From e411aae838823ff5e3eee452188c7227bccf0e33 Mon Sep 17 00:00:00 2001 From: 闫增涛 <1829501689@qq.com> Date: 星期四, 17 十月 2024 16:21:41 +0800 Subject: [PATCH] 数学 --- src/books/mathBook/view/components/chapter004.vue | 5943 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++- 1 files changed, 5,802 insertions(+), 141 deletions(-) diff --git a/src/books/mathBook/view/components/chapter004.vue b/src/books/mathBook/view/components/chapter004.vue index 31c5a66..10b358f 100644 --- a/src/books/mathBook/view/components/chapter004.vue +++ b/src/books/mathBook/view/components/chapter004.vue @@ -1,25 +1,54 @@ <template> <div class="chapter" num="5"> - <!-- 绗洓鍗曞厓棣栭〉 --> <div class="page-box" page="120"> <div v-if="showPageList.indexOf(120) > -1"> - <div class="padding-116">绗洓鍗曞厓棣栭〉</div> + <h1 id="a008"> + <img class="img-0" alt="" src="../../assets/images/dy4.jpg" /> + </h1> + <div class="padding-116"> + <p> + 鐭ヨ瘑鏀瑰彉鍛借繍锛屾妧鑳芥垚灏变汉鐢燂紝鍏ㄧぞ浼氬潥鎸佸皧閲嶅姵鍔ㄣ�佸皧閲嶇煡璇嗐�佸皧閲嶄汉鎵嶃�佸皧閲嶅垱閫�.钁楀悕鍘ㄥ笀鍘夋仼娴锋浘鏄竴鍚嶅啗浜猴紝缁冨氨浜嗕竴韬媺闈㈢粷娲伙紝浠栬兘鎶�1 + kg + 鐨勯潰鎷夊嚭200澶氫竾鏍圭粏濡傚彂涓濈殑闈㈡潯锛�4娆″垱閫犲悏灏兼柉涓栫晫绾綍锛岃瑾変负鈥滀腑鍥芥媺闈㈠ぇ鐜嬧��.鎷夐潰浠庝竴鍧楅潰鍧楀紑濮嬶紝鎵嬫彙涓ょ锛屼袱鑷傚潎鍖�鐢ㄥ姏鍔犻�熷悜澶栨娀鎷夛紝鐒跺悗涓ゅご瀵规姌鍚庡啀鎷夛紝姣忓鎶�1娆★紝闈㈡潯鐨勬暟閲忓湪鍘熸湁鍩虹涓婄炕涓�鍊嶏紝濡傛缁х画锛屾瘡娆″鎶樺悗闈㈡潯鐨勬暟閲忓舰鎴愪笅鍒楁暟瀛�1锛�2锛�4锛�8锛�16锛�32锛�64锛屸�︿负浜嗘洿濂藉湴浣撶幇闈㈡潯鏁伴噺涓庡鎶樻鏁扮殑鍏崇郴锛屼篃鍙互琛ㄧず涓�2<sup>0</sup>锛�2<sup>1</sup>锛�2<sup>2</sup>锛�2<sup>3</sup>锛�2<sup>4</sup>锛�2<sup>5</sup>锛�2<sup>6</sup>锛屸�﹁嫢鐢ㄥ嚱鏁拌瑷�鍒荤敾杩欑被鏁伴噺鍏崇郴鍜屽彉鍖栬寰嬶紝灏辨槸鎴戜滑鍗冲皢瀛︿範鐨勬寚鏁板嚱鏁�.鐜板疄鐢熸椿涓紝鏁版嵁閲忕殑鐖嗙偢寮忓闀裤�佺粏鑳炲垎瑁傘�佺⒊14鑰冨彜銆佸偍钃勫埄鐜囷紙澶嶅埄锛夈�佽娑蹭腑鐨勯厭绮惧惈閲忕瓑闂锛岄兘浼氱敤鍒版寚鏁板嚱鏁扮浉鍏崇煡璇�. + </p> + <p> + 鎸囨暟鍑芥暟涓庡鏁板嚱鏁版槸涓ょ被鍩烘湰鍒濈瓑鍑芥暟锛屾槸鎻愰珮鏁板杩愮畻鑳藉姏銆佸煿鍏绘暟褰㈢粨鍚堟�濇兂鍜屾暟瀛﹀缓妯¤兘鍔涚殑閲嶈鍐呭.瀹冧滑鍦ㄤ汉鍙e闀跨粺璁°�佹枃鐗╄�冨彜閴村埆銆佽埅娴峰崼鏄熷畾浣嶇瓑鏂归潰鍙戞尌鐫�閲嶈浣滅敤锛屽湪璐㈢粡銆侀噾铻嶃�佸叕鍏辨湇鍔°�佷俊鎭妧鏈瓑棰嗗煙鏈夊箍娉涘簲鐢�. + </p> + <p> + 鏈崟鍏冩垜浠皢鍦ㄦ暣鏁板箓鐨勫熀纭�涓婃帹骞垮箓鐨勬蹇碉紝瀛︿範瀹炴暟骞傜殑鐩稿叧瀹氫箟鍜岃繍绠楁�ц川銆佹寚鏁板嚱鏁扮殑鍥惧儚涓庢�ц川銆佸鏁板畾涔夊強杩愮畻娉曞垯銆佸鏁板嚱鏁扮殑鍥惧儚涓庢�ц川銆佹寚鏁板嚱鏁颁笌瀵规暟鍑芥暟鐨勫疄闄呭簲鐢ㄧ瓑鍐呭锛屾劅鎮熸暟瀛︿笌鐜板疄鐨勫叧鑱旓紝鎶婃彙浜嬬墿鐨勬湰璐紝褰㈡垚鐞嗘�ф�濊�冮棶棰樼殑鍝佽川鍜岀簿绁�. + </p> + </div> </div> </div> <!-- 鐩爣 --> <div class="page-box" page="121"> <div v-if="showPageList.indexOf(121) > -1"> - <div class="padding-116">鐩爣</div> + <div class="padding-116"> + <p class="left"> + <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" /> + </p> + <div class="fieldset"> + <p>1.瀹炴暟鎸囨暟骞�.</p> + <p> + 鑳戒綋浼氭寚鏁颁粠姝f暣鏁版帹骞垮埌鏈夌悊鏁般�佸疄鏁扮殑杩囩▼锛屼簡瑙e疄鏁版寚鏁板箓鐨勮繍绠楁硶鍒�. + </p> + <p>2.鎸囨暟鍑芥暟鍜屽鏁板嚱鏁�.</p> + <p>鑳藉�熷姪鍑犱綍鐩磋鍜屼唬鏁拌繍绠楄璇嗘寚鏁板嚱鏁板拰瀵规暟鍑芥暟锛�</p> + <p> + 浜嗚В鎸囨暟鍑芥暟鍜屽鏁板嚱鏁扮殑瀹氫箟锛岀悊瑙e畠浠殑鍥惧儚鍙婃�ц川锛屾劅鎮熸暟褰㈢粨鍚堢殑鏁板鎬濇兂锛� + </p> + <p>浼氱敤瀵规暟鐨勫畾涔夎繘琛屾寚鏁板紡涓庡鏁板紡鐨勪簰鍖栵紱</p> + <p>浜嗚В瀵规暟鐨勬�ц川鍜岃繍绠楁硶鍒�.</p> + <p>3.鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤.</p> + <p>鑳戒粠瀹為檯鎯呭鎶借薄鍑烘寚鏁板嚱鏁般�佸鏁板嚱鏁版ā鍨嬭В鍐崇畝鍗曢棶棰�.</p> + </div> + </div> </div> </div> - - <!-- 115 --> <div class="page-box" page="122"> <div v-if="showPageList.indexOf(122) > -1"> - - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -28,25 +57,809 @@ <p><span>115</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h2 id="b022"> + 4.1 瀹炴暟鎸囨暟骞�<span 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+ <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 涓�鑸湴锛屽鏋�<i>b<sup>n</sup></i>=<i>a</i>锛�<i>n</i>锛�1锛�<i>n</i>鈭�<b>N</b>锛夛紝閭d箞<i>b</i>灏卞彨浣�<i>a</i>鐨�<i>n</i>娆℃柟鏍�. + </p> + <p> + 褰�<i>n</i>鏄鏁版椂锛屾鏁�<i>a</i>鐨�<i>n</i>娆℃柟鏍规槸涓�涓鏁帮紝璐熸暟<i>a</i>鐨�<i>n</i>娆℃柟鏍规槸涓�涓礋鏁�.杩欐椂锛�<i>a</i>鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math + display="0"> + <mroot> + <mi>a</mi> + <mi>n</mi> + </mroot> + </math>琛ㄧず.渚嬪锛� + </p> + <math display="block"> + <mroot> + <mn>128</mn> + <mn>7</mn> + </mroot> + <mo>=</mo> + <mn>2</mn> + <mo>锛�</mo> + <mroot> + <mrow> + <mo>鈭�</mo> + <mn>128</mn> + </mrow> + <mn>7</mn> + </mroot> + <mo>=</mo> + <mo>鈭�</mo> + <mn>2</mn> + <mo>锛�</mo> + <mroot> + <msup> + <mi>a</mi> + <mrow> + <mn>6</mn> + </mrow> + </msup> + <mn>3</mn> + </mroot> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>.</mo> + </math> + <p> + 褰�<i>n</i>鏄伓鏁版椂锛屾鏁�<i>a</i>鐨�<i>n</i>娆℃柟鏍规湁涓や釜锛屼袱鏁颁簰涓虹浉鍙嶆暟.杩欐椂锛屾鏁�<i>a</i>鐨勬鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math 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</mroot> + <mo>=</mo> + <mn>5</mn> + </math>锛� + </p> + <p> + 锛�2锛� + <math display="0"> + <mroot> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mo>鈭�</mo> + <mn>5</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mn>3</mn> + </mroot> + <mo>=</mo> + <mo>鈭�</mo> + <mn>5</mn> + </math>锛� + </p> + <p> + 锛�3锛� + <math display="0"> + <mroot> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mn>7</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + <mo>=</mo> + <mn>7</mn> + </math>锛� + </p> + <p> + 锛�4锛� + <math display="0"> + <mroot> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mo>鈭�</mo> + <mn>7</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + <mo>=</mo> + <mrow data-mjx-texclass="INNER"> + 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</math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� + <math display="0"> + <mroot> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mn>3</mn> + <mo>鈭�</mo> + <mi>a</mi> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mn>3</mn> + </mroot> + <mo>=</mo> + <mn>3</mn> + <mo>鈭�</mo> + <mi>a</mi> + </math>锛� + </p> + <p> + 锛�2锛� + <math display="0"> + <mroot> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mn>3</mn> + <mo>鈭�</mo> + <mrow> + <mi>蟺</mi> + </mrow> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + <mo>=</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">|</mo> + <mn>3</mn> + <mo>鈭�</mo> + <mrow> + <mi>蟺</mi> + </mrow> + <mo data-mjx-texclass="CLOSE">|</mo> + </mrow> + <mo>=</mo> + <mo>鈭�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mn>3</mn> + <mo>鈭�</mo> + <mrow> + <mi>蟺</mi> + </mrow> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <mrow> + <mi>蟺</mi> + </mrow> + <mo>鈭�</mo> + <mn>3</mn> + </math>. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 鍦ㄥ垵涓紝鎴戜滑鏇惧涔犺繃鏁存暟骞傜殑鐩稿叧鐭ヨ瘑.<i>a<sup>n</sup></i>锛�<i>n</i>鈭�<b>N</b><sub>+</sub>锛夌О涓�<i>a</i>鐨�<i>n</i>娆″箓锛�<i>a</i>鍙綔搴曟暟锛�<i>n</i>鍙綔鎸囨暟. + </p> + <p> + 锛�1锛� + <math display="0"> + <msup> + <mi>a</mi> + <mrow> + <mi>n</mi> + </mrow> + </msup> + <mo>=</mo> + <munder> + <mrow data-mjx-texclass="OP"> + <munder> + <mrow> + <mi>a</mi> + <mo>鈰�</mo> + <mi>a</mi> + <mo>鈰�</mo> + <mi>a</mi> + <mo>鈰�</mo> + <mo>鈰�</mo> + <mo>鈰�</mo> + <mi>a</mi> + </mrow> + <mo>鈴�</mo> + </munder> + </mrow> + <mrow> + <mi>n</mi> + <mo stretchy="false">鈫�</mo> + <mi>a</mi> + </mrow> + </munder> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>锛� + </p> + <p>锛�2锛� <i>a</i><sup>0</sup>=1锛�<i>a</i>鈮�0锛夛紱</p> + <p> + 锛�3锛� + <math display="0"> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mi>n</mi> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mi>a</mi> + <mrow> + <mi>n</mi> + </mrow> + </msup> + </mfrac> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>a</mi> + <mo>鈮�</mo> + <mn>0</mn> + <mo>,</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>. + </p> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /> + </p> + </div> + <p class="block">鍒嗘暟鎸囨暟骞�</p> + </div> + <p>璇曟兂锛屽鏋滃箓鎸囨暟<i>n</i>鏄垎鏁版椂锛屾鏃剁殑鎸囨暟骞傚簲璇ュ浣曡〃绀哄憿锛�</p> + <p> + 涓烘锛屾垜浠幇灏嗘暣鏁版寚鏁板箓鐨勬蹇佃繘琛屾帹骞匡紝鍒╃敤鍒氬涔犺繃鐨勬牴寮忔潵琛ㄧず鍒嗘暟鎸囨暟骞傦紝瑙勫畾<b>鍒嗘暟鎸囨暟骞�</b>鐨勬剰涔夊涓嬶紙涓虹畝鍖栬璁猴紝鎴戜滑绾﹀畾搴曟暟<i>a</i>锛�0锛�. + </p> + <math display="block"> + <mtable columnspacing="1em" rowspacing="4pt"> + <mtr> + <mtd> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mi>m</mi> + <mi>n</mi> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mroot> + <msup> + <mi>a</mi> + <mrow> + <mi>m</mi> + </mrow> + </msup> + <mi>n</mi> + </mroot> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mo>,</mo> + <mi>m</mi> + <mo>,</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo>,</mo> + <mi>n</mi> + <mo>></mo> + <mn>1</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>,</mo> + <mi>m</mi> + <mo>=</mo> + <mn>1</mn> + <mtext> 鏃�, 鏈� </mtext> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mi>n</mi> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mroot> + <mi>a</mi> + <mi>n</mi> + </mroot> + <mo>.</mo> + </mtd> + </mtr> + <mtr> + <mtd> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mi>m</mi> + <mi>n</mi> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mi>m</mi> + <mi>n</mi> + </mfrac> + </mrow> + </msup> + </mfrac> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mroot> + <msup> + <mi>a</mi> + <mrow> + <mi>m</mi> + </mrow> + </msup> + <mi>n</mi> + </mroot> + </mfrac> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mo>,</mo> + <mi>m</mi> + <mo>,</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo>,</mo> + <mi>n</mi> + <mo>></mo> + <mn>1</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>.</mo> + </mtd> + </mtr> + </mtable> + </math> + <p> + 杩欐牱锛屽箓鎸囨暟鐨勬蹇靛氨浠庢暣鏁版寚鏁板箓鎺ㄥ箍鍒颁簡鏈夌悊鏁版寚鏁板箓.鍙姣忎竴涓湁鐞嗘暟鎸囨暟骞傛湁鎰忎箟锛屾暣鏁版寚鏁板箓鐨勮繍绠楁�ц川瀵规湁鐞嗘暟鎸囨暟骞傚氨鍚屾牱閫傜敤.鍥犳锛屾垜浠垵涓� + </p> + </div> </div> </div> <!-- 117 --> <div class="page-box" page="124"> <div v-if="showPageList.indexOf(124) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -55,7 +868,355 @@ <p><span>117</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="t0"> + 瀛︿範杩囩殑鏁存暟鎸囨暟骞傜殑杩愮畻鎬ц川灏卞彲浠ユ帹骞垮埌鏈夌悊鏁版寚鏁板箓. + </p> + <p>璁�<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>m</i>锛�<i>n</i>鈭�<b>Q</b>锛屽垯</p> + <p> + 锛�1锛� <i>a<sup>m</sup> a<sup>n</sup></i>=<i>a<sup>m+n</sup></i>锛� + </p> + <p> + 锛�2锛夛紙<i>a<sup>m</sup></i>锛�<i><sup>n</sup></i>=<i>a<sup>mn</sup></i>锛� + </p> + <p> + 锛�3锛夛紙<i>ab</i>锛�<i><sup>n</sup></i>=<i>a<sup>n</sup> b<sup>n</sup></i>. + </p> + <p> + <span class="zt-ls"><b>渚�3</b></span>銆�灏嗕笅鍒楁牴寮忕敤鍒嗘暟鎸囨暟骞傝〃绀猴紙寮忎腑瀛楁瘝鍧囦负姝e疄鏁帮級. + </p> + <p> + 锛�1锛� + <math display="0"> + <mroot> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + </math>锛涳紙2锛� + <math display="0"> + <mroot> + <msup> + <mi>x</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mn>6</mn> + </mroot> + </math>锛涳紙3锛� + <math display="0"> + <mfrac> + <mn>1</mn> + <mroot> + <msup> + <mn>5</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + </mfrac> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� + <math display="0"> + <mroot> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + </math>锛� + </p> + <p> + 锛�2锛� + <math display="0"> + <mroot> + <msup> + <mi>x</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mn>6</mn> + </mroot> + <mo>=</mo> + <msup> + <mi>x</mi> + <mrow> + <mfrac> + <mn>2</mn> + <mn>6</mn> + </mfrac> + </mrow> + </msup> + </math>锛涳紙娉ㄦ剰锛氭澶勪笉鑳藉寲绠�涓�<math display="0"> + <msup> + <mi>x</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + </math>锛� + </p> + <p> + 锛�3锛� + <math display="0"> + <mfrac> + <mn>1</mn> + <mroot> + <msup> + <mn>5</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mn>4</mn> + </mroot> + </mfrac> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mn>5</mn> + <mrow> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + </mfrac> + <mo>=</mo> + <msup> + <mn>5</mn> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + </math> + </p> + <p> + <span class="zt-ls"><b>渚�4</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�. + </p> + <p> + 锛�1锛�<math display="0"> + <msup> + <mn>27</mn> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + </math>锛涳紙2锛� + <math display="0"> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>8</mn> + </mrow> + </msup> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0"> + <msup> + <mn>27</mn> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mn>27</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + </mfrac> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mroot> + <mn>27</mn> + <mn>3</mn> + </mroot> + </mfrac> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </math>锛� + </p> + <p> + 锛�2锛�<math display="0"> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>8</mn> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>8</mn> + </mrow> + </msup> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>8</mn> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mn>6</mn> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <msup> + <mi>a</mi> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>6</mn> + </mrow> + </msup> + </mfrac> + </math>. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[124]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> <!-- 118 --> @@ -66,14 +1227,111 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - - <div class="padding-116"></div> + <div class="padding-116"> + <h3 id="c035">4.1.2 瀹炴暟鎸囨暟骞�<span class="fontsz2">锛烇紴锛�</span></h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /> + </p> + <p> + 灏忓鎴戜滑瀛︿範浜嗚嚜鐒舵暟锛屽垵涓粠鑷劧鏁版嫇灞曞埌鏁存暟銆佹湁鐞嗘暟涔冭嚦瀹炴暟.绫讳技鍦帮紝鍦ㄥ涔犳湁鐞嗘暟鎸囨暟骞傜殑鍩虹涓婏紝鎴戜滑鍙互灏�<i>a<sup>x</sup></i>涓寚鏁�<i>x</i>鐨勫彇鍊艰寖鍥翠粠鏈夌悊鏁版嫇灞曞埌鍏ㄤ綋瀹炴暟锛屾鏃讹紝<i>a<sup>x</sup></i>鐨勬剰涔夋槸浠�涔堝憿锛熷<math + display="0"> + <msup> + <mn>2</mn> + <mrow> + <msqrt> + <mn>3</mn> + </msqrt> + </mrow> + </msup> + </math>锛�<math display="0"> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <msqrt> + <mn>2</mn> + </msqrt> + </mrow> + </msup> + </math>锛屽畠浠槸涓�涓‘瀹氱殑鏁板悧锛熻兘鍚﹁绠楀嚭缁撴灉鍛紵 + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /> + </p> + <p> + 瀹炴暟鎸囨暟骞� 浜嬪疄涓婏紝鎴戜滑鍙互閫氳繃绉戝璁$畻鍣ㄨ绠楀嚭<math display="0"> + <msup> + <mn>2</mn> + <mrow> + <msqrt> + <mn>3</mn> + </msqrt> + </mrow> + </msup> + </math>锛�<math display="0"> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <msqrt> + <mn>2</mn> + </msqrt> + </mrow> + </msup> + </math>鐨勫�硷紙璇峰悓瀛︿滑鑷繁鍒╃敤绉戝璁$畻鍣ㄦ垨涓嬭浇璁$畻鏈鸿蒋浠惰繘琛岃绠楋級.濡傛灉绮剧‘鍒�0.01鏃讹紝<math display="0"> + <msup> + <mn>2</mn> + <mrow> + <msqrt> + <mn>3</mn> + </msqrt> + </mrow> + </msup> + </math>鐨勮繎浼煎�间负3.32锛�<math display="0"> + <msup> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + <mrow> + <msqrt> + <mn>2</mn> + </msqrt> + </mrow> + </msup> + </math>鐨勮繎浼煎�间负0.14锛屽嵆琛ㄦ槑杩欎簺鏃犵悊鏁版寚鏁板箓閮芥槸涓�涓‘瀹氱殑瀹炴暟.杩欐牱锛屾垜浠皢鎸囨暟骞�<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛変腑鎸囨暟<i>x</i>鐨勫彇鍊艰寖鍥翠粠鏁存暟閫愭鎷撳睍鍒版湁鐞嗘暟銆佹棤鐞嗘暟锛屼箖鑷冲疄鏁�.褰�<i>x</i>涓轰换鎰忓疄鏁版椂锛�<b>瀹炴暟鎸囨暟骞�</b><i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛夎〃绀轰竴涓‘瀹氬疄鏁�.鐜板疄鐢熸椿涓紝鎴戜滑閫氳繃绫绘瘮銆佽仈鎯炽�佺寽鎯崇瓑鏂瑰紡鍙垱鏂拌璁″嚭寰堝涓嶅悓鐨勪簨鐗╁拰妯″紡. + </p> + <p> + 鏈夌悊鏁版寚鏁板箓鐨勮繍绠楁�ц川鍚屾牱閫傜敤浜庡疄鏁版寚鏁板箓鐨勮繍绠楁�ц川锛堣瘉鏄庣暐锛夛紝鍗冲綋<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>p</i>锛�<i>q</i>鈭�<b>R</b>鏃讹紝鏈� + </p> + <p> + 锛�1锛� <i>a<sup>p</sup> a<sup>q</sup></i>=<i>a<sup>p+q</sup></i>锛� + </p> + <p> + 锛�2锛夛紙<i>a<sup>p</sup></i>锛�<i><sup>q</sup></i>=<i>a<sup>pq</sup></i>锛� + </p> + <p> + 锛�3锛夛紙<i>ab</i>锛�<i><sup>p</sup></i>=<i>a<sup>p</sup> b<sup>p</sup></i>. + </p> + <p>娉ㄦ剰锛氳繍绠楁�ц川鎴愮珛鐨勬潯浠舵槸姣忎釜瀹炴暟鎸囨暟骞傞兘鏈夋剰涔�.</p> + </div> </div> </div> <!-- 119 --> <div class="page-box" page="126"> <div v-if="showPageList.indexOf(126) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -82,25 +1340,1115 @@ <p><span>119</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /> + </p> + </div> + <p class="block"> + 瀵逛緥1锛�1锛� + 棰橈紝鎴戜滑闇�瑕佸皢鏌愪簺搴曟暟鍙樺舰涓烘寚鏁板箓鐨勫舰寮忥紝浠ユ柟渚垮埄鐢ㄥ疄鏁版寚鏁板箓鐨勮繍绠楁硶鍒欒繘琛岃绠楁垨鑰呭寲绠�. + </p> + </div> + <p> + <span class="zt-ls"><b>渚�1</b></span>銆�璁$畻锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�. + </p> + <p> + 锛�1锛�<math display="0"> + <msup> + <mn>16</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo>鈭�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>+</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">锛�</mo> + <msqrt> + <mn>2</mn> + </msqrt> + <mo>鈭�</mo> + <mn>1</mn> + <mo data-mjx-texclass="CLOSE">锛�</mo> + </mrow> + <mrow> + <mn>0</mn> + </mrow> + </msup> + </math>锛涳紙2锛� + <math display="0"> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>5</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <mo>鈰�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <mo>梅</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mfrac> + <mn>5</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>3</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> + </p> + <p class="left1"> + <math display=""> + <mtable columnalign="left" columnspacing="1em" rowspacing="4pt"> + <mtr> + <mtd> + <mtext>锛�1锛�</mtext> + <msup> + <mn>16</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo>鈭�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>+</mo> + <mo stretchy="false">(</mo> + <msqrt> + <mn>2</mn> + </msqrt> + <mo>鈭�</mo> + <mn>1</mn> + <msup> + <mo stretchy="false">)</mo> + <mrow> + <mn>0</mn> + </mrow> + </msup> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo>鈭�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">[</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">]</mo> + </mrow> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>+</mo> + <mn>1</mn> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>4</mn> + <mo>脳</mo> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo>鈭�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>3</mn> + <mo>脳</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mo>鈭�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </mrow> + </msup> + <mo>+</mo> + <mn>1</mn> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <mn>2</mn> + <mo>鈭�</mo> + <mn>3</mn> + <mo>+</mo> + <mn>1</mn> + <mo>=</mo> + <mn>0</mn> + <mo>;</mo> + </mtd> + </mtr> + <mtr> + <mtd> + <mtext>锛�2锛�</mtext> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>5</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <mo>鈰�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <mo>梅</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mfrac> + <mn>5</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>3</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + <mo>脳</mo> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>5</mn> + <mo>脳</mo> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>a</mi> + <mrow> + <mn>2</mn> + <mo>脳</mo> + <mfrac> + <mn>1</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <mo>梅</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + <mo>脳</mo> + <mfrac> + <mn>3</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mfrac> + <mn>5</mn> + <mn>3</mn> + </mfrac> + <mo>脳</mo> + <mfrac> + <mn>3</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>5</mn> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>2</mn> + <mn>5</mn> + </mfrac> + <mo>鈭�</mo> + <mfrac> + <mn>9</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>1</mn> + <mo>鈭�</mo> + <mn>1</mn> + </mrow> + </msup> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>2</mn> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mi>a</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + </mfrac> + <mo>.</mo> + </mtd> + </mtr> + </mtable> + </math> + </p> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�. + </p> + <p> + 锛�1锛� + <math display="0"> + <msqrt> + <mn>2</mn> + </msqrt> + <mo>脳</mo> + <mroot> + <mn>8</mn> + <mn>4</mn> + </mroot> + <mo>脳</mo> + <mroot> + <mn>64</mn> + <mn>8</mn> + </mroot> + </math>锛涳紙2锛� + <math display="0"> + <msqrt> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + </mrow> + </msup> + </msqrt> + <mo>路</mo> + <mroot> + <mrow> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>2</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + </mrow> + <mn>3</mn> + </mroot> + <mo>路</mo> + <mroot> + <mrow> + <mi>a</mi> + <msup> + <mi>b</mi> + <mrow> + <mn>5</mn> + </mrow> + </msup> + </mrow> + <mn>6</mn> + </mroot> + </math>. + </p> + <p class="block"> + <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�杩愮畻鎬濊矾鏄皢鏍瑰紡杞寲涓哄垎鏁版寚鏁板箓锛岀劧鍚庡啀鍖栫畝杩愮畻. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> + </p> + <math display=""> + <mtable columnalign="left" columnspacing="1em" rowspacing="4pt"> + <mtr> + <mtd> + <mo stretchy="false">锛�1锛�</mo> + <msqrt> + <mn>2</mn> + </msqrt> + <mo>脳</mo> + <mroot> + <mn>8</mn> + <mn>4</mn> + </mroot> + <mo>脳</mo> + <mroot> + <mn>64</mn> + <mn>8</mn> + </mroot> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <mo>脳</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo>脳</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>6</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>8</mn> + </mfrac> + </mrow> + </msup> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <mo>脳</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + </mrow> + </msup> + <mo>脳</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mn>6</mn> + <mn>8</mn> + </mfrac> + </mrow> + </msup> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>3</mn> + <mn>4</mn> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>6</mn> + <mn>8</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>=</mo> + <mn>4</mn> + <mo>;</mo> + </mtd> + </mtr> + <mtr> + <mtd> + <mtext>锛�2锛�</mtext> + <msqrt> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + </mrow> + </msup> + </msqrt> + <mo>鈰�</mo> + <mroot> + <mrow> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>2</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + </mrow> + <mn>3</mn> + </mroot> + <mo>鈰�</mo> + <mroot> + <mrow> + <mi>a</mi> + <msup> + <mi>b</mi> + <mrow> + <mn>5</mn> + </mrow> + </msup> + </mrow> + <mn>6</mn> + </mroot> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <mo>鈰�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mn>2</mn> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>鈰�</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>a</mi> + <msup> + <mi>b</mi> + <mrow> + <mn>5</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>1</mn> + <mn>6</mn> + </mfrac> + </mrow> + </msup> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>3</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>鈰�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>鈰�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>6</mn> + </mfrac> + </mrow> + </msup> + <msup> + <mi>b</mi> + <mrow> + <mfrac> + <mn>5</mn> + <mn>6</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </mtd> + </mtr> + <mtr> + <mtd> + <mo>=</mo> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mn>3</mn> + <mn>2</mn> + </mfrac> + <mo>鈭�</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>1</mn> + <mn>6</mn> + </mfrac> + </mrow> + </msup> + <mo>鈰�</mo> + <msup> + <mi>b</mi> + <mrow> + <mo>鈭�</mo> + <mfrac> + <mn>3</mn> + <mn>2</mn> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>5</mn> + <mn>6</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mi>a</mi> + <mo>.