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massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
<TeXmacs|2.1.2>
高考数学：十份试题 (#3)
2022-05-15 15:50:23 +08:00
<style|<tuple|generic|chinese>>
<\body>
<doc-data|<doc-title|2021<with|font|Songti
massive update for Mogan Research 1.2.5
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SC|\<#5377\>\<#6570\>\<#5B66\>\<#8BD5\>\<#9898\>>>>
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
<with|font-series|bold|<with|font|Songti
SC|\<#4E00\>>\<#3001\><with|font|Songti SC|\<#5355\>\<#9009\>\<#9898\>>>
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
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高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><math|<around*|{|2|}>>>|<cell|B<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|<around*|{|3,4|}>>>|<cell|D<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<around*|{|2,3,4|}>>>>>>>\
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
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高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><math|2>>|<cell|B<with|font|Hiragino Kaku Gothic
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Gothic ProN|\<#FF0C\>><with|font|Songti
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高考数学：十份试题 (#3)
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<around*|(|x-<frac|\<pi\>|6>|)>><with|font|Songti
massive update for Mogan Research 1.2.5
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SC|\<#5355\>\<#8C03\>\<#9012\>\<#589E\>\<#7684\>\<#533A\>\<#95F4\>\<#662F\>>\<#FF08\><space|1.2em>\<#FF09\>
高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><math|<around*|(|0,<frac|\<pi\>|2>|)>>
高考数学：十份试题 (#3)
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>|<cell|B<with|font|Hiragino Kaku Gothic
massive update for Mogan Research 1.2.5
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ProN|\<#FF0E\>><math|<around*|(|<frac|\<pi\>|2>,\<pi\>|)>>>|<cell|C<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<around*|(|\<pi\>,<frac|3*\<pi\>|2>|)>>>|<cell|D<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<around*|(|<frac|3*\<pi\>|2>,2*\<pi\>|)>>>>>>>
高考数学：十份试题 (#3)
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\
massive update for Mogan Research 1.2.5
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5<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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Gothic ProN|\<#FF0C\>><with|font|Songti
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高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>>13>|<cell|B<with|font|Hiragino Kaku Gothic
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ProN|\<#FF0E\>>6>>>>> \ \
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SC|\<#82E5\>><math|tan \<theta\>=-2><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>><math|<frac|sin
高考数学：十份试题 (#3)
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\<theta\>*<around*|(|1+sin 2*\<theta\>|)>|sin \<theta\>+cos
massive update for Mogan Research 1.2.5
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\<theta\>>=>\<#FF08\><space|1.2em>\<#FF09\>
高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><math|<frac|2|5>>>|<cell|D<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<frac|6|5>>>>>>>\
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SC|\<#7684\>\<#4E24\>\<#6761\>\<#5207\>\<#7EBF\>><with|font|Hiragino Kaku
Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>>\<#FF08\><space|1.2em>\<#FF09\>
高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><math|e<rsup|b>\<less\>a>>|<cell|B<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|0\<less\>a\<less\>e<rsup|b>>>|<cell|D<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|0\<less\>b\<less\>e<rsup|a>>>>>>>\
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>>\<#FF08\><space|1.2em>\<#FF09\>
