馃攳涓€銆佸叆闂ㄤ笁鏉挎枾锛氭悶鎳傚簳鏁板拰鐪熸暟鐨?涓夎鎭?鈥?strong>鈥嬫牳蹇冨彛璇€鈥?/stro" />
  1. 主页 > 大智慧

对数比较大小口诀与技巧结:底数真数全解析


馃専銆愭柊鎵嬪繀鐪嬨€戝鏁版瘮澶у皬鍒板簳鍦ㄦ瘮浠€涔堬紵

浣犳槸涓嶆槸姣忔鐪嬪埌log鈧?鍜宭og鈧?灏卞ご鐨彂楹伙紵鍒厡锛佷粖澶╁挶浠敤鏈€鐩寸櫧鐨勮瑷€锛屾妸瀵规暟姣斿ぇ灏忕殑搴曞眰閫昏緫鎺板紑鎻夌锛岀湅瀹屽寘浣犱粠"鎳靛湀"鍙?閫氶€?锛?/p>


馃攳涓€銆佸叆闂ㄤ笁鏉挎枾锛氭悶鎳傚簳鏁板拰鐪熸暟鐨?涓夎鎭?

鈥?strong>鈥嬫牳蹇冨彛璇€鈥?/strong>鈥嬶細

"搴曟暟澶т簬1锛岀湡鏁拌秺澶у€艰秺澶э紱搴曟暟澶瑰湪0鍜?锛岀湡鏁拌秺澶у€艰秺灏忥紒"

涓句釜馃尠锛?/p>

  • log鈧?锛堝簳鏁?>1锛夛紴log鈧? 鈫?鍥犱负8锛?
  • log_0.5鈦达紙搴曟暟0.5<1锛夛紲log_0.5虏 鈫?鍥犱负4锛?

鈥?strong>鈥嬬壒娈婂僵铔嬧€?/strong>鈥嬶細
鍙戠幇娌★紵褰撳簳鏁板拰鐪熸暟鍒氬ソ浜掍负鍊掓暟鏃讹紝姣斿log鈧?.5鍜宭og鈧?锛屽畠浠殑鍊煎叾瀹炲氨鏄?1鍜?鐨勫叧绯伙紒


馃洜锔忎簩銆佸疄鎴樺伐鍏风锛?澶у繀鏉€鎶€

馃幆鎶€宸?锛氭崲搴曞叕寮忓彉褰㈣

鈥?strong>鈥嬪彛璇€鈥?/strong>鈥嬶細
"閬囧埌涓嶅悓搴曪紝鍏紡鍙橀瓟鏈紝1/锛堟柊搴曟棫搴曪級瑕佽浣忥紒"

鈥?strong>鈥嬫搷浣滄楠も€?/strong>鈥嬶細

  1. 鎶婁袱涓鏁版崲鎴愬悓搴曪紙甯哥敤10鎴杄锛?/li>
  2. 姣旇緝鏂板垎瀛愮殑澶у皬
    涓句釜馃尠锛?br/> 姣旇緝log鈧?鍜宭og鈧?锛?br/> 鈫?log鈧? = ln5/ln3 鈮?1.464
    鈫?log鈧? = ln8/ln5 鈮?1.292
    鈥?strong>鈥嬬粨璁衡€?/strong>鈥嬶細log鈧?锛瀕og鈧?

馃幆鎶€宸?锛氫腑闂村€兼壘"瑁佸垽"

鈥?strong>鈥嬪彛璇€鈥?/strong>鈥嬶細
"0鍜?鏄鍒わ紝璋佸湪涓棿璋佽浜嗙畻锛?

鈥?strong>鈥嬬粡鍏告渚嬧€?/strong>鈥嬶細
姣旇緝log鈧?鍜宭og鈧?锛?/p>

  • log鈧?锛?锛堝洜涓?鹿=2<3锛?/li>
  • log鈧?锛?锛堝洜涓?鹿=3<4锛?br/> 鈫?寮曞叆涓棿鍊糽og鈧?=2
    鈫?log鈧?鈮?.585 < 2
    鈫?log鈧?鈮?.262 < 2
    鈥?strong>鈥嬬粨璁衡€?/strong>鈥嬶細log鈧?锛瀕og鈧?

馃幆鎶€宸?锛氱硸姘翠笉绛夊紡锛堣秴绁炲锛侊級

鈥?strong>鈥嬬敓娲诲寲瑙i噴鈥?/strong>鈥嬶細
灏卞儚寰€绯栨按閲屽姞绯栦細鍙樼敎锛屾暟瀛︿笂锛?br/> 濡傛灉a锛瀊锛?锛屽姞m鍏嬬硸鍚庯紝(a+m)/(b+m)锛瀉/b

鈥?strong>鈥嬪疄鎴樺簲鐢ㄢ€?/strong>鈥嬶細
姣旇緝log鈧?鍜宭og鈧?锛?br/> 鈫?鐪嬩綔3/(2+1) vs 8/(5+3)
鈫?3/3=1 vs 8/8=1 鈫?骞虫墜锛?br/> 鈫?鍏跺疄瑕佺敤瀵规暟褰㈠紡杞寲锛岃繖閲岄渶瑕佹洿绮剧粏鐨勬搷浣?/p>