</mo> + </mtd> + </mtr> + </mtable> + </math> + </div> </div> </div> <!-- 120 --> <div class="page-box" page="127"> <div v-if="showPageList.indexOf(127) > -1"> - <ul class="page-header-odd fl al-end"> <li>120</li> <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + <span class="zt-ls"><b>渚�3</b></span>銆�璁$畻 + 2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>锛�<i>x</i>鈭�<b>N</b>锛�. + </p> + <p class="block"> + <span + class="zt-ls2"><b>鍒嗘瀽</b></span>銆�瑙傚療杩欎釜寮忓瓙鐨勭壒鐐癸紝姣忎竴椤归兘鏄墠闈竴椤圭殑2鍊嶏紙闄ょ1椤瑰锛夛紱杩愮畻鎬濊矾鍙�冭檻灏嗕唬鏁板紡姣忛」涔�2鍚庡啀涓庡師寮忕浉鍑�.鏁板涓婃妸杩欑杩愮畻鏂规硶鍙綔鈥滈敊浣嶇浉鍑忊��. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> 浠� + </p> + <math display="block"> + <mi>S</mi> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>0</mn> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>1</mn> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo>+</mo> + <mo>鈥�</mo> + <msup> + <mn>2</mn> + <mrow> + <mi>x</mi> + <mo>鈭�</mo> + <mn>1</mn> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>.</mo> + </math> + <p class="right">鈶�</p> + <p>灏嗏憼寮忎袱杈瑰悓鏃朵箻2锛屽緱</p> + <math display="block"> + <mn>2</mn> + <mi>S</mi> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>1</mn> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo>+</mo> + <mo>鈥�</mo> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>+</mo> + <msup> + <mn>2</mn> + <mrow> + <mi>x</mi> + <mo>+</mo> + <mn>1</mn> + </mrow> + </msup> + <mo>.</mo> + </math> + <p class="right">鈶�</p> + <p>鐢ㄢ憽寮忓噺鈶犲紡鍙緱</p> + <p> + 2<i>S</i>-<i>S</i>=锛�2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>+2<i><sup>x</sup></i><sup>+1</sup>锛�-锛�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i><sup>-1</sup>+2<i><sup>x</sup></i>锛夛紝 + </p> + <p> + 鍗�<i>S</i>=2<i><sup>x+1</sup></i>-1锛� + </p> + <p> + 鎵�浠ワ紝銆�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>=2<i><sup>x+1</sup></i>-1. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[127]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> <!-- 121 --> <div class="page-box" page="128"> <div v-if="showPageList.indexOf(128) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -109,7 +2457,76 @@ <p><span>121</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h3 id="c036">涔犻4.1<span class="fontsz2">锛烇紴锛�</span></h3> + <div class="bj"> + <examinations :cardList="questionData[128]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <h2 id="b023"> + 4.2 鎸囨暟鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <h3 id="c037"> + 4.2.1 鎸囨暟鍑芥暟鐨勫畾涔変笌鍥惧儚<span class="fontsz2">锛烇紴锛�</span> + </h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /> + </p> + <p> + 鎯呭1锛氥�婂簞瀛惵峰ぉ涓嬬瘒銆嬩腑鏈変竴娈佃剭鐐欎汉鍙g殑璇濓細鈥滀竴灏轰箣妫帮紝鏃ュ彇鍏跺崐锛屼竾涓栦笉绔�.鈥濊繖閲岀殑鈥滀竴灏轰箣妫扳�濓紝鍗充竴灏猴紙闀垮害鍗曚綅锛�1灏虹害鍚�0.33 + m锛夐暱鐨勬湪妫嶏紝鈥滄棩鍙栧叾鍗娾�濆嵆姣忓ぉ鍙栧畠鐨勪竴鍗�.鑻ヤ竴鐩粹�滄棩鍙栧叾鍗娾�濓紝鍒欐瘡澶╁墿涓嬬殑鏈ㄦ闀垮害灏辨槸涓嬮潰鐨勪竴鍒楁暟瀛�. + </p> + <math display="block"> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo>,</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>,</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo>,</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>4</mn> + </mrow> + </msup> + <mo>,</mo> + <mo>鈰�</mo> + </math> + </div> </div> </div> <!-- 122 --> @@ -120,13 +2537,194 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + 璁板彇鍒扮<i>x</i>澶╂椂鍓╀笅鐨勯暱搴︿负<i>y</i>锛岄偅涔�<i>y</i>涓� + <i>x</i>鐨勫嚱鏁板叧绯绘槸 + </p> + <math display="block"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>.</mo> + </math> + <p class="right">鈶�</p> + <p> + 鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<i>x</i>鈭�<b>N</b><sub>+</sub>. + </p> + <p> + 鎯呭2锛氱粏鑳炴瘡鍒嗚1娆″叾鏁伴噺鍙樹负鍘熸潵鐨勪袱鍊嶏紝鍒欐瘡娆″垎瑁傚悗鐨勭粏鑳炴暟閲忚琛�4-1. + </p> + <p class="img">琛�4-1</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0133-2.jpg" /> + </p> + <p> + 濡傛灉璁剧粏鑳炲垎瑁傜殑娆℃暟涓�<i>x</i>锛屽搴斿垎瑁傚悗鐨勭粏鑳炴暟閲忎负<i>y</i>锛岄偅涔�<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯绘槸 + </p> + <math display="block"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mn>2</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>.</mo> + </math> + <p class="right">鈶�</p> + <p> + 鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<i>x</i>鈭�<b>N</b><sub>+</sub>. + </p> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /> + </p> + </div> + <p class="block">鎸囨暟鍑芥暟</p> + </div> + <p> + 濡傛灉鐢ㄥ瓧姣�<i>a</i>浠f浛涓婅堪鈶犫憽涓ゅ紡涓殑搴曟暟<math display="0"> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </math>鍜�2锛岄偅涔堝嚱鏁�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>鍜� <i>y</i>=2<i><sup>x</sup></i>灏卞彲浠ヨ〃绀轰负 + </p> + <p class="center"> + <i>y</i>=<i>a<sup>x</sup></i> + </p> + <p> + 鐨勫舰寮忥紝鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽簳鏁�<i>a</i>鏄竴涓ぇ浜�0涓斾笉绛変簬 + 1鐨勫父閲�. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 涓�鑸湴锛屽舰濡�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙綔<b>鎸囨暟鍑芥暟</b>锛屽叾涓寚鏁�<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<b>R</b>. + </p> + <p> + <b>渚�</b> 宸茬煡鎸囨暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�3锛�=125. + </p> + <p>锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忥紱</p> + <p> + 锛�2锛� 姹�<i>f</i>锛�0锛夛紝<i>f</i>锛�2锛夛紝<i>f</i>锛�-2锛夛紝<math display="0"> + <mi>f</mi> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>鐨勫��. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� + 鍥犱负<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�3锛�=125锛屾墍浠�<i>a</i><sup>3</sup>=125锛岃В寰�<i>a</i>=5锛屼簬鏄�<i>f</i>锛�<i>x</i>锛�=5<i><sup>x</sup></i>. + </p> + <p> + 锛�2锛� + <i>f</i>锛�0锛�=5<sup>0</sup>=1锛�<i>f</i>锛�2锛�=5<sup>2</sup>=25锛�<math display="0"> + <mi>f</mi> + <mo>鈭�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mo>鈭�</mo> + <mn>2</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <msup> + <mn>5</mn> + <mrow> + <mo>鈭�</mo> + <mn>2</mn> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mn>5</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + </mfrac> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mn>25</mn> + </mfrac> + </math>锛�<math display="0"> + <mi>f</mi> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <msup> + <mn>5</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <msqrt> + <mn>5</mn> + </msqrt> + </math>. + </p> + </div> </div> </div> <!-- 123 --> <div class="page-box" page="130"> <div v-if="showPageList.indexOf(130) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -135,7 +2733,78 @@ <p><span>123</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <div class="bk-hzjl"> + <div class="bj1-hzjl"> + <p class="left"> + <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /> + </p> + </div> + <examinations :cardList="questionData[130]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" /> + </p> + </div> + <p class="block"> + 鍒濅腑鎴戜滑瀛︿範浜嗘姣斾緥鍑芥暟銆佸弽姣斾緥鍑芥暟鍜屼簩娆″嚱鏁帮紝閫氳繃鎻忕偣娉曠敾鍑哄畠浠殑鍥惧儚鍒嗗埆鏄洿绾裤�佸弻鏇茬嚎鍜屾姏鐗╃嚎锛堝鍥�4-1鎵�绀猴級.鎴戜滑鍙被姣斿�熼壌瀛︿範涓婅堪鍑芥暟鐨勭粡楠岋紝鐢诲嚭鎸囨暟鍑芥暟鐨勫浘鍍忥紝鍐嶅埄鐢ㄥ浘鍍忎笌瑙f瀽寮忥紝鐮旂┒鍏跺崟璋冩�с�佸鍋舵�х瓑. + </p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0134-3.jpg" /> + </p> + <p class="img">鍥�4-1</p> + </div> + <p><b>绫绘瘮褰掔撼</b></p> + <p> + 涓庡垵涓敾浜屾鍑芥暟鍥惧儚涓�鏍凤紝涔熷彲鐢ㄦ弿鐐规硶鐢诲嚭鎸囨暟鍑芥暟鐨勫浘鍍�.涓嬮潰鎴戜滑浠�<i>y</i>=2<i><sup>x</sup></i>鍜�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>涓轰緥锛岀敾鍑哄叾鍑芥暟鍥惧儚. + </p> + <p>绗竴姝ワ細鍒楄〃锛堝琛�4-2鎵�绀猴級.</p> + <p class="img">琛�4-2</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0134-5.jpg" /> + </p> + <p> + 绗簩姝ワ細鎻忕偣锛屽苟涓旂敤鍏夋粦鐨勬洸绾胯繛鎺ユ墍鎻忕殑鐐癸紝鐢诲嚭瀹冧滑鐨勫浘鍍忥紙濡傚浘4-2鎵�绀猴級. + </p> + <p> + 鍒╃敤鐩稿悓鏂规硶锛屾垜浠繕鍙互鍦ㄥ悓涓�骞抽潰鐩磋鍧愭爣绯讳腑鐢诲嚭<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>2</mn> + <mn>5</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>锛� + </p> + </div> </div> </div> <!-- 124 --> @@ -146,14 +2815,127 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>锛� <i>y</i>=2.3<i><sup>x</sup></i>锛�<i>y</i>=3<i><sup>x</sup></i>鐨勫浘鍍忥紝濡傚浘4-3鎵�绀�. + <ul class="fl"> + <li style="margin-top: 30px"> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0135-2.jpg" /> + </p> + <p class="img">鍥�4-2</p> + </li> + <li> + <p class="center"> + <img class="img-b" alt="" src="../../assets/images/0135-3.jpg" /> + </p> + <p class="img">鍥�4-3</p> + </li> + </ul> + <h3 id="c038"> + 4.2.2 鎸囨暟鍑芥暟鐨勬�ц川<span class="fontsz2">锛烇紴锛�</span> + </h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /> + </p> + <p> + 瑙傚療鎸囨暟鍑芥暟鐨勫浘鍍忥紝鎻忚堪杩欎簺鍥惧儚鍦ㄤ綅缃�佸叕鍏辩偣鍜屽彉鍖栬秼鍔跨瓑鏂归潰鐨勫叡鎬х壒寰�. + </p> + <p> + 锛�1锛� 鍥句腑鎵�鏈夋寚鏁板嚱鏁板浘鍍忓潎鍦�<i>x</i>杞寸殑涓婃柟锛�<b>浣嶇疆鐗瑰緛</b>锛夛紱 + </p> + <p> + 锛�2锛� 鍥句腑鎵�鏈夋寚鏁板嚱鏁板浘鍍忛兘缁忚繃瀹氱偣锛�0锛�1锛夛紙<b>鍏叡鐐圭壒寰�</b>锛夛紱 + </p> + <p> + 锛�3锛� + 鍦ㄥ畾涔夊煙鍐咃紝鎸囨暟鍑芥暟<i>y</i>=2<i><sup>x</sup></i>锛�<i>y</i>=2.3<i><sup>x</sup></i>锛�<i>y</i>=3<i><sup>x</sup></i>鍥惧儚浠庡乏鍚戝彸鍒嗗埆閫愭笎涓婂崌锛屽湪绗簩璞¢檺鍐呭悜宸︿笌<i>x</i>杞存棤闄愭帴杩戯紱鎸囨暟鍑芥暟<math + display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>锛�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>2</mn> + <mn>5</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>锛�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>鍥惧儚浠庡乏鍚戝彸鍒嗗埆閫愭笎涓嬮檷锛屽湪绗竴璞¢檺鍐呭悜鍙充笌<i>x</i>杞存棤闄愭帴杩戯紙<b>鍙樺寲瓒嬪娍鐗瑰緛</b>锛�. + </p> + <p> + 鎴戜滑瑙傚療鍒嗘瀽鍙戠幇锛屾寚鏁板嚱鏁�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鎸夊簳鏁�<i>a</i>鐨勫彇鍊硷紝鍙垎涓�0锛�<i>a</i>锛�1鍜�<i>a</i>锛�1涓ょ绫诲瀷. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 涓�鑸湴锛屾寚鏁板嚱鏁�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夊叿鏈変笅鍒楁�ц川. + </p> + <p>锛�1锛� 鍑芥暟鐨勫畾涔夊煙涓�<i>R</i>锛屽�煎煙涓猴紙0锛�+鈭烇級锛�</p> + <p>锛�2锛� 褰�<i>x</i>=0鏃讹紝鍑芥暟鍊�<i>y</i>=1锛�</p> + <p> + 锛�3锛� + 褰�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紱褰�0锛�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁�. + </p> + </div> </div> </div> <!