高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#7532\>\<#4E0E\>\<#4E01\>\<#76F8\>\<#4E92\>\<#72EC\>\<#7ACB\>>>>|<row|<cell|C<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#4E59\>\<#4E0E\>\<#4E19\>\<#76F8\>\<#4E92\>\<#72EC\>\<#7ACB\>>>|<cell|D<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#4E19\>\<#4E0E\>\<#4E01\>\<#76F8\>\<#4E92\>\<#72EC\>\<#7ACB\>>>>>>>
高考数学：十份试题 (#3)
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\;
massive update for Mogan Research 1.2.5
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SC|\<#4E8C\>>\<#3001\><with|font|Songti SC|\<#591A\>\<#9009\>\<#9898\>>>
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SC|\<#6709\>\<#4E00\>\<#7EC4\>\<#6837\>\<#672C\>\<#6570\>\<#636E\>><math|x<rsub|1>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|x<rsub|2>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>>...<with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|x<rsub|n>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#7531\>\<#8FD9\>\<#7EC4\>\<#6570\>\<#636E\>\<#5F97\>\<#5230\>\<#65B0\>\<#6837\>\<#672C\>\<#6570\>\<#636E\>><math|y<rsub|1>><with|font|Hiragino
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ProN|\<#FF0C\>>...<with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|y<rsub|n>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5176\>\<#4E2D\>><math|y<rsub|i>=x<rsub|i>+c>
高考数学：十份试题 (#3)
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<math|<around|(|i=1,2,\<cdot\>\<cdot\>\<cdot\>,n|)>,c><with|font|Songti
massive update for Mogan Research 1.2.5
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SC|\<#4E3A\>\<#975E\>\<#96F6\>\<#5E38\>\<#6570\>><with|font|Hiragino Kaku
Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>>\<#FF08\><space|1.2em>\<#FF09\>
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
A<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#4E24\>\<#7EC4\>\<#6837\>\<#672C\>\<#6570\>\<#636E\>\<#7684\>\<#6837\>\<#672C\>\<#5E73\>\<#5747\>\<#6570\>\<#76F8\>\<#540C\>>
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
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B<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#4E24\>\<#7EC4\>\<#6837\>\<#672C\>\<#6570\>\<#636E\>\<#7684\>\<#6837\>\<#672C\>\<#4E2D\>\<#4F4D\>\<#6570\>\<#76F8\>\<#540C\>>
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
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C<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
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D<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#4E24\>\<#7EC4\>\<#6837\>\<#6570\>\<#636E\>\<#7684\>\<#6837\>\<#672C\>\<#6781\>\<#5DEE\>\<#76F8\>\<#540C\>>
高考数学：十份试题 (#3)
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massive update for Mogan Research 1.2.5
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10<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5DF2\>\<#77E5\>><math|O><with|font|Songti
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ProN|\<#FF0C\>><math|P<rsub|2>*<around*|(|cos \<beta\>,-sin
高考数学：十份试题 (#3)
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\<beta\>|)>><with|font|Hiragino Kaku Gothic
massive update for Mogan Research 1.2.5
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ProN|\<#FF0C\>><math|P<rsub|3>*<around*|(|cos
<around|(|\<alpha\>+\<beta\>|)>,sin <around|(|\<alpha\>+\<beta\>|)>|)>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>>\<#FF08\><space|1.2em>\<#FF09\>
高考数学：十份试题 (#3)
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
massive update for Mogan Research 1.2.5
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Kaku Gothic ProN|\<#FF0E\>><math|<around*|\||<wide|O*P<rsub|1>|\<wide-varrightarrow\>>|\|>=<around*|\||<wide|O*P<rsub|2>|\<wide-varrightarrow\>>|\|>>>|<cell|B<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<around*|\||<wide|A*P<rsub|1>|\<wide-varrightarrow\>>|\|>=<around*|\||<wide|A*P<rsub|2>|\<wide-varrightarrow\>>|\|>>>>|<row|<cell|C<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<wide|O*A|\<wide-varrightarrow\>>\<cdot\><wide|O*P|\<wide-varrightarrow\>><rsub|3>=<wide|O*P<rsub|1>|\<wide-varrightarrow\>>\<cdot\><wide|O*P<rsub|2>|\<wide-varrightarrow\>>>>|<cell|D<with|font|Hiragino
