11～20的平方 11至20的平方和立方有什么简便的计算方法
11\u7684\u5e73\u65b9\u523020\u7684\u5e73\u65b9\u6709\u89c4\u5f8b\u5417\u89c4\u5f8b\uff1a
\u5148\u8bb0\u4f4f11\u7684\u5e73\u65b9\u662f121 \u7136\u540e\u4f9d\u6b21\u63a5\u4e0b\u6765\u7684\u6570\u7684\u5e73\u65b9\u4f9d\u6b21\u589e\u52a0 23\u300125\u300127\u300129\u300131\u300133\u300135\u300137\u300139\uff0c\u5c31\u80fd\u77e5\u905311\u523020\u7684\u5e73\u65b9\u4e86\uff0c\u598211\u7684\u5e73\u65b9\u662f121+23=144 \u662f12\u7684\u5e73\u65b9 144+25=169\u662f13\u7684\u5e73\u65b9\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5e73\u65b9\u662f\u4e00\u79cd\u8fd0\u7b97\uff0c\u6bd4\u5982\uff0ca\u7684\u5e73\u65b9\u8868\u793aa\u00d7a\uff0c\u7b80\u5199\u6210a²\uff0c\u4e5f\u53ef\u5199\u6210a\u00d7a(a\u7684\u4e00\u6b21\u65b9\u4e58a\u7684\u4e00\u6b21\u65b9\u7b49\u4e8ea\u76842\u6b21\u65b9\uff09\uff0c\u4f8b\u59824\u00d74=16\uff0c8\u00d78=64\uff0c\u5e73\u65b9\u7b26\u53f7\u4e3a2\u3002
\u76f8\u4f20\u5370\u5ea6\u6709\u4f4d\u5916\u6765\u7684\u5927\u81e3\u8ddf\u56fd\u738b\u4e0b\u68cb\uff0c\u56fd\u738b\u8f93\u4e86\uff0c\u5c31\u7b54\u5e94\u6ee1\u8db3\u4ed6\u4e00\u4e2a\u8981\u6c42\uff1a\u5728\u68cb\u76d8\u4e0a\u653e\u7c73\u7c92\u3002\u7b2c\u4e00\u683c\u653e1\u7c92\uff0c\u7b2c\u4e8c\u683c\u653e2\u7c92\uff0c\u7136\u540e\u662f4\u7c92\uff0c8\u7c92\uff0c16\u7c92\u2026\u76f4\u5230\u653e\u523064\u683c\u3002\u56fd\u738b\u54c8\u54c8\u5927\u7b11\uff0c\u8ba4\u4e3a\u4ed6\u5f88\u50bb\uff0c\u4ee5\u4e3a\u53ea\u8981\u8fd9\u4e48\u4e00\u70b9\u7c73\u3002
\u6309\u7167\u5927\u81e3\u7684\u8981\u6c42\uff0c\u653e\u6ee164\u4e2a\u683c\uff0c\u9700\u7c73 \u7c92\u3002\u8fd9\u4e2a\u6570\u662f18446744073709551615\uff0c\u662f\u4e8c\u5341\u4f4d\u7684\u6570\u5b57\u3002\u8fd9\u4e9b\u7c73\u522b\u8bf4\u503e\u7a7a\u56fd\u5e93\uff0c\u5c31\u662f\u6574\u4e2a\u5370\u5ea6\uff0c\u751a\u81f3\u5168\u4e16\u754c\u7684\u7c73\uff0c\u90fd\u65e0\u6cd5\u6ee1\u8db3\u8fd9\u4e2a\u5927\u81e3\u7684\u8981\u6c42\uff01
\u8fd9\u4e2a\u597d\u50cf\u6ca1\u6709\u4ec0\u4e48\u7b80\u5355\u65b9\u6cd5\uff0c\u8981\u4e48\u80cc\u4e0b\u6765\uff0c\u8981\u4e48\u786c\u7b97\u3002
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绛旓細1鍒20鐨勫钩鏂鏁版湁锛1=1脳1锛4=2脳2锛9=3脳3,16=4脳4鍏憋紝鍥涗釜 1鍒20鐨勫钩鏂瑰垎鍒负锛1鐨勫钩鏂逛负1锛2鐨勫钩鏂逛负4锛3鐨勫钩鏂逛负9锛4鐨勫钩鏂逛负16锛5鐨勫钩鏂逛负25锛6鐨勫钩鏂逛负36锛7鐨勫钩鏂逛负49锛8鐨勫钩鏂逛负64锛9鐨勫钩鏂逛负81锛10鐨勫钩鏂逛负100锛11鐨勫钩鏂逛负121锛12鐨勫钩鏂逛负144锛13鐨勫钩鏂逛负169锛14鐨...
绛旓細10鍒20鐨勫钩鏂鍒嗗埆鏄細10²=100銆11²=121銆12²=144銆13²=169銆14²=196銆15²=225銆16²=256銆17²=289銆18²=324銆19²=361銆20²=400銆傚钩鏂规暟瀹氫箟锛氬钩鏂规暟锛堟垨绉板畬鍏ㄥ钩鏂规暟锛夛紝鏄寚鍙互鍐欐垚鏌愪釜鏁存暟鐨勫钩鏂圭殑鏁帮紝鍗冲叾骞虫柟鏍...
