鏃跺惈鏈夊嚑涓2鈥濆拰鈥5鈥濄備絾鑰冭檻鍒版槸杩炵画鐨勮嚜鐒鏁扮殑涔樼Н锛屸2鈥濈殑涓暟蹇呭浜庘5鈥濈殑涓暟锛屾墍浠ヨ浣夸箻绉殑鏈熬鍑虹幇杩炵画鐨10涓0鈥濓紝鍙婊¤冻鏈10涓5鈥濆氨鍙互.閫氳繃璁＄畻锛屽彲浠ュ緱鍒1鍒65...
绛旓細瑙ｏ細鐢遍鎰忓彲寰 鈭1脳2脳3脳4脳鈥︹ 45/5=9, 1鑷45鏈9涓5鐨勫嶆暟,鍏朵腑25=5脳5,鍗虫诲叡鏈9+1=10涓5鐨勫洜瀛.鈭磏=45 鏁呭綋n鏈灏忕瓑浜45鏃讹紝涔樼Н鐨勬渶鏈崄浣嶆暟瀛楀叏鏄浂.
绛旓細/14=98k²-185k-116 鐢1鈮98k²-185k-116鈮14k+8锛岃В寰楋細k=-1/2鎴117/49鈮鈮124/49锛屽張k鈭圢锛屾墍浠鏃犺В銆傛墍浠锛屼粠1寮濮鍒43鐨43涓杩炵画鑷劧鏁帮紝鍘绘帀鍏朵腑鐨34杩欎釜鏁板悗鍏朵綑鏁扮殑骞冲潎鍊间负152/7銆1+2+3+鈥+43=43*(43+1)/2=946锛946-34=912锛912/(43-1)=152/7....