Kaku Gothic ProN|\<#FF0E\>><math|<wide|O*A|\<wide-varrightarrow\>>\<cdot\><wide|O*P<rsub|1>|\<wide-varrightarrow\>>=<wide|O*P<rsub|2>|\<wide-varrightarrow\>>\<cdot\><wide|O*P<rsub|3>|\<wide-varrightarrow\>>>>>>>>
高考数学：十份试题 (#3)
2022-05-15 15:50:23 +08:00
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massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
11<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5DF2\>\<#77E5\>\<#70B9\>><math|P><with|font|Songti
SC|\<#5728\>\<#5706\>><math|<around|(|x-5|)><rsup|2>+<around|(|y-5|)><rsup|2>=16><with|font|Songti
SC|\<#4E0A\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#70B9\>><math|A*<around|(|4,0|)>>\<#3001\><math|B*<around|(|0,2|)>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>>\<#FF08\><space|1.2em>\<#FF09\>
A<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#70B9\>><math|P><with|font|Songti SC|\<#5230\>\<#76F4\>\<#7EBF\>><math|A*B><with|font|Songti
SC|\<#7684\>\<#8DDD\>\<#79BB\>\<#5C0F\>\<#4E8E\>><math|10>
B<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#70B9\>><math|P><with|font|Songti SC|\<#5230\>\<#76F4\>\<#7EBF\>><math|A*B><with|font|Songti
SC|\<#7684\>\<#8DDD\>\<#79BB\>\<#5927\>\<#4E8E\>><math|2>
C<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5F53\>><math|\<angle\>*P*B*A><with|font|Songti
SC|\<#6700\>\<#5C0F\>\<#65F6\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|<around|\||P*B|\|>=3*<sqrt|2>>
D<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5F53\>><math|\<angle\>*P*B*A><with|font|Songti
SC|\<#6700\>\<#5927\>\<#65F6\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|<around|\||P*B|\|>=3*<sqrt|2>>
12<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5728\>\<#6B63\>\<#4E09\>\<#68F1\>\<#67F1\>><math|A*B*C-A<rsub|1>*B<rsub|1>*C<rsub|1>><with|font|Songti
SC|\<#4E2D\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|A*B=A*A<rsub|1>=1><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#70B9\>><math|P><with|font|Songti
SC|\<#6EE1\>\<#8DB3\>><math|<wide|B*P|\<wide-varrightarrow\>>=\<lambda\><wide|B*C|\<wide-varrightarrow\>>+\<mu\><wide|B*B<rsub|1>|\<wide-varrightarrow\>>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5176\>\<#4E2D\>><math|\<lambda\>\<in\><around|[|0,1|]>>\<#FF0C\><math|\<mu\>\<in\><around|[|0,1|]>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>>\<#FF08\><space|1.2em>\<#FF09\>
A<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5F53\>><math|\<lambda\>=1><with|font|Songti
SC|\<#65F6\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|<big|triangleup>A*B<rsub|1>*P><with|font|Songti
SC|\<#7684\>\<#5468\>\<#957F\>\<#4E3A\>\<#5B9A\>\<#503C\>>
B<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5F53\>><math|\<mu\>=1><with|font|Songti
SC|\<#65F6\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#4E09\>\<#68F1\>\<#9525\>><math|P-A<rsub|1>*B*C><with|font|Songti
SC|\<#7684\>\<#4F53\>\<#79EF\>\<#4E3A\>\<#5B9A\>\<#503C\>>
C<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5F53\>><math|\<lambda\>=<frac|1|2>><with|font|Songti
SC|\<#65F6\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#6709\>\<#4E14\>\<#4EC5\>\<#6709\>\<#4E00\>\<#4E2A\>\<#70B9\>><math|P><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#4F7F\>\<#5F97\>><math|A<rsub|1>*P*\<bot\>*B*P>
D<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5F53\>><math|\<mu\>=<frac|1|2>><with|font|Songti
SC|\<#65F6\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#6709\>\<#4E14\>\<#4EC5\>\<#6709\>\<#4E00\>\<#4E2A\>\<#70B9\>><math|P><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#4F7F\>\<#5F97\>><math|A<rsub|1>*B*\<bot\>><with|font|Songti
SC|\<#5E73\>\<#9762\>><math|A*B<rsub|1>*P>
<with|font-series|bold|<with|font|Songti
SC|\<#4E09\>>\<#3001\><with|font|Songti SC|\<#586B\>\<#7A7A\>\<#9898\>>>
13<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\>><math|f<around|(|x|)>=x<rsup|3>*<around*|(|a\<cdot\>2<rsup|x>-2<rsup|-x>|)>><with|font|Songti