馃幆鎶€宸?锛氬浘鍍忚蹇嗘硶

鈥?strong>鈥嬪浘鍍忚寰嬧€?/strong>鈥嬶細

  • 搴曟暟锛?鏃讹細鍥惧儚鍍忎笂鍧★紝瓒婂線鍙崇埇寰楄秺楂?/li>
  • 0<搴曟暟<1鏃讹細鍥惧儚鍍忔粦姊紝瓒婂線鍙虫簻寰楄秺浣?/li>

鈥?strong>鈥嬪姣旇〃鏍尖€?/strong>鈥嬶細

鐗瑰緛搴曟暟锛?0<搴曟暟<1
鍥惧儚璧板娍鈫楋笍鍙充笂鎵?/td>鈫橈笍鍙充笅婊?/td>
瓒婂ぇ鐨勭湡鏁?/td>鍊艰秺澶ю煈?/td>鍊艰秺灏忦煈?/td>
涓巠=1浜ょ偣鍦ㄥ彸渚ц繙澶?/td>鍦ㄥ乏渚ц繎澶?/td>

馃挕涓夈€佺壒娈婇鍨嬬牬瑙g绫?/h3>

馃毄绫诲瀷1锛氬惈鍙傚鏁版瘮澶у皬

鈥?strong>鈥嬭В棰樺彛璇€鈥?/strong>鈥嬶細
"鍙傛暟鍒嗘儏鍐碉紝0鍜?鏄晫闄愶紝鐢诲浘鍒楄〃鏇寸洿瑙傦紒"

涓句釜馃尠锛?br/> 姣旇緝log_a2鍜宭og_a3锛坅涓哄弬鏁帮級锛?/p>

  • 褰揳>1鏃讹細2<3 鈫?log_a2
  • 褰?log_a3

馃毄绫诲瀷2锛氭寚鏁板鏁版贩鍚堟瘮

鈥?strong>鈥嬪繀鏉€鎶€鈥?/strong>鈥嬶細
"鎸囧涓€瀹朵翰锛屼簰鐩歌浆鍖栫湅寰楁竻锛?

鈥?strong>鈥嬬粡鍏搁珮鑰冮鈥?/strong>鈥嬶紙2021澶╂触鍗锋敼缂栵級锛?br/> 宸茬煡a=4.2鈦烩伆鲁锛宐=4.2鈦奥筹紝c=log鈧?鈧?.2
瑙i姝ラ锛?/p>

  1. a=1/4.2鈦奥斥増0.23
  2. b=4.2鈦奥斥増1.56
  3. c=璐熸暟锛堝洜涓?.2<1锛?br/> 鈫?缁撹锛歝

馃帗鍥涖€佺嫭瀹跺涔犵绫?/h3>
  1. 鈥?strong>鈥嬪鐢诲浘鍍忊€?/strong>鈥嬶細闅忔墜鐢籰og鈧倄銆乴og鈧儀銆乴og_0.5x鐨勮蛋鍔垮浘锛屾劅鍙楀樊寮?/li>
  2. 鈥?strong>鈥嬭儗鐔熺壒娈婂€尖€?/strong>鈥嬶細
    • log鈧?=0锛宭og鈧?=1锛宭og鈧?=2
    • log鈧佲個100=2锛宭n1=0
  3. 鈥?strong>鈥嬮敊棰樻湰鎶€宸р€?/strong>鈥嬶細鎶婃€绘瘮閿欑殑瀵规暟缁勫悎璐村涓婏紝鍒风墮鏃剁灍涓ょ溂

馃寛浜斻€佺粰灏忕櫧鐨勪汉鐢熷缓璁?/h3>

鍗冧竾鍒璁扮‖鑳岋紒鍘诲勾鏈変釜瀛︾敓鎶?搴曞ぇ鐪熷皬搴曞ぇ鑰呭ぇ"鑳屽弽浜嗭紝缁撴灉楂樿€冪棝澶?鍒?.. 鍏跺疄鐞嗚В鍘熺悊鍚庯紝杩欎簺鍙h瘈鑷劧灏辫浣忎簡銆傚氨鍍忓楠戣嚜琛岃溅锛屽紑濮嬭寰楄璁板ソ澶氬姩浣滐紝鐪熶細楠戜簡鏍规湰涓嶇敤鎯筹紒

锛堟暟鎹ˉ鍏咃細鏍规嵁2024骞撮珮鑰冨ぇ鏁版嵁锛屽鏁版瘮澶у皬棰樺湪閫夋嫨棰樹腑鐨勫嚭鐜版鐜囬珮杈?3%锛屼絾骞冲潎寰楀垎鐜囧彧鏈?8%鈥斺€旇繖璇存槑鎺屾彙鎶€宸у氨鑳借秴瓒婂崐鏁拌€冪敓锛侊級


涓嬫鍐嶉亣鍒發og鈧?鍜宭og鈧?姣斿ぇ灏忥紝璁板緱鍏堟繁鍛煎惛锛岀劧鍚庨粯蹇靛挶浠殑鍥涘ぇ鍙h瘈銆傜浉淇℃垜锛岀粌涓?0閬撻锛屼綘涔熻兘鎴愪负"瀵规暟鏉€鎵?锛侌煉?/p>

本文由嘻道妙招独家原创,未经允许,严禁转载