绛旓細10鍒20鐨勫钩鏂鏁板垎鍒槸锛10²=100銆11²=121銆12²=144銆13²=169銆14²=196銆15²=225銆16²=256銆17²=289銆18²=324銆19²=361銆20²=400銆傚钩鏂规暟瀹氫箟锛氬钩鏂规暟锛堟垨绉板畬鍏ㄥ钩鏂规暟锛夛紝鏄寚鍙互鍐欐垚鏌愪釜鏁存暟鐨勫钩鏂圭殑鏁帮紝鍗冲叾骞虫柟...
绛旓細11鐨勫钩鏂瑰埌20鐨勫钩鏂閫熻鏂规硶濡備笅锛11鐨勫钩鏂瑰埌20鐨勫钩鏂归熻鏂规硶锛氶鍏堟槑纭11鐨勫钩鏂规槸121銆傜劧鍚庡湪121鐨勫熀纭涓婁緷娆″鍔23銆25銆27銆29銆31銆33銆35銆37銆39锛屼簬鏄緱鍒12鍒20鐨勫钩鏂广備緥濡12鐨勫钩鏂圭瓑浜121鍔23绛変簬144锛13鐨勫钩鏂圭瓑浜144鍔25绛変簬169锛14鐨勫钩鏂圭瓑浜169鍔27绛変簬196锛屼互姝ょ被鎺紝鍗冲彲寰楀埌15鐨...
绛旓細1鍒20鐨勫钩鏂琛ㄥ鍥炬墍绀猴細骞虫柟璁＄畻鏂规硶 a鐨勫钩鏂硅〃绀篴脳a锛岀畝鍐欐垚a²锛屼篃鍙啓鎴恆脳a(a鐨勪竴娆℃柟涔榓鐨勪竴娆℃柟绛変簬a鐨2娆℃柟锛夈備緥濡傦細4脳4=16锛8脳8=64锛屽钩鏂圭鍙蜂负²銆傞櫎浜嗕唬鏁颁腑鐨勮绠楋紝骞虫柟涔熸槸闈㈢Н鐨勫崟浣嶏紝渚嬪骞虫柟绫炽佸钩鏂瑰帢绫崇瓑銆
绛旓細10鍒20鐨勫钩鏂鏄寚灏嗘鏁板煎啓鎴愨渁脳a鈥濈殑褰㈠紡锛岀粡涔樻硶璁＄畻鍚庡緱鍒扮殑鏁板硷紝鍏蜂綋缁撴灉濡備笅锛1銆10²=10脳10=100 2銆11²=11脳11=121 3銆12²=12脳12=144 4銆13²=13脳13=169 5銆14²=14脳14=196 6銆15²=15脳15=225 7銆16²=16脳16=256 8銆17...
绛旓細1鑷20鐨勫钩鏂锛1銆4銆9銆16銆25銆36銆49銆64銆81銆100銆121銆144銆169銆196銆225銆256銆289銆324銆361銆400銆傚钩鏂规槸涓绉嶈繍绠楋紝姣斿锛宎鐨勫钩鏂硅〃绀篴脳a锛岀畝鍐欐垚a²锛屼篃鍙啓鎴恆脳a(a鐨勪竴娆℃柟涔榓鐨勪竴娆℃柟绛変簬a鐨2娆℃柟锛夛紝渚嬪4脳4=16锛8脳8=64锛屽钩鏂圭鍙蜂负2銆1鍒100鐨勫钩鏂癸細1²...
绛旓細1-10鐨勭珛鏂规暟 锛1銆8銆27銆64銆125銆216銆343銆512銆729銆1000锛11-20鐨勫钩鏂鏁 锛121銆144銆169銆196銆225銆256銆289銆324銆361銆400锛11-30鐨勫畬鍏ㄥ钩鏂规暟锛16銆25.
绛旓細涔熷彲鍐欐垚a鐨勪竴娆℃柟涔榓鐨勪竴娆℃柟绛変簬a鐨2娆℃柟锛屼緥濡4涔樹互4绛変簬16锛8涔樹互8绛変簬64锛屽钩鏂圭鍙蜂负2銆傛墍浠ヨ锛11鐨勫钩鏂圭瓑浜121锛12鐨勫钩鏂圭瓑浜144锛13鐨勫钩鏂圭瓑浜169锛14鐨勫钩鏂圭瓑浜196锛15鐨勫钩鏂圭瓑浜225锛16鐨勫钩鏂圭瓑浜256锛17鐨勫钩鏂圭瓑浜289锛18鐨勫钩鏂圭瓑浜324锛19鐨勫钩鏂圭瓑浜361锛20鐨勫钩鏂绛変簬400銆
绛旓細=361銆 20²=400銆21²=441 銆22²=484銆 23²=529銆 24²=576銆 25²=625 绠浠 璇婚煶锛歱铆ng f膩ng 锛岃浣滐細²锛屼緥濡倄²銆傦紙娉細鐢佃剳涓婂彲鐢ㄢ淾鈥濅唬鏇匡紝渚嬪x^2灏辨槸x²鐨勬剰鎬濓級鐜颁唬姹夎璇嶅吀閲婁箟锛氣憼鎸囨暟鏄2鐨勪箻鏂广傗憽鎸囧钩鏂圭背銆傝竟闀鐨勫钩...