SC|\<#662F\>\<#5076\>\<#51FD\>\<#6570\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>><math|a=><underline|<space|2cm>>\<#FF0E\>
14<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5DF2\>\<#77E5\>><math|O><with|font|Songti
SC|\<#4E3A\>\<#5750\>\<#6807\>\<#539F\>\<#70B9\>><with|font|Hiragino Kaku
Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#629B\>\<#7269\>\<#7EBF\>><math|C><with|font|Hiragino Kaku Gothic
ProN|\<#FF1A\>><math|y<rsup|2>=2*p*x> (<math|p\<gtr\>0>)<with|font|Songti
SC|\<#7684\>\<#7126\>\<#70B9\>\<#4E3A\>><math|F><with|font|Hiragino Kaku
Gothic ProN|\<#FF0C\>><math|P><with|font|Songti
SC|\<#4E3A\>><math|C><with|font|Songti SC|\<#4E0A\>\<#4E00\>\<#70B9\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|P*F><with|font|Songti
SC|\<#4E0E\>><math|x><with|font|Songti SC|\<#8F74\>\<#5782\>\<#76F4\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|Q><with|font|Songti
SC|\<#4E3A\>><math|x><with|font|Songti SC|\<#8F74\>\<#4E0A\>\<#4E00\>\<#70B9\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#4E14\>><math|P*Q*\<bot\>*O*P><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#82E5\>><math|<around|\||F*Q|\|>=6><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5219\>><math|C><with|font|Songti SC|\<#7684\>\<#51C6\>\<#7EBF\>\<#65B9\>\<#7A0B\>\<#4E3A\>><underline|<space|2cm>>\<#FF0E\>
15<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#51FD\>\<#6570\>><math|f<around|(|x|)>=<around|\||2*x-1|\|>-2*ln
x><with|font|Songti SC|\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\>><underline|<space|2cm>>\<#FF0E\>
<with|font-series|bold|<with|font|Songti
SC|\<#56DB\>>\<#3001\><with|font|Songti SC|\<#53CC\>\<#7A7A\>\<#9898\>>>
16<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#67D0\>\<#6821\>\<#5B66\>\<#751F\>\<#5728\>\<#7814\>\<#7A76\>\<#6C11\>\<#95F4\>\<#526A\>\<#7EB8\>\<#827A\>\<#672F\>\<#65F6\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#53D1\>\<#73B0\>\<#526A\>\<#7EB8\>\<#65F6\>\<#7ECF\>\<#5E38\>\<#4F1A\>\<#6CBF\>\<#7EB8\>\<#7684\>\<#67D0\>\<#6761\>\<#5BF9\>\<#79F0\>\<#8F74\>\<#628A\>\<#7EB8\>\<#5BF9\>\<#6298\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#89C4\>\<#683C\>\<#4E3A\>><math|20<text|dm>\<times\>12>dm<with|font|Songti
SC|\<#7684\>\<#957F\>\<#65B9\>\<#5F62\>\<#7EB8\>><with|font|Hiragino Kaku
Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5BF9\>\<#6298\>>1<with|font|Songti
SC|\<#6B21\>\<#5171\>\<#53EF\>\<#4EE5\>\<#5F97\>\<#5230\>><math|10<text|dm>\<times\>12>dm<with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|20<text|dm>\<times\>6>dm<with|font|Songti
SC|\<#4E24\>\<#79CD\>\<#89C4\>\<#683C\>\<#7684\>\<#56FE\>\<#5F62\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5B83\>\<#4EEC\>\<#7684\>\<#9762\>\<#79EF\>\<#4E4B\>\<#548C\>><math|S<rsub|1>=240<text|dm><rsup|2>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5BF9\>\<#6298\>>2<with|font|Songti
SC|\<#6B21\>\<#5171\>\<#53EF\>\<#4EE5\>\<#5F97\>\<#5230\>><math|5<text|dm>\<times\>12>dm<with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|10<text|dm>\<times\>6>dm<with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|20<text|dm>\<times\>3>dm<with|font|Songti
SC|\<#4E09\>\<#79CD\>\<#89C4\>\<#683C\>\<#7684\>\<#56FE\>\<#5F62\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5B83\>\<#4EEC\>\<#7684\>\<#9762\>\<#79EF\>\<#4E4B\>\<#548C\>><math|S<rsub|2>=180<text|dm><rsup|2>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#4EE5\>\<#6B64\>\<#7C7B\>\<#63A8\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>\<#5BF9\>\<#6298\>>4<with|font|Songti
SC|\<#6B21\>\<#5171\>\<#53EF\>\<#4EE5\>\<#5F97\>\<#5230\>\<#4E0D\>\<#540C\>\<#89C4\>\<#683C\>\<#56FE\>\<#5F62\>\<#7684\>\<#79CD\>\<#6570\>\<#4E3A\>><underline|<space|2cm>><with|font|Hiragino
Kaku Gothic ProN|\<#FF1B\>><with|font|Songti
SC|\<#5982\>\<#679C\>\<#5BF9\>\<#6298\>><math|n><with|font|Songti
SC|\<#6B21\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#90A3\>\<#4E48\>><math|<big|sum><rsub|k=1><rsup|n>S<rsub|k>=><underline|<space|2cm>>dm<rsup|<math|2>>.
