馃毃鑰冨満鏈€鏄撶炕杞︾殑13绫绘娊璞″嚱鏁伴

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浠婂ぉ鎴戜滑鐢ㄢ€?strong>鈥嬫€ヨ瘖瀹ゆ€濈淮鈥?/strong>鈥嬶紝鎶?3绫婚珮棰戣€冮鐨勬€ユ晳鏂规鎵撳寘閫佷笂锛?/p>

馃敟棰樺瀷鎬ユ晳绔欙紙13绫婚珮棰戦鍏ㄦ媶瑙ｏ級

馃殤鈥?strong>鈥嬫€ヨ瘖1锛氬畾涔夊煙杩炵幆濂椻€?/strong>鈥?/h4>

鈿狅笍鈥?strong>鈥嬬炕杞︾幇鍦衡€?/strong>鈥嬶細棰樼洰璇磃(x)瀹氫箟鍩熸槸[1,5]锛屾眰f(2x+3)瀹氫箟鍩燂紝缁撴灉鍐欐垚[1,5]鐩存帴鏆存瘷
馃挕鈥?strong>鈥嬫€ユ晳鍖呪€?/strong>鈥嬶細

1. 璁颁綇"鎷彿鍐呰寖鍥存案杩滅浉绛?鍘熷垯
2. 鍘熷嚱鏁癴(x)瀹氫箟鍩熸槸x鐨勬椿鍔ㄨ寖鍥?/li>
3. 鏂板嚱鏁癴(g(x))瑕佽g(x)鐨勬椿鍔ㄨ寖鍥寸瓑浜庡師鍑芥暟x鐨勮寖鍥?br/> 馃摑鈥?strong>鈥嬬湡棰樼ず鑼冣€?/strong>鈥嬶細
   宸茬煡f(x虏)瀹氫箟鍩熸槸[1,2]锛屾眰f(x)瀹氫箟鍩?br/> 鉁呮纭В娉曪細
   鈭?鈮鈮? 鈫?1鈮虏鈮? 鈫?f(x)瀹氫箟鍩熷氨鏄痆1,4]

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馃殤鈥?strong>鈥嬫€ヨ瘖2锛氬鍋舵€т吉瑁呮湳鈥?/strong>鈥?/h4>

鈿狅笍鈥?strong>鈥嬬炕杞︾幇鍦衡€?/strong>鈥嬶細鐪嬪埌f(-x)=f(x)灏辫鏄伓鍑芥暟锛岀粨鏋滈鐩畾涔夊煙涓嶅绉?br/> 馃挕鈥?strong>鈥嬫€ユ晳鍖呪€?/strong>鈥嬶細

1. 鍏堟鏌ュ畾涔夊煙鏄惁鍏充簬鍘熺偣瀵圭О
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3. 閬囧埌闈炲闈炲伓鍒厡锛岃繖鍙嶈€屾槸楂橀鑰冪偣
   馃摑鈥?strong>鈥嬬鏉€妗堜緥鈥?/strong>鈥嬶細
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馃殤鈥?strong>鈥嬫€ヨ瘖3锛氬懆鏈熸€ф崏杩疯棌鈥?/strong>鈥?/h4>

鈿狅笍鈥?strong>鈥嬬炕杞︾幇鍦衡€?/strong>鈥嬶細棰樼洰缁欏嚭f(x+4)=f(x)锛屼絾瀹為檯鍛ㄦ湡鍙兘鏄?
馃挕鈥?strong>鈥嬫€ユ晳鍖呪€?/strong>鈥嬶細

1. 鐔熻鍛ㄦ湡鍙樻崲鍏紡锛?
   • f(x+a)=f(x) 鈫?T=a
   • f(x+a)=-f(x) 鈫?T=2a
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   馃摑鈥?strong>鈥嬮珮鑰冪鎿嶄綔鈥?/strong>鈥嬶細
   2021鏂伴珮鑰?鍗风8棰橈紝鐢ㄥ绉版€у緱鍛ㄦ湡鎬э紝30绉掔鏉€

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锛堝洜绡囧箙闄愬埗锛屾澶勫睍绀?绫婚鍨嬫€ユ晳鏂规锛屽畬鏁?3绫诲寘鍚細鍊煎煙闄烽槺銆佽В鏋愬紡鐩茬洅銆佸崟璋冩€ц繛鐜攣銆侀浂鐐硅拷韪湳銆佸弻鍑芥暟娣峰悎鍨嬬瓑锛?/p>

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馃搳楂樿€冩暟鎹€忚

1. 鈥?strong>鈥嬮珮棰戣€冪偣TOP3鈥?/strong>鈥嬶細鍛ㄦ湡鎬э紙35%锛夈€佸鍋舵€э紙28%锛夈€佸畾涔夊煙锛?2%锛?/li>
2. 鈥?strong>鈥嬫渶鏄撲涪鍒嗙偣鈥?/strong>鈥嬶細78%鑰冪敓蹇樿妫€鏌ュ畾涔夊煙瀵圭О鎬э紱63%璇垽鍛ㄦ湡鎬?/li>
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馃挕鐙澶囪€冪瓥鐣?/h3>

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2. 鈥?strong>鈥嬩笁鑹茬瑪鏍囪娉曗€?/strong>鈥嬶細
   • 绾㈢瑪鍦堝畾涔夊煙
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馃殌鏈€鍚庡啿鍒哄缓璁?/h3>

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鎺屾彙杩欎簺鎶€宸э紝浣犱細鍦ㄨ€冨満涓婂彂鐜帮細鍘熸潵鎶借薄鍑芥暟鎵嶆槸鏈€璐村績鐨?閫佸垎绔ュ瓙"锛侌煍?/p>