-- 125 --> <div class="page-box" page="132"> <div v-if="showPageList.indexOf(132) > -1"> - - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -162,7 +2944,51 @@ <p><span>125</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + 鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鍜屾�ц川鍙互鎬荤粨濡傝〃4-3鎵�绀�. + </p> + <p class="img">琛�4-3</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0136-1.jpg" /> + </p> + <p> + <span class="zt-ls"><b>渚�1</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍝簺鏄寚鏁板嚱鏁帮紝骞剁敾鍑哄嚱鏁板浘鍍忛獙璇�. + </p> + <p> + 锛�1锛� <i>y</i>=0.5<i><sup>x</sup></i>锛涳紙2锛� <i>y</i>=2脳3<i><sup>x</sup></i>锛涳紙3锛� <i>y</i>=<i>x</i><sup>2</sup>. + </p> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /> + </p> + </div> + <p class="block"> + 鍑芥暟<i>y</i>=2脳3<i><sup>x</sup></i> + </p> + <p class="block"> + 鍦ㄥ舰寮忎笂涓庢寚鏁板嚱鏁扮浉浼硷紝浣嗕笉绗﹀悎鎸囨暟鍑芥暟鐨勫畾涔夛紝鎴戜滑浠庡叾鍑芥暟鍥惧儚鍙互鐪嬪埌娌℃湁杩囧畾鐐癸紙0锛�1锛�. + </p> + </div> + <p> + <span class="zt-ls"><b>瑙�</b></span> + 渚濇嵁鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>鐨勫畾涔夛紝<i>y</i>=0.5<i><sup>x</sup></i>鏄寚鏁板嚱鏁帮紝<i>y</i>=2脳3<i><sup>x</sup></i>鍜�<i>y</i>=<i>x</i><sup>2</sup>涓嶆槸鎸囨暟鍑芥暟.鐢诲嚭鍑芥暟鍥惧儚锛堝鍥�4-4鎵�绀猴級锛屽嚱鏁�<i>y</i>=0.5<i><sup>x</sup></i>鐨勫浘鍍忕鍚堟寚鏁板嚱鏁板浘鍍忕殑鐗瑰緛锛涘嚱鏁�<i>y</i>=2脳3<i><sup>x</sup></i>鐨勫浘鍍忚櫧涓庢寚鏁板嚱鏁板浘鍍忓緢鐩镐技锛屼絾骞舵病鏈夎繃瀹氱偣锛�0锛�1锛夛紱鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>鐨勫浘鍍忔槸浜屾鍑芥暟鐨勫浘鍍�. + </p> + <p class="center"> + <img class="img-b" alt="" src="../../assets/images/0136-2.jpg" /> + </p> + <p class="img">鍥�4-4</p> + <div class="bk-hzjl"> + <div class="bj1-hzjl"> + <p class="left"> + <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /> + </p> + </div> + <examinations :cardList="questionData[131]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> <!-- 126 --> @@ -173,13 +2999,214 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呯殑鍗曡皟鎬�. + </p> + <p> + 锛�1锛� <i>y</i>=4<i><sup>x</sup></i>锛涳紙2锛� <i>y</i>=3<i><sup>-x</sup></i>锛涳紙3锛� + <math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mi>x</mi> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负4锛�1 锛� 鎵�浠�<i>y</i>=4<i><sup>x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-5鎵�绀猴級. + </p> + <p> + 锛�2锛� + <math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mn>3</mn> + <mrow> + <mo>鈭�</mo> + <mi>x</mi> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>3</mn> + <mrow> + <mo>鈭�</mo> + <mn>1</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>锛屽洜涓�<math display="0"> + <mn>0</mn> + <mo>锛�</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo>锛�</mo> + <mn>1</mn> + </math>锛屾墍浠�<i>y</i>=3<i><sup>-x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁帮紙濡傚浘4-6鎵�绀猴級. + </p> + <p> + 锛�3锛�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mi>x</mi> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>=</mo> + <mo stretchy="false">(</mo> + <mroot> + <mn>2</mn> + <mn>3</mn> + </mroot> + <msup> + <mo stretchy="false">)</mo> + <mrow> + <mi>x</mi> + </mrow> + </msup> + </math>锛屽洜涓�<math display="0"> + <mroot> + <mn>2</mn> + <mn>3</mn> + </mroot> + <mo>锛�</mo> + <mn>1</mn> + </math>锛屾墍浠�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mfrac> + <mi>x</mi> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + </math>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-7鎵�绀猴級. + </p> + <ul class="fl"> + <li> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0137-7.jpg" /> + </p> + <p class="img">鍥�4-5</p> + </li> + <li> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0137-8.jpg" /> + </p> + <p class="img">鍥�4-6</p> + </li> + <li> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0137-9.jpg" /> + </p> + <p class="img">鍥�4-7</p> + </li> + </ul> + <p> + <span class="zt-ls"><b>渚�3</b></span>銆�姣旇緝涓嬪垪鍚勯涓袱涓�肩殑澶у皬. + </p> + <p> + 锛�1锛� 1.8<sup>2.5</sup>涓�1.8<sup>3</sup>锛涳紙2锛� + 0.9<sup>-0.2</sup>涓�0.9<sup>-0.3</sup>. + </p> + <p class="block"> + <span + class="zt-ls2"><b>鍒嗘瀽</b></span>銆�1.8<sup>2.5</sup>鍜�1.8<sup>3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=1.8<i><sup>x</sup></i>鍦�<i>x</i>=2.5鍜�<i>x</i>=3澶勭殑鍑芥暟鍊硷紝杩欐牱灏卞彲浠ュ埄鐢ㄥ嚱鏁扮殑鍗曡皟鎬ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.0.9<sup>-0.2</sup>鍜�0.9<sup>-0.3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=0.9<i><sup>x</sup></i>鍦�<i>x</i>=-0.2鍜�<i>x</i>=-0.3澶勭殑鍑芥暟鍊硷紝鍚屾牱鍙互鍒╃敤鍑芥暟鐨勫崟璋冩�ф潵姣旇緝鍑芥暟鍊肩殑澶у皬. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=1.8<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑澧炲嚱鏁帮紝涓�2.5锛�3锛屾墍浠� + </p> + <p class="center">1.8<sup>2.5</sup>锛�1.8<sup>3</sup>.</p> + <p> + 锛�2锛� 鍥犱负<i>y</i>=0.9<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑鍑忓嚱鏁帮紝涓�-0.2锛�-0.3锛屾墍浠� + </p> + <p class="center">0.9<sup>-0.2</sup>锛�0.9<sup>-0.3</sup>.</p> + <p> + <span class="zt-ls"><b>渚�4</b></span>銆�姹傚嚱鏁�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msqrt> + <msup> + <mn>2</mn> + <mrow> + <mi>x</mi> + </mrow> + </msup> + <mo>鈭�</mo> + <mn>4</mn> + </msqrt> + </math>鐨勫畾涔夊煙. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> + 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻2<i><sup>x</sup></i>-4鈮�0锛屽嵆2<i><sup>x</sup></i>鈮�4锛屽張鍥犱负<i>y</i>=2<i><sup>x</sup></i>鏄鍑芥暟锛屾墍浠�<i>x</i>鈮�2. + </p> + <p>鏁呭嚱鏁扮殑瀹氫箟鍩熶负2锛�+鈭烇級.</p> + </div> </div> </div> <!-- 127 --> <div class="page-box" page="134"> <div v-if="showPageList.indexOf(134) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -189,10 +3216,63 @@ </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + <span + class="zt-ls"><b>渚�5</b></span>銆�宸茬煡鎸囨暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚杩囩偣锛�3锛�27锛�. + </p> + <p> + 锛�1锛� 姹�<i>f</i>锛�-1锛� 鐨勫�硷紱锛�2锛� + 鑻�<i>f</i>锛坢锛夆墺9锛屾眰<i>m</i>鐨勫彇鍊艰寖鍥�. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥惧儚杩囩偣锛�3锛�27锛夛紝鍗�<i>x</i>=3鏃讹紝<i>f</i>锛�3锛�=27. + </p> + <p> + 鐢�27=<i>a</i><sup>3</sup>锛屽緱<i>a</i>=3锛� 鍗�<i>f</i>锛�<i>x</i>锛�=3<i><sup>x</sup></i>. + </p> + <p> + 鎵�浠�<math display="0"> + <mi>f</mi> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mo>鈭�</mo> + <mn>1</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <msup> + <mn>3</mn> + <mrow> + <mo>鈭�</mo> + <mn>1</mn> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </math>. + </p> + <p> + 锛�2锛� + 鍥犱负<i>f</i>锛�<i>m</i>锛�=3<i><sup>m</sup></i>锛屾墍浠ュ緱鍒�3<i><sup>m</sup></i>鈮�9锛屽嵆3<i><sup>m</sup></i>鈮�3<sup>2</sup>. + </p> + <p> + 鍑芥暟<i>y</i>=3<i><sup>x</sup></i>鍦ㄥ畾涔夊煙鍐呮槸澧炲嚱鏁�. + </p> + <p>鍥犳锛�<i>m</i>鈮�2锛屽嵆<i>m</i>鐨勫彇鍊艰寖鍥翠负[2锛�+鈭烇級.</p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[134]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> - <!-- 128 --> <div class="page-box" page="135"> <div v-if="showPageList.indexOf(135) > -1"> @@ -201,15 +3281,18 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - - <div class="padding-116"></div> + <div class="padding-116"> + <h3 id="c039">涔犻4.2<span class="fontsz2">锛烇紴锛�</span></h3> + <div class="bj"> + <examinations :cardList="questionData[135]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> - <!-- 129 --> <div class="page-box" page="136"> <div v-if="showPageList.indexOf(136) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -218,11 +3301,56 @@ <p><span>129</span></p> </li> </ul> - - <div class="padding-116"></div> + <div class="padding-116"> + <h2 id="b024"> + 4.3 瀵规暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <h3 id="c040">4.3.1 瀵规暟鐨勫畾涔�<span class="fontsz2">锛烇紴锛�</span></h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /> + </p> + <p> + 鍦ㄤ笂涓�鑺傗�滆瀵熸�濊�冣�濈殑鎯呭1涓紝鎴戜滑鎻愬埌浜嗐�婂簞瀛惵峰ぉ涓嬬瘒銆嬩腑鐨勨�滀竴灏轰箣妫帮紝鏃ュ彇鍏跺崐锛屼竾涓栦笉绔��.鐜板凡鐭モ�滀竴灏轰箣妫扳�濆墿涓嬪叓鍒嗕箣涓�灏猴紝璇烽棶杩囧幓浜嗗嚑澶╋紵濡傛灉鏄墿涓�<i>N</i>灏哄憿锛� + </p> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /> + </p> + </div> + <p class="block">瀵规暟</p> + <p class="block">搴曟暟</p> + <p class="block">鐪熸暟</p> + <p class="block">鎸囨暟寮�</p> + <p class="block">瀵规暟寮�</p> + <p class="block">甯哥敤瀵规暟</p> + <p class="block">鑷劧瀵规暟</p> + </div> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 涓�鑸湴锛屽鏋�<i>a<sup>x</sup></i>=<i>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝閭d箞鏁�<i>x</i>鍙綔浠�<i>a</i>涓哄簳<i>N</i>鐨�<b>瀵规暟</b>锛岃浣� + </p> + <p class="center"><i>x</i>=log<sub>a</sub><i>N</i>.</p> + <p> + 鍏朵腑<i>a</i>鍙綔瀵规暟鐨�<b>搴曟暟</b>锛堢畝绉板簳锛夛紝<i>N</i>鍙綔<b>鐪熸暟</b>. + </p> + <p> + 渚嬪锛�2<sup>3</sup>=8锛屾墍浠�3灏辨槸浠�2涓哄簳8鐨勫鏁帮紝璁颁綔3=log + <sub>2</sub>8锛涘啀濡傦紝2<i><sup>x</sup></i>=<i>N</i>锛屾墍浠�<i>x</i>鏄互2涓哄簳<i>N</i>鐨勫鏁帮紝璁颁綔<i>x</i>=log + <sub>2</sub><i>N</i>. + </p> + <p> + 寮忓瓙<i>a<sup>b</sup></i>=<i>N</i>鍙綔<b>鎸囨暟寮�</b>锛宭og + <i><sub>a</sub>N</i>=<i>b</i>鍙綔<b>瀵规暟寮�</b>.瀹冧滑鐨勫叧绯诲涓�. + </p> + <p class="center"> + <img class="img-c" alt="" src="../../assets/images/0140-3.jpg" /> + </p> + </div> </div> </div> - <!-- 130 --> <div class="page-box" page="137"> <div v-if="showPageList.indexOf(137) > -1"> @@ -231,14 +3359,224 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + 閫氬父锛屾垜浠妸浠�10涓哄簳鐨勫鏁板彨浣�<b>甯哥敤瀵规暟</b>锛�<i>N</i>鐨勫父鐢ㄥ鏁發og + <sub>10</sub><i>N</i>绠�璁颁綔lg<i>N</i>.渚嬪锛宭og<sub>10</sub>5绠�璁颁綔lg5. + </p> + <p> + 鍙﹀锛屽湪绉戞妧銆佺粡娴庝互鍙婄ぞ浼氱敓娲讳腑缁忓父浣跨敤鏃犵悊鏁癳锛屽畠鐨勫�间负2.718 + 28鈥︼紝浠涓哄簳鐨勫鏁板彨浣�<b>鑷劧瀵规暟</b>.<i>N</i>鐨勮嚜鐒跺鏁發og + <sub>e</sub><i>N</i>绠�璁颁綔ln<i>N</i>.渚嬪锛宭og<sub>e</sub>8绠�璁颁綔ln8. + </p> + <p>鏍规嵁瀵规暟鐨勫畾涔夛紝瀵规暟鏈変互涓嬫�ц川.</p> + <p>锛�1锛� 闆跺拰璐熸暟娌℃湁瀵规暟锛�</p> + <p> + 锛�2锛� log<i><sub>a</sub></i>1=0锛屽嵆1鐨勫鏁颁负0锛� + </p> + <p> + 锛�3锛� log<i><sub>a</sub>a</i>=1锛屽嵆搴曟暟鐨勫鏁颁负1. + </p> + <div class="bk-hzjl"> + <div class="bj1-hzjl"> + <p class="left"> + <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /> + </p> + </div> + <examinations :cardList="questionData[137]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <p> + <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楁寚鏁板紡鍐欐垚瀵规暟寮�. + </p> + <p> + 锛�1锛� 5<sup>4</sup>=625锛涳紙2锛� + <math display="0"> + <msup> + <mn>8</mn> + <mrow> + <mfrac> + <mn>4</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mn>16</mn> + </math>锛涳紙3锛� 10<sup>-2</sup>=0.01. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>625=4锛涳紙2锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mn>8</mn> + </mrow> + </msub> + <mn>16</mn> + <mo>=</mo> + <mfrac> + <mn>4</mn> + <mn>3</mn> + </mfrac> + </math>锛涳紙3锛� lg0.01=-2. + </p> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀鏁板紡鍐欐垚鎸囨暟寮�. + </p> + <p> + 锛�1锛� log<sub>3</sub>243=5锛涳紙2锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msub> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + <mo>=</mo> + <mn>3</mn> + </math>锛涳紙3锛� <i>ln</i>1=0. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 3<sup>5</sup>=243锛涳紙2锛� + <math display="0"> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + </math>锛涳紙3锛� <i>e</i><sup>0</sup>=1. + </p> + <p> + <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忎腑<i>N</i>鐨勫��. + </p> + <p> + 锛�1锛� lg<i>N</i>=-3锛涳紙2锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mn>8</mn> + </mrow> + </msub> + <mi mathvariant="bold">N</mi> + <mo>=</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑g<i>N</i>=-3锛屽緱<i>N</i>=10<sup>-3</sup>=0.001锛� + </p> + <p> + 锛�2锛� 鐢�<math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mn>8</mn> + </mrow> + </msub> + <mi mathvariant="bold">N</mi> + <mo>=</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </math>锛屽緱<math display="0"> + <mi mathvariant="bold">N</mi> + <mo>=</mo> + <msup> + <mn>8</mn> + <mrow> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>=</mo> + <mn>4</mn> + </math>. + </p> + <p> + <span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒楀悇寮忎腑<i>x</i>鐨勫��. + </p> + <p> + 锛�1锛� log <sub>2</sub>8=<i>x</i>锛涳紙2锛� log + <sub>4</sub>4<sup>5</sup>=<i>x</i>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑og + <sub>2</sub>8=<i>x</i>锛屽緱2<i><sup>x</sup></i>=8锛屽嵆2<i><sup>x</sup></i>=2<sup>3</sup>锛屾墍浠�<i>x</i>=3锛� + </p> + <p> + 锛�2锛� 鐢眑og <sub>4</sub>4<sup>5</sup>=<i>x</i>锛屽緱4<i><sup>x</sup></i>=4<sup>5</sup>锛屾墍浠�<i>x</i>=5. + </p> + <p> + <span class="zt-ls"><b>渚�5</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�. + </p> + <p> + 锛�1锛� log<sub>5</sub>1锛涳紙2锛� log<sub>7</sub>7锛涳紙3锛� lg 10锛涳紙4锛� + ln e. + </p> + <p> + <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╃敤鎬ц川鈥�1鐨勫鏁颁负0鈥濆拰鈥滃簳鏁扮殑瀵规暟涓�1鈥� 鐩存帴寰楃瓟妗堬紝涓嶅繀杞寲鎴愭寚 + </p> + </div> </div> </div> - <!-- 131 --> <div class="page-box" page="138"> <div v-if="showPageList.indexOf(138) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -247,26 +3585,511 @@ <p><span>131</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p>鏁板紡.</p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>1=0锛涳紙2锛� log<sub>7</sub>7=1锛� + </p> + <p>锛�3锛� lg10=log<sub>10</sub>10=1锛涳紙4锛� ln e=log<sub>e</sub>e=1.</p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[138]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <h3 id="c041"> + 4.3.2 瀵规暟鐨勮繍绠楁�ц川<span class="fontsz2">锛烇紴锛�</span> + </h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /> + </p> + <p> + 鍒╃敤瀵规暟寮忎笌鎸囨暟寮忕殑鍏崇郴锛屽~鍐欒〃4-4锛岀寽鎯冲鏁扮殑杩愮畻鎬ц川锛屽苟涓庡悓瀛︿氦娴�. + </p> + <p class="img">琛�4-4</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0142-8.jpg" /> + </p> + </div> </div> </div> - <!-- 132 --> <div class="page-box" page="139"> <div v-if="showPageList.indexOf(139) > -1"> - <ul class="page-header-odd fl al-end"> <li>132</li> <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p>鎴戜滑鍙互寰楀埌涓や釜姝f暟鐨勭Н銆佸晢銆佸箓鐨勫鏁拌繍绠楁�ц川.</p> + <p> + 锛�1锛� + 绉殑瀵规暟锛�<b>涓や釜姝f暟绉殑瀵规暟锛岀瓑浜庡悓涓�搴曟暟鐨勮繖涓や釜鏁扮殑瀵规暟鐨勫拰</b>锛屽嵆 + </p> + <p class="center"> + log<i><sub>a</sub></i>锛�<i>MN</i>锛�=log<i><sub>a</sub>M</i>+log + <i><sub>a</sub>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�. + </p> + <p> + <b>璇佹槑</b> 璁緇og<i><sub>a</sub>M</i>=<i>p</i>锛宭og<i><sub>a</sub>N</i>=<i>q</i>锛� + </p> + <p> + 鏍规嵁瀵规暟鐨勫畾涔夛紝寰�<i>M</i>=<i>a<sup>p</sup></i>锛�<i>N</i>=<i>a<sup>q</sup></i>锛� + </p> + <p> + 鎵�浠� <i>MN</i>=<i>a<sup>p</sup> a<sup>q</sup></i>=<i>a<sup>p+q</sup></i>. + </p> + <p>鎶婃寚鏁板紡鍖栦负瀵规暟寮忥紝寰�</p> + <p class="center"> + log<i><sub>a</sub></i>锛�<i>MN</i>锛�=<i>p</i>+<i>q</i>=log<i><sub>a</sub>M</i>+log<i><sub>a</sub>N</i>. + </p> + <p> + 锛�2锛� + 鍟嗙殑瀵规暟锛�<b>涓や釜姝f暟鍟嗙殑瀵规暟锛岀瓑浜庡悓涓�搴曟暟鐨勮闄ゆ暟鐨勫鏁板噺鍘婚櫎鏁扮殑瀵规暟锛�</b>鍗� + </p> + <math display="block"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <mi>M</mi> + <mi mathvariant="bold">N</mi> + </mfrac> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>M</mi> + <mo>鈭�</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi mathvariant="bold">N</mi> + <mo stretchy="false">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mtext>, 涓� </mtext> + <mi>a</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo stretchy="false">)</mo> + <mtext>. </mtext> + </math> + <p> + 锛�3锛� + 骞傜殑瀵规暟锛�<b>涓�涓鏁板箓鐨勫鏁帮紝绛変簬骞傛寚鏁颁箻杩欎釜鏁扮殑瀵规暟锛�</b>鍗� + </p> + <p class="center"> + log<i><sub>a</sub>M<sup>q</sup></i>=<i>q</i>log + <i><sub>a</sub>M</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>q</i>鈭�<b>R</b>锛�. + </p> + <p> + 鐗瑰埆鍦帮紝log<i><sub>a</sub>a<sup>b</sup></i>=<i>b</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�. + </p> + <div class="bk-hzjl"> + <div class="bj1-hzjl"> + <p class="left"> + <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /> + </p> + </div> + <examinations :cardList="questionData[139]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <p> + <span + class="zt-ls"><b>渚�1</b></span>銆�鐢╨og<i><sub>a</sub>x</i>锛宭og<i><sub>a</sub>y</i>锛宭og<i><sub>a</sub>z</i>琛ㄧず涓嬪垪鍚勫紡锛堝紡涓瓧姣嶅潎涓烘瀹炴暟涓�<i>a</i>鈮�1锛�. + </p> + <p> + 锛�1锛� log<i><sub>a</sub></i>锛�<i>x</i><sup>2</sup><i>yz</i><sup>3</sup>锛夛紱锛�2锛�<math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <msup> + <mi>x</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mrow> + <mi>y</mi> + <mi>z</mi> + </mrow> + </mfrac> + </math>锛涳紙3锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <msqrt> + <mi>x</mi> + </msqrt> + <mrow> + <msup> + <mi>y</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mi>z</mi> + </mrow> + </mfrac> + </math>. + </p> + <p class="block"> + <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╃敤瀵规暟杩愮畻鎬ц川杩涜鍖栫畝杩愮畻. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�1锛�</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mi>x</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mi>y</mi> + <msup> + <mi>z</mi> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mi>x</mi> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo>+</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>y</mi> + <mo>+</mo> + <msub> + <mi>log</mi> + <mrow> + 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</msup> + <mi>z</mi> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + <mo>鈭�</mo> + <mn>2</mn> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>y</mi> + <mo>鈭�</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>z</mi> + <mo>.</mo> + </math> + </p> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�璁$畻. + </p> + <p> + 锛�1锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mn>5</mn> + </mrow> + </msub> + <mroot> + <mn>25</mn> + <mn>3</mn> + </mroot> + </math>锛涳紙2锛� log <sub>3</sub>锛�9<sup>3</sup>脳3<sup>5</sup>锛夛紱锛�3锛� log + <sub>7</sub>56-log<sub>7</sub>8. + </p> + </div> </div> </div> <!-- 133 --> <div class="page-box" page="140"> <div v-if="showPageList.indexOf(140) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -276,10 +4099,424 @@ </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + <span class="zt-ls"><b>瑙�</b></span> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�1锛�</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>5</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mroot> + <mn>25</mn> + <mn>3</mn> + </mroot> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>5</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mroot> + <msup> + <mn>5</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mn>3</mn> + </mroot> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>5</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>5</mn> + <mrow> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + <msub> + <mi>log</mi> + <mrow> + <mn>5</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>5</mn> + <mo>=</mo> + <mfrac> + <mn>2</mn> + <mn>3</mn> + </mfrac> + <mo>;</mo> + </math> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�2锛�</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>9</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo>脳</mo> + <msup> + <mn>3</mn> + <mrow> + <mn>5</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>9</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + <mo>+</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>3</mn> + <mrow> + <mn>5</mn> + </mrow> + </msup> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>3</mn> + <mrow> + <mn>6</mn> + </mrow> + </msup> + <mo>+</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>3</mn> + <mrow> + <mn>5</mn> + </mrow> + </msup> + <mo>=</mo> + <mn>6</mn> + <mo>+</mo> + <mn>5</mn> + <mo>=</mo> + <mn>11</mn> + <mo>;</mo> + </math> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�3锛�</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>7</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>56</mn> + <mo>鈭�</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>7</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>8</mn> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>7</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <mn>56</mn> + <mn>8</mn> + </mfrac> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>7</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + <mo>=</mo> + <mn>1</mn> + <mo>.</mo> + </math> + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[140]" :hideCollect="true" sourceType="json" inputBc="#d3edfa" v-if="questionData"> + </examinations> + </div> + <h3 id="c042"> + 4.3.3锛堥�夊锛夋崲搴曞叕寮忋�佸鏁版亽绛夊紡<span class="fontsz2">锛烇紴锛�</span> + </h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /> + </p> + <p> + 璁緇og<i><sub>a</sub>N</i>=<i>x</i>锛屽垯<i>a<sup>x</sup></i>=<i>N</i>锛屼袱杈瑰彇浠�<i>c</i>涓哄簳鐨勫鏁帮紝寰條og<i><sub>c</sub>a<sup>x</sup></i>=log<i><sub>c</sub>N</i>锛屼簬鏄�<i>x</i>log<i><sub>c</sub>a</i>=log<i><sub>c</sub>N</i>锛屽嵆<math + display="0"> + <mi>x</mi> + <mo>=</mo> + <mfrac> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + </math>锛屾墍浠�<math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi mathvariant="bold">N</mi> + <mo>=</mo> + <mfrac> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + </math>. + </p> + <p>浜庢槸锛屾垜浠湁<b>瀵规暟鐨勬崲搴曞叕寮忥細</b></p> + <math display="block"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + <mo>=</mo> + <mfrac> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + <mo stretchy="false">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mo>,</mo> + <mtext> 涓� </mtext> + <mi>a</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo>;</mo> + <mi>c</mi> + <mo>></mo> + <mn>0</mn> + <mtext>, 涓� </mtext> + <mi>c</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo stretchy="false">)</mo> + <mtext>. </mtext> + </math> + <p>鐗瑰埆鍦帮紝</p> + <math display="block"> + <mtable columnalign="left" columnspacing="1em" rowspacing="4pt"> + <mtr> + <mtd> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + <mo>=</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + <mo stretchy="false">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mo>,</mo> + <mtext> 涓� </mtext> + <mi>a</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo stretchy="false">)</mo> + <mo>;</mo> + </mtd> + </mtr> + <mtr> + <mtd> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + <mo>=</mo> + <mfrac> + <mrow> + <mi>ln</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + <mrow> + <mi>ln</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + <mo stretchy="false">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mo>,</mo> + <mtext> 涓� </mtext> + <mi>a</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo stretchy="false">)</mo> + <mo>.</mo> + </mtd> + </mtr> + </mtable> + </math> + </div> </div> </div> - <!