<with|font-series|bold|<with|font|Songti
SC|\<#4E94\>>\<#3001\><with|font|Songti SC|\<#89E3\>\<#7B54\>\<#9898\>>>
17<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5DF2\>\<#77E5\>\<#6570\>\<#5217\>><math|<around*|{|a<rsub|n>|}>><with|font|Songti
SC|\<#6EE1\>\<#8DB3\>><math|a<rsub|1>=1><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|a<rsub|n+1>=><choice|<tformat|<table|<row|<cell|a<rsub|n>+1,n<with|font|Songti
SC|\<#4E3A\>\<#5947\>\<#6570\>>,>>|<row|<cell|a<rsub|n>+2,n<with|font|Songti
SC|\<#4E3A\>\<#5076\>\<#6570\>>.>>>>>
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>1<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#8BB0\>><math|b<rsub|n>=a<rsub|2*n>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5199\>\<#51FA\>><math|b<rsub|1>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><math|b<rsub|2>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5E76\>\<#6C42\>\<#6570\>\<#5217\>><math|<around*|{|b<rsub|n>|}>><with|font|Songti
SC|\<#7684\>\<#901A\>\<#9879\>\<#516C\>\<#5F0F\>><with|font|Hiragino Kaku
Gothic ProN|\<#FF1B\>>
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>2<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#6C42\>><math|<around*|{|a<rsub|n>|}>><with|font|Songti
SC|\<#7684\>\<#524D\>>20<with|font|Songti
SC|\<#9879\>\<#548C\>>.<vspace|3cm>
18<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#67D0\>\<#5B66\>\<#6821\>\<#7EC4\>\<#7EC7\>>\P<with|font|Songti
SC|\<#4E00\>\<#5E26\>\<#4E00\>\<#8DEF\>>\Q<with|font|Songti
SC|\<#77E5\>\<#8BC6\>\<#7ADE\>\<#8D5B\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#6709\>><em|A><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><em|B><with|font|Songti
SC|\<#4E24\>\<#7C7B\>\<#95EE\>\<#9898\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#6BCF\>\<#4F4D\>\<#53C2\>\<#52A0\>\<#6BD4\>\<#8D5B\>\<#7684\>\<#540C\>\<#5B66\>\<#5148\>\<#5728\>\<#4E24\>\<#7C7B\>\<#95EE\>\<#9898\>\<#4E2D\>\<#9009\>\<#62E9\>\<#4E00\>\<#7C7B\>\<#5E76\>\<#4ECE\>\<#4E2D\>\<#968F\>\<#673A\>\<#62BD\>\<#53D6\>\<#4E00\>\<#4E2A\>\<#95EE\>\<#9898\>\<#56DE\>\<#7B54\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#82E5\>\<#56DE\>\<#7B54\>\<#9519\>\<#8BEF\>\<#5219\>\<#8BE5\>\<#540C\>\<#5B66\>\<#6BD4\>\<#8D5B\>\<#7ED3\>\<#675F\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF1B\>><with|font|Songti
SC|\<#82E5\>\<#56DE\>\<#7B54\>\<#6B63\>\<#786E\>\<#5219\>\<#4ECE\>\<#53E6\>\<#4E00\>\<#7C7B\>\<#95EE\>\<#9898\>\<#4E2D\>\<#518D\>\<#968F\>\<#673A\>\<#62BD\>\<#53D6\>\<#4E00\>\<#4E2A\>\<#95EE\>\<#9898\>\<#56DE\>\<#7B54\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#65E0\>\<#8BBA\>\<#56DE\>\<#7B54\>\<#6B63\>\<#786E\>\<#4E0E\>\<#5426\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#8BE5\>\<#540C\>\<#5B66\>\<#6BD4\>\<#8D5B\>\<#7ED3\>\<#675F\>>.<em|A><with|font|Songti
SC|\<#7C7B\>\<#95EE\>\<#9898\>\<#4E2D\>\<#7684\>\<#6BCF\>\<#4E2A\>\<#95EE\>\<#9898\>\<#56DE\>\<#7B54\>\<#6B63\>\<#786E\>\<#5F97\>>20<with|font|Songti
SC|\<#5206\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5426\>\<#5219\>\<#5F97\>>0<with|font|Songti
SC|\<#5206\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF1B\>><em|B><with|font|Songti SC|\<#7C7B\>\<#95EE\>\<#9898\>\<#4E2D\>\<#7684\>\<#6BCF\>\<#4E2A\>\<#95EE\>\<#9898\>\<#56DE\>\<#7B54\>\<#6B63\>\<#786E\>\<#5F97\>>80<with|font|Songti
SC|\<#5206\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5426\>\<#5219\>\<#5F97\>>0<with|font|Songti
SC|\<#5206\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5DF1\>\<#77E5\>\<#5C0F\>\<#660E\>\<#80FD\>\<#6B63\>\<#786E\>\<#56DE\>\<#7B54\>><em|A><with|font|Songti
SC|\<#7C7B\>\<#95EE\>\<#9898\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\>>0.8<with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#80FD\>\<#6B63\>\<#786E\>\<#56DE\>\<#7B54\>><em|B><with|font|Songti
SC|\<#7C7B\>\<#95EE\>\<#9898\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\>>0.6<with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#4E14\>\<#80FD\>\<#6B63\>\<#786E\>\<#56DE\>\<#7B54\>\<#95EE\>\<#9898\>\<#7684\>\<#6982\>\<#7387\>\<#4E0E\>\<#56DE\>\<#7B54\>\<#6B21\>\<#5E8F\>\<#65E0\>\<#5173\>>.
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>1<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#82E5\>\<#5C0F\>\<#660E\>\<#5148\>\<#56DE\>\<#7B54\>><em|A><with|font|Songti
SC|\<#7C7B\>\<#95EE\>\<#9898\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#8BB0\>><math|X><with|font|Songti
SC|\<#4E3A\>\<#5C0F\>\<#660E\>\<#7684\>\<#7D2F\>\<#8BA1\>\<#5F97\>\<#5206\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#6C42\>><math|X><with|font|Songti SC|\<#7684\>\<#5206\>\<#5E03\>\<#5217\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF1B\>>
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>2<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#4E3A\>\<#4F7F\>\<#7D2F\>\<#8BA1\>\<#5F97\>\<#5206\>\<#7684\>\<#671F\>\<#671B\>\<#6700\>\<#5927\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#5C0F\>\<#660E\>\<#5E94\>\<#9009\>\<#62E9\>\<#5148\>\<#56DE\>\<#7B54\>\<#54EA\>\<#7C7B\>\<#95EE\>\<#9898\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF1F\>><with|font|Songti
SC|\<#5E76\>\<#8BF4\>\<#660E\>\<#7406\>\<#7531\>>.<vspace|3cm>
19<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#8BB0\>><math|\<triangle\>A B C><with|font|Songti
SC|\<#662F\>\<#5185\>\<#89D2\>><math|<math|A>\<#FF0C\><math|B>\<#FF0C\><math|C>><with|font|Songti
SC|\<#7684\>\<#5BF9\>\<#8FB9\>\<#5206\>\<#522B\>\<#4E3A\>><math|a>\<#FF0C\><math|b>\<#FF0C\><math|c>.<with|font|Songti
SC|\<#5DF2\>\<#77E5\>><math|b<rsup|2>=a*c>\<#FF0C\><with|font|Songti
SC|\<#70B9\>><math|D><with|font|Songti SC|\<#5728\>\<#8FB9\>><math|A*C><with|font|Songti
SC|\<#4E0A\>>\<#FF0C\> <math|B*D*sin \<angle\>*A*B*C=a*sin C>.