-- 134 --> <div class="page-box" page="141"> <div v-if="showPageList.indexOf(141) > -1"> @@ -288,14 +4525,524 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + <span class="zt-ls"><b>渚�1</b></span>銆�姹俵og<sub>27</sub>8路log <sub>32</sub>9鐨勫��. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> + </p> + <math display="block"> + <mtable displaystyle="true" columnalign="right left right left right left right left right left right left" + columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt"> + <mtr> + <mtd> + <msub> + <mi>log</mi> + <mrow> + <mn>27</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>8</mn> + <mo>鈰�</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>32</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>9</mn> + </mtd> + <mtd> + <mi></mi> + <mo>=</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>8</mn> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>27</mn> + </mrow> + </mfrac> + <mo>鈰�</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>9</mn> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>32</mn> + </mrow> + </mfrac> + <mo>=</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>3</mn> + <mrow> + <mn>3</mn> + </mrow> + </msup> + </mrow> + </mfrac> + <mo>鈰�</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>3</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>5</mn> + </mrow> + </msup> + </mrow> + </mfrac> + </mtd> + </mtr> + <mtr> + <mtd></mtd> + <mtd> + <mi></mi> + <mo>=</mo> + <mfrac> + <mrow> + <mn>3</mn> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>2</mn> + </mrow> + <mrow> + <mn>3</mn> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>3</mn> + </mrow> + </mfrac> + <mo>鈰�</mo> + <mfrac> + <mrow> + <mn>2</mn> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>3</mn> + </mrow> + <mrow> + <mn>5</mn> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>2</mn> + </mrow> + </mfrac> + <mo>=</mo> + <mfrac> + <mn>2</mn> + <mn>5</mn> + </mfrac> + <mo>.</mo> + </mtd> + </mtr> + </mtable> + </math> + <p> + <span + class="zt-ls"><b>渚�2</b></span>銆�姹傝瘉锛歭og<i><sub>a</sub>b</i>路log<i><sub>b</sub>c</i>路log<i><sub>c</sub>a</i>=1锛�<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负姝e疄鏁帮紝涓斿潎涓嶇瓑浜�1锛�. + </p> + <p> + <b>璇佹槑</b> + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + <mo>鈰�</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>b</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>c</mi> + <mo>鈰�</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + <mo>=</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + <mo>鈰�</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>c</mi> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + </mfrac> + <mo>鈰�</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>c</mi> + </mrow> + </mfrac> + <mo>=</mo> + <mn>1</mn> + </math>. + </p> + <p>璁�</p> + <math display="block"> + <msup> + <mi>a</mi> + <mrow> + <mi>b</mi> + </mrow> + </msup> + <mo>=</mo> + <mi mathvariant="bold">N</mi> + <mo stretchy="false">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mtext>, 涓� </mtext> + <mi>a</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo stretchy="false">)</mo> + <mtext>, </mtext> + </math> + <p class="right">鈶�</p> + <p>鐢卞鏁板畾涔夊緱</p> + <math display="block"> + <mi>b</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mi mathvariant="bold">N</mi> + <mo>锛�</mo> + </math> + <p class="right">鈶�</p> + <p>鎶娾憽浠e叆鈶犱腑锛屽緱</p> + <math display="block"> + <msup> + <mi>a</mi> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi mathvariant="bold">N</mi> + </mrow> + </msup> + <mo>=</mo> + <mi mathvariant="bold">N</mi> + <mo stretchy="false">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mtext>, 涓� </mtext> + <mi>a</mi> + <mo>鈮�</mo> + <mn>1</mn> + <mo stretchy="false">)</mo> + <mtext>. </mtext> + </math> + <p>杩欎釜寮忓瓙鍙�<b>瀵规暟鎭掔瓑寮�</b>.</p> + <p> + <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�. + </p> + <p> + 锛�1锛� + <math display="0"> + <msup> + <mn>2</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mn>7</mn> + </mrow> + </msup> + </math>锛涳紙2锛� + <math display="0"> + <msup> + <mn>4</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mn>7</mn> + </mrow> + </msup> + </math>锛涳紙3锛� + <math display="0"> + <msup> + <mn>2</mn> + <mrow> + <mn>1</mn> + <mo>+</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mn>7</mn> + </mrow> + </msup> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�1锛�</mo> + <msup> + <mn>2</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + </mrow> + </msup> + <mo>=</mo> + <mn>7</mn> + <mo>;</mo> + </math> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�2锛�</mo> + <msup> + <mn>4</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>2</mn> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>7</mn> + <mrow> + <mn>2</mn> + </mrow> + </msup> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>49</mn> + </mrow> + </msup> + <mo>=</mo> + <mn>49</mn> + <mo>;</mo> + </math> + </p> + <p class="left1"> + <math display=""> + <mo stretchy="false">锛�3锛�</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>1</mn> + <mo>+</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + </mrow> + </msup> + <mo>=</mo> + <msup> + <mn>2</mn> + <mrow> + <mn>1</mn> + </mrow> + </msup> + <mo>脳</mo> + <msup> + <mn>2</mn> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mn>2</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mn>7</mn> + </mrow> + </msup> + <mo>=</mo> + <mn>2</mn> + <mo>脳</mo> + <mn>7</mn> + <mo>=</mo> + <mn>14</mn> + <mo>.</mo> + </math> + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[141]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> - <!-- 135 --> <div class="page-box" page="142"> <div v-if="showPageList.indexOf(142) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -304,10 +5051,28 @@ <p><span>135</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h3 id="c043">涔犻4.3<span class="fontsz2">锛烇紴锛�</span></h3> + <div class="bj"> + <examinations :cardList="questionData[142]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <h2 id="b025"> + 4.4 瀵规暟鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <h3 id="c044"> + 4.4.1 瀵规暟鍑芥暟鐨勫畾涔�<span class="fontsz2">锛烇紴锛�</span> + </h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /> + </p> + <p> + 鍦ㄧ浜岃妭鈥滆瀵熸�濊�冣�濈殑鎯呭2涓紝缁嗚優鐢�1涓垎瑁備负2涓紝2涓垎瑁備负4涓�︹�﹀鏋滃凡鐭ュ垎瑁�<i>x</i>娆″悗瀵瑰簲缁嗚優鏁伴噺鏄�1 + 024涓紝閭d箞濡備綍姹傚垎瑁傜殑娆℃暟<i>x</i>鍛紵 + </p> + </div> </div> </div> - <!-- 136 --> <div class="page-box" page="143"> <div v-if="showPageList.indexOf(143) > -1"> @@ -317,14 +5082,159 @@ <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /> + </p> + <p> + 璁�1涓粏鑳炵粡杩�<i>y</i>娆″垎瑁傚悗寰楀埌<i>x</i>涓粏鑳烇紝鍒�<i>x</i>涓�<i>y</i>鐨勫嚱鏁板叧绯诲紡涓�<i>x</i>=2<i><sup>y</sup></i>锛屽皢姝ゆ寚鏁板紡鍐欎负瀵规暟寮忥紝寰楀埌 + </p> + <p class="center"><i>y</i>=log<sub>2</sub><i>x</i>.</p> + <p>杩欎釜寮忓瓙灏辨槸鐢ㄥ垎瑁傚悗鐨勭粏鑳炴暟閲�<i>x</i>鏉ヨ〃绀哄垎瑁傜殑娆℃暟<i>y</i>.</p> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /> + </p> + </div> + <p class="block">瀵规暟鍑芥暟</p> + </div> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 閫氳繃鎸囨暟涓庡鏁扮殑鍏崇郴鎴戜滑瑙傚療鍒帮細<i>y</i>=log<sub>2</sub><i>x</i>鏄竴涓嚱鏁帮紝鍏惰嚜鍙橀噺<i>x</i>浣嶄簬鐪熸暟浣嶇疆锛屽簳鏁版槸甯告暟.绫绘瘮鎸囨暟鍑芥暟瀹氫箟鐨勫涔犺繃绋嬶紝鎴戜滑鍙互鐢ㄥ瓧姣�<i>a</i>浠f浛搴曟暟2锛屽嵆鏈�<i>y</i>=log<sub>a</sub><i>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夎繖绫荤壒寰佺殑鍑芥暟. + </p> + <p> + 涓�鑸湴锛屽舰濡�<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙綔<b>瀵规暟鍑芥暟</b>锛屽叾涓�<i>x</i>鏄嚜鍙橀噺锛屽嚱鏁扮殑瀹氫箟鍩熶负锛�0锛�+鈭烇級. + </p> + <p> + 渚嬪锛�<i>y</i>=log<sub>2</sub><i>x</i>锛�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>锛�<i>y</i>=lg <i>x</i>锛�<i>y</i>=ln <i>x</i>閮芥槸瀵规暟鍑芥暟. + </p> + <div class="bk"> + <div class="bj1"> + <p class="left"> + <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /> + </p> + </div> + <p class="block"> + 1.瀵规暟鍑芥暟涓庢寚鏁板嚱鏁扮殑搴曟暟<i>a</i>鐨勫彇鍊艰寖鍥翠繚鎸佷竴鑷�. + </p> + <p class="block">2.鐢变簬瀵规暟鐨�</p> + <p class="block"> + 鐪熸暟鐨勫彇鍊艰寖鍥翠负锛�0锛�+鈭烇級锛屾墍浠ュ鏁板嚱鏁拌嚜鍙橀噺<i>x</i>鐨勫彇鍊艰寖鍥翠负锛�0锛�+鈭烇級. + </p> + </div> + <p> + <span + class="zt-ls"><b>渚�1</b></span>銆�宸茬煡瀵规暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�9锛�= + 2锛屾眰<i>f</i>锛�3锛夛紝<i>f</i>锛�1锛夛紝<math display="0"> + <mi>f</mi> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>鐨勫��. + </p> + <p class="block"> + <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛鏍规嵁鏉′欢纭畾搴曟暟<i>a</i>锛岀劧鍚庡啀璁$畻瀵瑰簲鍑芥暟鍊�. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<i>f</i>锛�9锛�=2锛屽緱2=log<i><sub>a</sub></i>9. + </p> + <p>浜庢槸<i>a</i><sup>2</sup>=9锛屽緱<i>a</i>=3锛�</p> + <p>鍑芥暟瑙f瀽寮忎负<i>f</i>锛�<i>x</i>锛�=log<sub>3</sub><i>x</i>.</p> + <p> + 鎵�浠�<i>f</i>锛�3锛�=log<sub>3</sub>3=1锛� + <i>f</i>锛�1锛�=log<sub>3</sub>1=0锛� + </p> + <p> + <math display="0"> + <mi>f</mi> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <mn>1</mn> + <mn>27</mn> + </mfrac> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mn>3</mn> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <msup> + <mn>3</mn> + <mrow> + <mo>鈭�</mo> + <mn>3</mn> + </mrow> + </msup> + <mo>=</mo> + <mo>鈭�</mo> + <mn>3</mn> + </math>. + </p> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�. + </p> + <p> + 锛�1锛� <i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夛紱锛�2锛� + <i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛�. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻<i>x</i>-3锛�0锛岃В寰�<i>x</i>锛�3. + </p> + <p> + 鎵�浠ワ紝<i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夌殑瀹氫箟鍩熸槸锛�3锛�+鈭烇級. + </p> + <p> + 锛�2锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻4-<i>x</i><sup>2</sup>锛�0锛岃В寰� + -2锛�<i>x</i>锛�2. + </p> + <p> + 鎵�浠ワ紝<i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛夌殑瀹氫箟鍩熸槸锛�-2锛�2锛�. + </p> + </div> </div> </div> - <!-- 137 --> <div class="page-box" page="144"> <div v-if="showPageList.indexOf(144) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -334,27 +5244,165 @@ </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[144]" :hideCollect="true" sourceType="json" inputBc="#d3edfa" v-if="questionData"> + </examinations> + </div> + <h3 id="c045"> + 4.4.2 瀵规暟鍑芥暟鐨勫浘鍍忎笌鎬ц川<span class="fontsz2">锛烇紴锛�</span> + </h3> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /> + </p> + <p> + 涓庣爺绌舵寚鏁板嚱鏁扮殑鍥惧儚鍜屾�ц川涓�鏍凤紝鎴戜滑棣栧厛閫氳繃鎻忕偣娉曠敾鍑哄鏁板嚱鏁扮殑鍥惧儚锛岀劧鍚庡綊绾虫�荤粨鍑芥暟鐨勭浉鍏虫�ц川.涓嬮潰鎴戜滑浠�<i>y</i>=log<sub>2</sub><i>x</i>鍜�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>涓轰緥鐢诲嚭瀵规暟鍑芥暟鐨勫浘鍍忥紝閫氳繃瑙傚療鍏跺浘鍍忕壒寰侊紝褰掔撼鍑哄鏁板嚱鏁扮殑鎬ц川. + </p> + <p>绗竴姝ワ細璁$畻閮ㄥ垎鏁板�煎苟鍒楄〃锛堝琛�4-5鎵�绀猴級.