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>1<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#8BC1\>\<#660E\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF1A\>><math|B*D=b><with|font|Hiragino Kaku Gothic ProN|\<#FF1B\>>
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>2<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#82E5\>><math|A*D=2*D*C><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#6C42\>><math|cos
高考数学：十份试题 (#3)
2022-05-15 15:50:23 +08:00
\<angle\>*A*B*C>.<vspace|3cm>
massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
20<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
SC|\<#5982\>\<#56FE\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5728\>\<#4E09\>\<#68F1\>\<#9525\>><math|A-B*C*D><with|font|Songti
SC|\<#4E2D\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#5E73\>\<#9762\>><math|A*B*D*\<bot\>><with|font|Songti
SC|\<#5E73\>\<#9762\>><math|B*C*D><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|A*B=A*D><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|O><with|font|Songti
SC|\<#4E3A\>><math|B*D><with|font|Songti SC|\<#7684\>\<#4E2D\>\<#70B9\>>.
高考数学：十份试题 (#3)
2022-05-15 15:50:23 +08:00
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massive update for Mogan Research 1.2.5
2024-02-24 11:38:26 +08:00
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Gothic ProN|\<#FF09\>><with|font|Songti
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ProN|\<#FF1A\>><math|O*A*\<bot\>*C*D><with|font|Hiragino Kaku Gothic
ProN|\<#FF1B\>>
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>2<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#82E5\>><math|<big|triangleup>O*C*D><with|font|Songti
SC|\<#662F\>\<#8FB9\>\<#957F\>\<#4E3A\>>1<with|font|Songti
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ProN|\<#FF0C\>><math|D*E=2*E*A><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><with|font|Songti SC|\<#4E14\>\<#4E8C\>\<#9762\>\<#89D2\>><math|E-B*C-D><with|font|Songti
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SC|\<#7684\>\<#4F53\>\<#79EF\>>.<vspace|3cm>
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ProN|\<#FF0C\>><with|font|Songti SC|\<#5DF2\>\<#77E5\>\<#70B9\>><math|F<rsub|1>*<around*|(|-<sqrt|17>,0|)>>\<#3001\><math|F<rsub|2>*<around*|(|<sqrt|17>,0|)><with|font|Hiragino
Kaku Gothic ProN|\<#FF0C\>><around*|\||M*F<rsub|1>|\|>-<around*|\||M*F<rsub|2>|\|>=2><with|font|Hiragino
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SC|\<#70B9\>><math|M><with|font|Songti SC|\<#7684\>\<#8F68\>\<#8FF9\>\<#4E3A\>><math|C>.
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>1<with|font|Hiragino Kaku
Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#6C42\>><math|C><with|font|Songti SC|\<#7684\>\<#65B9\>\<#7A0B\>><with|font|Hiragino
Kaku Gothic ProN|\<#FF1B\>>
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Gothic ProN|\<#FF09\>><with|font|Songti
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SC|\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\>><math|f<around|(|x|)>=x*<around*|(|1-ln
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Gothic ProN|\<#FF09\>><with|font|Songti
SC|\<#8BA8\>\<#8BBA\>><math|f<around|(|x|)>><with|font|Songti
SC|\<#7684\>\<#5355\>\<#8C03\>\<#6027\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF1B\>>
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SC|\<#8BBE\>><math|a><with|font|Hiragino Kaku Gothic
ProN|\<#FF0C\>><math|b><with|font|Songti
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti SC|\<#4E14\>><math|b*ln a-a*ln
b=a-b><with|font|Hiragino Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
SC|\<#8BC1\>\<#660E\>><with|font|Hiragino Kaku Gothic
ProN|\<#FF1A\>><math|2\<less\><frac|1|a>+<frac|1|b>\<less\>>e.
高考数学：十份试题 (#3)
2022-05-15 15:50:23 +08:00
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