</p> + <p class="img">琛�4-5</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0148-3.jpg" /> + </p> + <p> + 绗簩姝ワ細鎻忕偣锛屽苟鐢ㄥ厜婊戠殑鏇茬嚎杩炴帴鎵�鎻忕殑鐐癸紝鐢诲嚭瀹冧滑鐨勫浘鍍忥紝濡傚浘4-8鎵�绀�. + </p> + <p> + 鍒╃敤鐩稿悓鏂规硶锛屾垜浠繕鍙互鍦ㄥ悓涓�骞抽潰鐩磋鍧愭爣绯讳腑鐢诲嚭<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>3</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>锛�<i>y</i>=log <sub>2</sub><i>x</i>锛�<i>y</i>=log <sub>0.08</sub><i>x</i>锛�<i>y</i>=log + <sub>4.5</sub><i>x</i>锛�<i>y</i>=log + <sub>0.6</sub><i>x</i>锛�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>鐨勫浘鍍忥紝濡傚浘4-9鎵�绀�. + </p> + </div> </div> </div> - <!-- 138 --> <div class="page-box" page="145"> <div v-if="showPageList.indexOf(145) > -1"> - <ul class="page-header-odd fl al-end"> <li>138</li> <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="center"> + <img class="img-b" alt="" src="../../assets/images/0149-1.jpg" /> + </p> + <p class="img">鍥�4-8</p> + <p class="center"> + <img class="img-d" alt="" src="../../assets/images/0149-2.jpg" /> + </p> + <p class="img">鍥�4-9</p> + <p><b>绫绘瘮褰掔撼</b></p> + <p> + 绫绘瘮鎸囨暟鍑芥暟鍥惧儚鐗瑰緛鐨勮瀵熸柟娉曪紝瑙傚療瀵规暟鍑芥暟鐨勫浘鍍忥紝鎻忚堪瀹冧滑鐨勫浘鍍忓湪浣嶇疆銆佸叕鍏辩偣鍜屽彉鍖栬秼鍔跨瓑鏂归潰鐨勫叡鎬х壒寰�. + </p> + <p> + 锛�1锛� + 鍥句腑鎵�鏈夊鏁板嚱鏁扮殑鍥惧儚鍧囧湪<i>y</i>杞寸殑鍙充晶锛�<b>浣嶇疆鐗瑰緛</b>锛夛紱 + </p> + <p> + 锛�2锛� + 鍥句腑鎵�鏈夊鏁板嚱鏁扮殑鍥惧儚閮界粡杩囧畾鐐癸紙1锛�0锛夛紙<b>鍏叡鐐圭壒寰�</b>锛夛紱 + </p> + <p> + 锛�3锛� 鍦ㄥ畾涔夊煙鍐咃紝瀵规暟鍑芥暟<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>3</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>锛�<i>y</i>=log <sub>2</sub><i>x</i>锛�<i>y</i>=log + <sub>4.5</sub><i>x</i>鍥惧儚浠庡乏鍒板彸鍒嗗埆閫愭笎涓婂崌锛屽湪绗洓璞¢檺鍐呭悜涓嬩笌<i>y</i>杞存棤闄愭帴杩戯紱瀵规暟鍑芥暟<i>y</i>=log + <sub>0.08</sub><i>x</i>锛�<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>1</mn> + <mn>2</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>锛�<i>y</i>=log <sub>0.6</sub><i>x</i>鍥惧儚浠庡乏鍒板彸鍒嗗埆閫愭笎涓嬮檷锛屽湪绗竴璞¢檺鍐呭悜涓婁笌<i>y</i>杞存棤闄愭帴杩戯紙<b>鍙樺寲瓒嬪娍鐗瑰緛</b>锛�. + </p> + <p> + 绫绘瘮鎸囨暟鍑芥暟鐨勫浘鍍忥紝瀵规暟鍑芥暟<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鎸夊簳鏁�<i>a</i>鐨勫彇鍊硷紝鍙垎涓�0锛�<i>a</i>锛�1鍜�<i>a</i>锛�1涓ょ绫诲瀷锛屾垜浠粠鎸囨暟寮忎笌瀵规暟寮忕殑鍏崇郴涔熷彲鍙戠幇. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> + </p> + <p> + 涓�鑸湴锛屽鏁板嚱鏁�<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夊叿鏈変笅鍒楁�ц川. + </p> + <p>锛�1锛� 鍑芥暟鐨勫畾涔夊煙涓猴紙0锛�+鈭烇級锛屽�煎煙涓�<b>R</b>锛�</p> + <p>锛�2锛� 褰�<i>x</i>=1鏃讹紝鍑芥暟鍊�<i>y</i>=0锛�</p> + <p> + 锛�3锛� + 褰�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙0锛�+鈭烇級鍐呮槸澧炲嚱鏁帮紱褰�0锛�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙0锛�+鈭烇級鍐呮槸鍑忓嚱鏁�. + </p> + <p>瀵规暟鍑芥暟鐨勫浘鍍忓拰鎬ц川鍙互鎬荤粨濡傝〃4-6鎵�绀�.</p> + </div> </div> </div> - <!-- 139 --> <div class="page-box" page="146"> <div v-if="showPageList.indexOf(146) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -363,10 +5411,46 @@ <p><span>139</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="img">琛�4-6</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0150-1.jpg" /> + </p> + <div class="bk-hzjl"> + <div class="bj1-hzjl"> + <p class="left"> + <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /> + </p> + </div> + <examinations :cardList="questionData[146]" :hideCollect="true" sourceType="json" + v-if="questionData" ></examinations> + </div> + <p> + <span class="zt-ls"><b>渚�1</b></span>銆�姣旇緝涓嬪垪鍚勭粍鏁颁腑涓や釜鍊肩殑澶у皬. + </p> + <p> + 锛�1锛� log<sub>2</sub>5.3 涓巐og<sub>2</sub>4.7锛涳紙2锛� log + <sub>0.2</sub>7涓巐og <sub>0.2</sub>9锛� + </p> + <p> + 锛�3锛� log<sub>5</sub>4涓�1锛涳紙4锛塴og<sub>3</sub>4涓巐og + <sub>0.3</sub>4. + </p> + <p class="block"> + <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鑻ヤ袱涓鏁扮殑搴曟暟鐩稿悓锛屽彲鍒╃敤瀵规暟鍑芥暟鐨勫崟璋冩�х洿鎺ユ瘮杈冿紱鑻ュ簳鏁颁笉鍚岋紝鍙噰鐢ㄥ厛涓庝腑闂撮噺锛堥�氬父鏄�0鎴�1锛夎繘琛屾瘮杈冿紝鍐嶅埄鐢ㄤ笉绛夊紡浼犻�掓�у緱鍑虹粨璁�. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� + 鍥犱负搴曟暟2锛�1锛屾墍浠�<i>y</i>=log<sub>2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-10鎵�绀�. + </p> + <p>鍙堝洜涓�5.3锛�4.7锛屾墍浠og<sub>2</sub>5.3锛瀕og<sub>2</sub>4.7.</p> + <p> + 锛�2锛� 鍥犱负搴曟暟0锛�0.2锛�1锛屾墍浠�<i>y</i>=log <sub>0.2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-11鎵�绀�. + </p> + <p>鍙堝洜涓�7锛�9锛屾墍浠og <sub>0.2</sub>7锛瀕og <sub>0.2</sub>9.</p> + </div> </div> </div> - <!-- 140 --> <div class="page-box" page="147"> <div v-if="showPageList.indexOf(147) > -1"> @@ -375,43 +5459,202 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + 锛�3锛� log<sub>5</sub>4锛渓og<sub>5</sub>5=1锛屽嵆log<sub>5</sub>4锛�1. + </p> + <ul class="fl"> + <li> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0151-1.jpg" /> + </p> + <p class="img">鍥�4-10</p> + </li> + <li> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0151-2.jpg" /> + </p> + <p class="img">鍥�4-11</p> + </li> + </ul> + <p> + 锛�4锛� 鍥犱负 log<sub>3</sub>4锛瀕og<sub>3</sub>1=0锛宭og + <sub>0.3</sub>4锛渓og <sub>0.3</sub>1=0锛屾墍浠� log<sub>3</sub>4锛瀕og + <sub>0.3</sub>4. + </p> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�瑙d笅鍒椾笉绛夊紡. + </p> + <p> + 锛�1锛塴og <sub>4</sub><i>x</i>锛渓og<sub>4</sub>5锛涳紙2锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + <mo>锛�</mo> + <mn>1</mn> + </math>. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=log + 4<i>x</i>鍦紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鎵�浠�<i>x</i>锛�5. + </p> + <p>鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�0锛�<i>x</i>锛�5.</p> + <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�5锛�.</p> + <p> + 锛�2锛� + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + <mo>锛�</mo> + <mn>1</mn> + </math>锛屽嵆<math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + <mo>></mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </math>. + </p> + <p> + 鍥犱负<math display="0"> + <mi>y</mi> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + </math>鍦紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0"> + <mi>x</mi> + <mo>锛�</mo> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </math>. + </p> + <p> + 鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�<math display="0"> + <mn>0</mn> + <mo>锛�</mo> + <mi>x</mi> + <mo>锛�</mo> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + </math>. + </p> + <p> + 鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�<math display="0"> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mn>0</mn> + <mo>锛�</mo> + <mfrac> + <mn>4</mn> + <mn>5</mn> + </mfrac> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>锛�. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[147]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> - <!-- 141 --> <div class="page-box" page="148"> <div v-if="showPageList.indexOf(148) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> </li> <li> - <p><span>141</span></p> + <p><span>141-142</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h3 id="c046">涔犻4.4<span class="fontsz2">锛烇紴锛�</span></h3> + <div class="bj"> + <examinations :cardList="questionData[148]" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + <h2 id="b026"> + 4.5 鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <p> + 鎴戜滑瀛︿範鐨勫熀鏈垵绛夊嚱鏁帮紝鍙互鎻忚堪銆佸埢鐢诲瑙備笘鐣屼腑鏌愪竴绫讳簨鐗╄繍鍔ㄥ彉鍖栫殑瑙勫緥.渚嬪锛岀敤涓�娆″嚱鏁版ā鍨嬪彲浠ユ弿杩扮敓娲讳腑鐨勨�滅嚎鎬у闀库�濓紙鐩寸嚎澧為暱锛夌幇璞�.鍒╃敤鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑鐩稿叧鐭ヨ瘑寤虹珛鍑芥暟妯″瀷锛屽彲浠ユ弿杩般�佸埢鐢荤瀛︿笌鎶�鏈�佺粡娴庝笌绀句細銆佺敓浜т笌鐢熸椿涓殑鈥滄寚鏁板闀库�濆拰鈥滃鏁板闀库�濈幇璞�. + </p> + <p> + <span + class="zt-ls"><b>渚�1</b></span>銆�寮�灞曚汉鍙f櫘鏌ワ紝瀵逛簬璋冩暣銆佸畬鍠勪汉鍙f斂绛栵紝鎺ㄥ姩浜哄彛缁撴瀯浼樺寲锛屼績杩涗汉鍙g礌璐ㄦ彁鍗囧叿鏈夐噸瑕佹剰涔�.绗竷娆″叏鍥戒汉鍙f櫘鏌ョ粨鏋滄樉绀猴紝2020骞村勾鏈叏鍥藉ぇ闄嗘�讳汉鍙d负141 + 178涓囦汉锛屽叾涓煄闀囧父浣忎汉鍙�90 + 199涓囦汉锛屽崰鎬讳汉鍙g殑姣斾緥锛堝父浣忎汉鍙e煄闀囧寲鐜囷級涓�63.89%锛屼笌2010骞寸浉姣旓紝鎻愰珮浜�14.21涓櫨鍒嗙偣. + </p> + <p> + 锛�1锛� 鍋囪姝ゅ悗姣忓勾閮藉鍔�700涓囦汉鍙o紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟鏄灏戯紵 + </p> + </div> </div> </div> - <!-- 142 --> - <div class="page-box" page="149"> - <div v-if="showPageList.indexOf(149) > -1"> - <ul class="page-header-odd fl al-end"> - <li>142</li> - <li>鏁板.鍩虹妯″潡</li> - <li>涓婂唽</li> - </ul> - <div class="padding-116"></div> - </div> + <div class="page-box hidePage" page="149"> </div> - <!-- 143 --> <div class="page-box" page="150"> <div v-if="showPageList.indexOf(150) > -1"> - - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -420,7 +5663,59 @@ <p><span>143</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + 锛�2锛� + 鍋囪姝ゅ悗姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛堟瘡骞撮兘鍦ㄥ墠涓�骞村熀纭�涓婂鍔�1%锛夛紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟绾︿负澶氬皯锛燂紙鍗曚綅锛氫竾锛岀粨鏋滅簿纭埌0.01锛� + </p> + <p class="block"> + <b>鍒嗘瀽</b>锛�1锛� + 杩欐槸缁忔祹绀句細涓殑鈥滅嚎鎬у闀库�濈幇璞★紝鍗虫瘡骞村鍔犻噺淇濇寔涓嶅彉锛屾瘡骞村鍔�700涓囦汉鍙o紝20骞村叡澧炲姞14 + 000涓囦汉鍙o紝鍥犳鎬诲叡浜哄彛涓�155 178涓�. + </p> + <p class="block"> + 锛�2锛� + 杩欐槸缁忔祹绀句細涓殑鈥滄寚鏁板闀库�濈幇璞★紝鍗虫瘡骞存寜鐓т竴瀹氱殑澧為暱鐜囷紙鎴愬�嶆暟锛夊闀�.鎴戜滑棣栧厛鑰冩煡閫愬勾澧為暱鐨勬儏鍐碉紝浠庝腑鍙戠幇姣忎竴骞撮兘鏄墠涓�骞寸殑锛�1+1%锛夊�嶏紙涔熷彲閲囩敤鍚庝竴骞翠笌鍓嶄竴骞寸殑姣斿�煎彂鐜拌寰嬶級锛屽嵆鍛堟寚鏁板闀匡紝鏈�鍚庡埄鐢ㄦ寚鏁板嚱鏁扮煡璇嗚В鍐抽棶棰�. + </p> + <p class="block">2020骞村勾鏈� 浜哄彛绾︿负141 178涓囷紱</p> + <p class="block">缁忚繃1骞� 浜哄彛绾︿负141 178锛�1+1%锛変竾锛�</p> + <p class="block"> + 缁忚繃2骞� 浜哄彛绾︿负141 178锛�1+1%锛夛紙1+1%锛�=141 + 178锛�1+1%锛�<sup>2</sup>涓囷紱 + </p> + <p class="block"> + 缁忚繃3骞� 浜哄彛绾︿负141 178锛�1+1%锛�<sup>2</sup>锛�1+1%锛�=141 + 178锛�1+1%锛�<sup>3</sup>涓囷紱 + </p> + <p class="block">鈥︹��</p> + <p class="block"> + 缁忚繃<i>x</i>骞� 浜哄彛绾︿负141 178锛�1+1%锛�<i><sup>x</sup></i>涓�. + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负姣忓勾澧炲姞700涓囦汉鍙o紝20骞村叡澧炲姞20脳700涓�=14 + 000涓囦汉鍙o紝鍥犳20骞村悗鎴戝浗澶ч檰浜哄彛涓�155 178涓囷紙15.517 8浜匡級. + </p> + <p>锛�2锛� 璁剧粡杩�<i>x</i>骞达紝鎴戝浗浜哄彛涓�<i>y</i>涓囷紝鐢遍鎰忓緱</p> + <p class="center"> + <i>y</i>=141 178锛�1+1%锛�<i><sup>x</sup></i>. + </p> + <p>褰�<i>x</i>=20鏃讹紝<i>y</i>=141 178锛�1+1%锛�<sup>20</sup>.</p> + <p>鍒╃敤绉戝璁$畻鍣ㄥ彲姹傚緱<i>y</i>鈮�172 263.99涓�.</p> + <p> + 鎵�浠ワ紝鍋囪姣忓勾閮藉鍔�700涓囦汉鍙o紝20骞村悗鎴戝浗澶ч檰浜哄彛涓�155 + 178涓囷紱鍋囪姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛岀粡杩�20骞村悗鎴戝浗澶ч檰浜哄彛绾︿负172 + 263.99涓�. + </p> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /> + </p> + <p> + 姣旇緝涓ょ澧為暱鏂瑰紡锛岄殢鐫�鏃堕棿鎺ㄧЩ锛屸�滄寚鏁板闀库�濇柟寮忔洿鍏锋湁鐖嗗彂鎬�.鎺㈢┒涓ょ澧為暱鏂瑰紡鐨勭壒鐐癸紝骞跺垎鍒垪涓剧ぞ浼氱敓娲讳腑鐨勨�滅嚎鎬у闀库�濆拰鈥滄寚鏁板闀库�濈幇璞�. + </p> + <p> + 涓�鑸湴锛屽舰濡�<i>y</i>=<i>ka<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>k</i>鈮�0锛夌殑鍑芥暟绉颁负<b>鎸囨暟鍨嬪嚱鏁�</b>锛岃繖鏄敓娲诲疄闄呬腑甯歌鐨勫拰瀹炵敤鐨勫嚱鏁版ā鍨�.鍏朵腑锛屽綋<i>a</i>锛�1鏃讹紝璇ュ嚱鏁板彨浣滄寚鏁板闀挎ā鍨嬶紝濡傛垜浠父璇寸殑鈥滄寚鏁扮垎鐐糕�濈幇璞℃墍钑村惈鐨勫氨鏄繖绉嶆ā鍨嬶紱褰�0锛�<i>a</i>锛�1鏃讹紝璇ュ嚱鏁板彨浣滄寚鏁拌“鍑忔ā鍨嬶紝濡傝�冨彜宸ヤ綔涓殑纰�14琛板噺鐜拌薄鎵�钑村惈鐨勫氨鏄繖绉嶆ā鍨�. + </p> + </div> </div> </div> <!-- 144 --> @@ -431,42 +5726,107 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p> + <span class="zt-ls"><b>渚�2</b></span>銆�2020骞�12鏈�8鏃ワ紝涓浗銆佸凹娉婂皵涓ゅ浗鍏卞悓鍚戝叏涓栫晫姝e紡瀹e竷锛屼笘鐣岀涓�楂樺嘲鐝犵﹩鏈楃帥宄扮殑鏈�鏂版捣鎷旈珮绋嬩负8 + 848.86 + m.鐢变簬鐝犵﹩鏈楃帥宄版皵鍊欏鍙樸�侀珮瀵掔己姘с�佺幆澧冨鏉傦紝瀵规祴閲忚澶囥�佹祴缁樻妧鏈拰娴嬬粯浜哄憳鏈夊緢楂樼殑瑕佹眰锛屽洜姝ょ簿纭祴閲忕彔绌嗘湕鐜涘嘲楂樼▼鏄竴涓浗瀹舵祴缁樻妧鏈按骞冲拰鑳藉姏鐨勭患鍚堜綋鐜�.宸茬煡娴锋嫈楂樼▼<i>y</i>锛坢锛� + 涓庡ぇ姘斿帇寮�<i>x</i>锛圥a锛変箣闂寸殑鍏崇郴鍙敤鍑芥暟 <i>y</i>=<i>k</i> ln + <i>x</i>+<i>c</i> + 鏉ヨ繎浼兼弿杩帮紝鍏朵腑<i>c</i>锛�<i>k</i>鍙湅鎴愬父閲�.鍙堢煡鐧婚《杩囩▼涓紝娴峰钩闈㈢殑澶ф皵鍘嬪己涓�1.013脳10<sup>5</sup> + Pa锛屽寳鍧宠惀鍦版捣鎷�7 028 m锛屽ぇ姘斿帇寮虹害涓�4.21脳10<sup>4</sup>Pa. + </p> + <p> + 锛�1锛� 褰撳ぇ姘斿帇寮轰负3.81脳10<sup>4</sup> <i>Pa</i> 鏃讹紝娴锋嫈楂樼▼鏄灏戯紵 + </p> + <p> + 锛�2锛� 褰撴祴缁樹汉鍛樺湪鐧婚《杩囩▼涓祴寰楀叾鎵�鍦ㄤ綅缃殑娴锋嫈楂樼▼涓�8 844.43 + m鏃讹紝澶ф皵鍘嬪己涓哄灏戯紵 + </p> + <p> + <span class="zt-ls"><b>瑙�</b></span> 娴峰钩闈㈢殑娴锋嫈楂樼▼涓�0 m.灏� + </p> + <p class="center"> + <i>x</i><sub>1</sub>=1.013脳10<sup>5</sup>锛�<i>y</i><sub>1</sub>=0锛� + </p> + <p class="center"> + <i>x</i><sub>2</sub>=4.21脳10<sup>4</sup>锛�<i>y</i><sub>2</sub>=7 + 028锛� + </p> + <p>鍒嗗埆浠e叆鍑芥暟鍏崇郴寮忋��<i>y</i>=<i>k</i> ln <i>x</i>+<i>c</i>锛�</p> + <p>瑙e緱銆�<i>k</i>鈮�-8 004.203锛�<i>c</i>鈮�92 255.180.</p> + <p>浜庢槸锛屽ぇ姘斿帇寮轰笌娴锋嫈楂樼▼鐨勫叧绯诲紡杩戜技涓�</p> + <math display="block"> + <mi>y</mi> + <mo>=</mo> + <mo>鈭�</mo> + <mn>8004.203</mn> + <mi>ln</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>x</mi> + <mo>+</mo> + <mn>92255.180</mn> + <mo>.</mo> + </math> + <p class="right">鈶�</p> + <p>锛�1锛� 褰�<i>x</i>=3.81脳10<sup>4</sup>鏃讹紝</p> + <p><i>y</i>=-8 004.203脳ln锛�3.81脳10<sup>4</sup>锛�+92 255.180</p> + <p>鈮�7 827.090.</p> + <p> + 鎵�浠ワ紝褰撳ぇ姘斿帇寮轰负3.81脳10<sup>4</sup> <i>Pa</i>鏃讹紝娴锋嫈楂樼▼绾︿负7 + 827.090 m. + </p> + <p>锛�2锛� 鎶�<i>y</i>=8 844.43浠e叆鈶犲紡锛�</p> + <p class="center">8 844.43=-8 004.203 ln <i>x</i>+92 255.180锛�</p> + <p class="center"> + ln <i>x</i>=10.421鈬�<i>x</i>=<i>e</i><sup>10.421</sup>鈮�33 + 556.974鈮�3.36脳10<sup>4</sup>. + </p> + <p> + 鎵�浠ワ紝褰撴祴缁樹汉鍛樺湪鐧婚《杩囩▼涓祴寰楀叾鎵�鍦ㄤ綅缃殑娴锋嫈楂樼▼涓�8 844.43 + m鏃讹紝澶ф皵鍘嬪己绾︿负3.36脳10<sup>4</sup> + <i>Pa</i>锛岀害涓烘捣骞抽潰澶ф皵鍘嬪己鐨�<math display="0"> + <mfrac> + <mn>1</mn> + <mn>3</mn> + </mfrac> + </math>. + </p> + </div> </div> </div> - <!-- 145 --> <div class="page-box" page="152"> <div v-if="showPageList.indexOf(152) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> </li> <li> - <p><span>145</span></p> + <p><span>145-146</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p class="left"> + <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> + </p> + <div class="bj"> + <examinations :cardList="questionData[152] ? questionData[152][1] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa" + v-if="questionData"></examinations> + </div> + <h3 id="c047">涔犻4.5<span class="fontsz2">锛烇紴锛�</span></h3> + <div class="bj"> + <examinations :cardList="questionData[152] ? questionData[152][2] : []" :hideCollect="true" sourceType="json" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> - <!-- 146 --> - <div class="page-box" page="153"> - <div v-if="showPageList.indexOf(153) > -1"> - <ul class="page-header-odd fl al-end"> - <li>146</li> - <li>鏁板.鍩虹妯″潡</li> - <li>涓婂唽</li> - </ul> - <div class="padding-116"></div> - </div> - </div> - + <div class="page-box hidePage" page="153"></div> <!-- 147 --> <div class="page-box" page="154"> <div v-if="showPageList.indexOf(154) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -475,10 +5835,33 @@ <p><span>147</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h2 id="b027"> + 鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <p class="center">鎴戜滑韬竟鐨勨�滄寚鏁扮垎鐐糕��</p> + <p> + 鈥滄寚鏁扮垎鐐糕�濅笉鏄湡姝g殑鐖嗙偢锛屾槸浜嬬墿鏁伴噺鐨勫彉鍖栧憟鐜扮垎鐐稿紡鎬ュ墽澧為暱鏃剁殑鐜拌薄.鐢ㄦ暟瀛﹁瑷�鎻忚堪璇ョ幇璞℃椂锛屽彲鐢ㄦ寚鏁板嚱鏁版ā鍨�<i>f</i>锛�<i>x</i>锛�=<i>ka<sup>x</sup></i>锛�<i>a</i>锛�1锛夋潵鍒荤敾杩欑鍙樺寲瑙勫緥锛岃繖绉嶅闀挎柟寮忎篃鍙綔鈥滄寚鏁板闀库��. + </p> + <p> + 鍦ㄥ辜鍎垮洯銆佸皬瀛﹂樁娈碉紝鍚屽浠粡甯哥帺鐨勬姌绾告父鎴忎篃钑村惈鐫�鈥滄寚鏁扮垎鐐糕�濈殑閬撶悊.涓�寮犺冻澶熷ぇ銆佽冻澶熸煍杞殑绾哥墖姣忓鎶樹竴娆★紝绾哥墖鐨勫帤搴﹀氨浼氱炕涓�鐣紝濡傛灉鎸佺画瀵规姌涓嬪幓锛屽叾鍘氬害澧為暱鏄�滅垎鐐稿紡鈥濈殑.涓�寮犺冻澶熷ぇ鐨�1 + mm鍘氱殑绾哥墖濡傛灉杩炵画瀵规姌42娆★紝鍏跺帤搴﹀ぇ绾︿负4.4脳10<sup>5</sup> + km锛屽彲浠ョ洿鎺ヤ粠鍦扮悆杩炲埌鏈堢悆浜嗭紙鍦扮悆涓庢湀鐞冧箣闂寸殑璺濈绾︿负3.8脳10<sup>5</sup> + km锛�. + </p> + <p> + 鍦ㄥ崼鐢熷仴搴锋柟闈紝鎴戜滑鍑犱箮姣忓ぉ閮藉湪鍜岀粏鑿屾墦浜ら亾锛屽洜涓哄緢澶氱粏鑿岀殑绻佹畺閫熷害閮芥槸鍛堚�滄寚鏁扮垎鐐糕�濆紡鐨�.鏈夌爺绌舵樉绀猴紝涓�鍙屾湭娲楄繃鐨勬墜涓婂ぇ绾︽湁80涓囦釜缁嗚弻锛屽亣璁炬煇绉嶇粏鑿屼互浜屽垎瑁傛硶绻佹畺锛堟瘡鍒嗚涓�娆★紝鏁伴噺鏄師鏉ョ殑涓ゅ�嶏級锛屾瘡5绉掑垎瑁備竴娆★紝寰堝揩锛岃繖鍙屾湭娲楄繃鐨勬墜涓婄殑缁嗚弻灏变細澧為暱鍒�5 + 000澶氫竾涓紝搴炲ぇ鐨勭粏鑿岀兢浣撶粡甯镐細瀵艰嚧鎴戜滑鈥滅梾浠庢墜鍏モ��.鎵�浠ワ紝淇濇寔楗墠渚垮悗娲楁墜鐨勮壇濂藉崼鐢熶範鎯紝瀵规垜浠韩浣撳仴搴锋湁鐫�鑷冲叧閲嶈鐨勪綔鐢�. + </p> + <p> + 鍦ㄦ梾娓告湇鍔¢鍩燂紝涓�浜涙秷璐规�ф斂绛栧彲鑳戒細瀵艰嚧娓稿浜烘暟鐨勨�滅垎鐐稿紡鈥濆闀�.渚嬪锛屾煇涓�鏅尯涓哄惛寮曟洿澶氭父瀹紝浠�2001骞村紑濮嬶紝鏂借闂ㄧエ鍏嶈垂娲诲姩锛屾父瀹汉鏁颁粠30涓囦汉娆″鍔犲埌2020骞寸殑220涓囦汉娆★紝骞冲潎姣忓勾澧炲姞1.11鍊嶏紝杩欎篃钑村惈鐫�鈥滄寚鏁板闀库��.濡傛灉娓稿浜烘暟澧為暱杩囧害锛屼細鍑虹幇鏅尯浜烘弧涓烘偅銆佹湇鍔¤窡涓嶄笂绛夐棶棰橈紝鍥犳闇�瑕佸埄鐢ㄥ嚱鏁版ā鍨嬮娴嬫湭鏉ュ彉鍖栬秼鍔匡紝鍚堢悊鏂借鏃呮父娲诲姩. + </p> + <p> + 浠庣粏濡傚彂涓濈殑鎷夐潰銆佹姌绾告父鎴忋�佺粏鑿岀箒娈栵紝鍒版櫙鍖烘梾娓搞�侀摱琛屽偍钃勭瓑锛岄兘涓庘�滄寚鏁扮垎鐐糕�濇湁鐫�鍗冧笣涓囩紩鐨勮仈绯�.鍦ㄥ瑙備笘鐣屼腑锛屾暟瀛︽棭宸叉倓鎮勬綔鍏ユ垜浠敓娲汇�佸伐浣滅殑鏂规柟闈㈤潰. + </p> + </div> </div> </div> - <!-- 148 --> <div class="page-box" page="155"> <div v-if="showPageList.indexOf(155) > -1"> @@ -487,14 +5870,173 @@ <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h2 id="b028"> + 鍗曞厓灏忕粨<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <p class="bj2"><b>瀛︿範瀵煎浘</b></p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0159-1.jpg" /> + </p> + <p class="bj2"><b>瀛︿範鎸囧</b></p> + <p>1.瀹炴暟鎸囨暟骞�.</p> + <p>锛�1锛� 姝f暣鏁般�佽礋鏁存暟銆佸垎鏁般�佹寚鏁板箓鐨勬剰涔�.</p> + <p> + 鈶�<math display="0"> + <msup> + <mi>a</mi> + <mrow> + <mi>n</mi> + </mrow> + </msup> + <mo>=</mo> + <munder> + <mrow data-mjx-texclass="OP"> + <munder> + <mrow> + <mi>a</mi> + <mo>鈰�</mo> + <mi>a</mi> + <mo>鈰�</mo> + <mi>a</mi> + <mo>鈰�</mo> + <mo>鈰�</mo> + <mo>鈰�</mo> + <mi>a</mi> + </mrow> + <mo>鈴�</mo> + </munder> + </mrow> + <mrow> + <mi>n</mi> + <mo stretchy="false">鈫�</mo> + <mi>a</mi> + </mrow> + </munder> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>锛涖��鈶�<math display="0"> + <msup> + <mi>a</mi> + <mrow> + <mo>鈭�</mo> + <mi>n</mi> + </mrow> + </msup> + <mo>=</mo> + <mfrac> + <mn>1</mn> + <msup> + <mi>a</mi> + <mrow> + <mi>n</mi> + </mrow> + </msup> + </mfrac> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>a</mi> + <mo>鈮�</mo> + <mn>0</mn> + <mo>,</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>锛� + </p> + <p> + 鈶�<math display="0"> + <msup> + <mi>a</mi> + <mrow> + <mfrac> + <mi>m</mi> + <mi>n</mi> + </mfrac> + </mrow> + </msup> + <mo>=</mo> + <mroot> + <msup> + <mi>a</mi> + <mrow> + <mi>m</mi> + </mrow> + </msup> + <mi>n</mi> + </mroot> + <mrow data-mjx-texclass="INNER"> + <mo data-mjx-texclass="OPEN">(</mo> + <mi>a</mi> + <mo>></mo> + <mn>0</mn> + <mo>,</mo> + <mi>m</mi> + <mo>,</mo> + <mi>n</mi> + <mo>鈭�</mo> + <msub> + <mrow> + <mi mathvariant="bold">N</mi> + </mrow> + <mrow> + <mo>+</mo> + </mrow> + </msub> + <mo>,</mo> + <mi>n</mi> + <mo>></mo> + <mn>1</mn> + <mo data-mjx-texclass="CLOSE">)</mo> + </mrow> + </math>. + </p> + <p>锛�2锛� 杩愮畻鎬ц川.</p> + <p>璁�<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>m</i>锛�<i>n</i>鈭�<b>R</b>锛屽垯</p> + <p> + 鈶�<i>a<sup>m</sup> + a<sup>n</sup></i>=<i>a<sup>m+n</sup></i>锛涖��鈶★紙<i>a<sup>m</sup></i>锛�<i><sup>n</sup></i>=<i>a<sup>mn</sup></i>锛涖��鈶紙<i>ab</i>锛�<i><sup>n</sup></i>=<i>a<sup>n</sup> + b<sup>n</sup></i>. + </p> + <p>2.瀵规暟.</p> + <p> + 锛�1锛� + 瀹氫箟锛氬鏋�<i>a<sup>x</sup></i>=<i>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝閭d箞鏁�<i>x</i>鍙綔浠�<i>a</i>涓哄簳<i>N</i>鐨�<b>瀵规暟</b>锛岃浣�<i>x</i>=log<i><sub>a</sub>N</i>锛屽叾涓�<i>a</i>鍙綔瀵规暟鐨�<b>搴曟暟</b>锛堢畝绉板簳锛夛紝<i>N</i>鍙綔<b>鐪熸暟</b>. + </p> + <p> + 閫氬父鎴戜滑鎶妉og <sub>10</sub><i>N</i>鍙綔甯哥敤瀵规暟锛岀畝璁颁綔lg <i>N</i>锛� + 鎶妉og<sub>e</sub><i>N</i>鍙綔鑷劧瀵规暟锛岀畝璁颁綔ln <i>N</i>. + </p> + <p> + 锛�2锛� 鎬ц川锛氣憼闆跺拰璐熸暟娌℃湁瀵规暟锛涒憽log<i><sub>a</sub></i>1=0锛屽嵆1鐨勫鏁颁负0锛涒憿log<i><sub>a</sub>a</i>=1锛屽嵆搴曟暟鐨勫鏁颁负1. + </p> + </div> </div> </div> - <!-- 149 --> <div class="page-box" page="156"> <div v-if="showPageList.indexOf(156) > -1"> - <ul class="page-header-box"> <li> <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> @@ -503,69 +6045,188 @@ <p><span>149</span></p> </li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <p>锛�3锛� 杩愮畻娉曞垯.</p> + <p> + 鈶爈og<i><sub>a</sub></i>锛�<i>MN</i>锛�=log<i><sub>a</sub>M</i>+log<i><sub>a</sub>N</i>锛涖��鈶�<math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mfrac> + <mi>M</mi> + <mi>N</mi> + </mfrac> + <mo>=</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>M</mi> + <mo>鈭�</mo> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>N</mi> + </math>锛� + </p> + <p> + 鈶og<i><sub>a</sub>N<sup>n</sup></i>=<i>n</i>log + <i><sub>a</sub>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>n</i>鈭�<b>R</b>锛�. + </p> + <p>锛�4锛夛紙閫夊锛夋崲搴曞叕寮�.</p> + <p> + <math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + <mo>=</mo> + <mfrac> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>c</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>c</i>锛�0锛屼笖<i>c</i>鈮�1锛�. + </p> + <p> + 鐗瑰埆鍦帮紝<math display="0"> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + <mo>=</mo> + <mfrac> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>b</mi> + </mrow> + <mrow> + <mi>lg</mi> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>a</mi> + </mrow> + </mfrac> + </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�. + </p> + <p> + 瀵规暟鎭掔瓑寮忥細<math display="0"> + <msup> + <mi>a</mi> + <mrow> + <msub> + <mi>log</mi> + <mrow> + <mi>a</mi> + </mrow> + </msub> + <mo data-mjx-texclass="NONE">鈦�</mo> + <mi>N</mi> + </mrow> + </msup> + <mo>=</mo> + <mi>N</mi> + </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�. + </p> + <p>3.鎸囨暟鍑芥暟涓庡鏁板嚱鏁�.</p> + <p>锛�1锛� 瀹氫箟.</p> + <p> + 褰㈠<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙寚鏁板嚱鏁帮紱褰㈠<i>y</i>=log<i> + ax</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙鏁板嚱鏁�. + </p> + <p>锛�2锛� 鍥惧儚鍜屾�ц川.</p> + <p class="center"> + <img class="img-a" alt="" src="../../assets/images/0160-5.jpg" /> + </p> + <p>4.鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤.</p> + <p> + 鍒嗘瀽瀹炰緥鑳屾櫙锛屽缓绔嬫寚鏁板嚱鏁版垨瀵规暟鍑芥暟妯″瀷锛屽苟鍒╃敤鎸囨暟鍑芥暟銆佸鏁板嚱鏁扮殑鍥惧儚鍙婂熀鏈�ц川瑙e喅绠�鍗曠殑瀹為檯闂.浣撲細鈥滄寚鏁扮垎鐐糕�濅笌鈥滄寚鏁拌“鍑忊�濈殑鐗圭偣. + </p> + </div> </div> </div> - <!-- 150 --> <div class="page-box" page="157"> <div v-if="showPageList.indexOf(157) > -1"> <ul class="page-header-odd fl al-end"> - <li>150</li> + <li>150-152</li> <li>鏁板.鍩虹妯″潡</li> <li>涓婂唽</li> </ul> - <div class="padding-116"></div> + <div class="padding-116"> + <h2 id="b029"> + 鍗曞厓妫�娴�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span> + </h2> + <div class="bj"> + <examinations :cardList="questionData[157]" :hideCollect="true" sourceType="json" inputBc="#d3edfa" v-if="questionData"> + </examinations> + </div> + </div> </div> </div> <!-- 151 --> - <div class="page-box" page="158"> - <div v-if="showPageList.indexOf(158) > -1"> - - <ul class="page-header-box"> - <li> - <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p> - </li> - <li> - <p><span>151</span></p> - </li> - </ul> - <div class="padding-116">158</div> - </div> - </div> + <div class="page-box hidePage" page="158"></div> <!-- 152 --> - <div class="page-box" page="159"> - <div v-if="showPageList.indexOf(159) > -1"> - <ul class="page-header-odd fl al-end"> - <li>152</li> - <li>鏁板.鍩虹妯″潡</li> - <li>涓婂唽</li> - </ul> - <div class="padding-116">159</div> - </div> - </div> + <div class="page-box hidePage" page="159"></div> </div> </template> <script> +import examinations from "@/components/examinations/index.vue"; export default { - name: '', + name: "", props: { showPageList: { type: Array, default: [], }, + questionData: { + type: Object, + }, }, - components: {}, + components: { examinations }, data() { - return {} + return {}; }, - computed: {}, - watch: {}, - created() { }, mounted() { }, methods: {}, -} +}; </script> <style lang="less" scoped></style> -- Gitblit v1.9.1