mirror of https://gitee.com/XmacsLabs/planet.git
402 lines
818 KiB
Tcl
402 lines
818 KiB
Tcl
<TeXmacs|2.1.2>
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<style|<tuple|generic|chinese>>
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<\body>
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<doc-data|<doc-title|2021\<#5E74\>\<#5929\>\<#6D25\>\<#9AD8\>\<#8003\>\<#6570\>\<#5B66\>\<#8BD5\>\<#9898\>>>
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<with|font-series|bold|<with|font|Songti
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SC|\<#4E00\>>\<#3001\><with|font|Songti SC|\<#5355\>\<#9009\>\<#9898\>>>
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1<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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SC|\<#8BBE\>\<#96C6\>\<#5408\>><math|A=<around*|{|-1,0,1|}><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>>*B=<around*|{|1,3,5|}>,C=<around*|{|0,2,4|}>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
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SC|\<#5219\>><math|<around|(|A\<cap\>B|)>\<cup\>C=><with|font|Hiragino Kaku
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Gothic ProN|\<#FF08\> \<#FF09\>>
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|<around*|{|0|}>>>|<cell|B<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|<around|{|0,1,3,5|}>>>|<cell|C<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|<around|{|0,1,2,4|}>>>|<cell|D<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|<around|{|0,2,3,4|}>>>>>>>\
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2<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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SC|\<#5DF2\>\<#77E5\>><math|a\<in\><math-bf|R>><with|font|Hiragino Kaku
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Gothic ProN|\<#FF0C\>><with|font|Songti
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SC|\<#5219\>>\P<math|a\<gtr\>6>\Q<with|font|Songti
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SC|\<#662F\>>\P<math|a<rsup|2>\<gtr\>36>\Q<with|font|Songti
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SC|\<#7684\>><with|font|Hiragino Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\>\<#5145\>\<#5206\>\<#800C\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>>|<cell|B\<#FF0E\>\<#5FC5\>\<#8981\>\<#800C\>\<#4E0D\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>>>|<row|<cell|C\<#FF0E\>\<#5145\>\<#5206\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>>|<cell|D\<#FF0E\>\<#65E2\>\<#4E0D\>\<#5145\>\<#5206\>\<#4E5F\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>>>>>>
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3<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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SC|\<#51FD\>\<#6570\>><math|y=<frac|ln <around|\||x|\|>|x<rsup|2>+2>><with|font|Songti
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SC|\<#7684\>\<#56FE\>\<#50CF\>\<#5927\>\<#81F4\>\<#4E3A\>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
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A<with|font|Hiragino Kaku Gothic 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SC|\<#90E8\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#7EDF\>\<#8BA1\>\<#5176\>\<#8BC4\>\<#5206\>\<#6570\>\<#636E\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5C06\>\<#6240\>\<#5F97\>><math|400><with|font|Songti
|
|
SC|\<#4E2A\>\<#8BC4\>\<#5206\>\<#6570\>\<#636E\>\<#5206\>\<#4E3A\>><math|8><with|font|Songti
|
|
SC|\<#7EC4\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF1A\>><math|<around*|\<nobracket\>|66,70|)>>\<#3001\><math|<around*|\<nobracket\>|70,74|)>>\<#3001\><math|\<cdots\>>\<#3001\><math|<around|[|94,98|]>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5E76\>\<#6574\>\<#7406\>\<#5F97\>\<#5230\>\<#5982\>\<#4E0B\>\<#7684\>\<#9891\>\<#7387\>\<#5206\>\<#5E03\>\<#76F4\>\<#65B9\>\<#56FE\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5219\>\<#8BC4\>\<#5206\>\<#5728\>\<#533A\>\<#95F4\>><math|<around*|\<nobracket\>|82,86|)>><with|font|Songti
|
|
SC|\<#5185\>\<#7684\>\<#5F71\>\<#89C6\>\<#4F5C\>\<#54C1\>\<#6570\>\<#91CF\>\<#662F\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
|
|
|
|
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>><math|20>>|<cell|B<with|font|Hiragino Kaku
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Gothic ProN|\<#FF0E\>><math|40>>|<cell|C<with|font|Hiragino Kaku Gothic
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ProN|\<#FF0E\>><math|64>>|<cell|D<with|font|Hiragino Kaku Gothic
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ProN|\<#FF0E\>><math|80>>>>>>\
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5<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
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SC|\<#8BBE\>><math|a=log <rsub|2>0.3,b=log<rsub|<frac|1|2>>
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0.4,c=0.4<rsup|0.3>><with|font|Hiragino Kaku Gothic
|
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ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>><em|a><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>><em|b><with|font|Hiragino Kaku Gothic
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ProN|\<#FF0C\>><em|c><with|font|Songti SC|\<#7684\>\<#5927\>\<#5C0F\>\<#5173\>\<#7CFB\>\<#4E3A\>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>><math|a\<less\>b\<less\>c>>|<cell|B<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|c\<less\>a\<less\>b>>|<cell|C<with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>><math|b\<less\>c\<less\>a>
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>|<cell|D<with|font|Hiragino Kaku Gothic
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ProN|\<#FF0E\>><math|a\<less\>c\<less\>b>>>>>>\
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6<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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SC|\<#4E24\>\<#4E2A\>\<#5706\>\<#9525\>\<#7684\>\<#5E95\>\<#9762\>\<#662F\>\<#4E00\>\<#4E2A\>\<#7403\>\<#7684\>\<#540C\>\<#4E00\>\<#622A\>\<#9762\>><with|font|Hiragino
|
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
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SC|\<#9876\>\<#70B9\>\<#5747\>\<#5728\>\<#7403\>\<#9762\>\<#4E0A\>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
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SC|\<#82E5\>\<#7403\>\<#7684\>\<#4F53\>\<#79EF\>\<#4E3A\>><math|<frac|32*\<pi\>|3>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
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SC|\<#4E24\>\<#4E2A\>\<#5706\>\<#9525\>\<#7684\>\<#9AD8\>\<#4E4B\>\<#6BD4\>\<#4E3A\>><math|1:3><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
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SC|\<#5219\>\<#8FD9\>\<#4E24\>\<#4E2A\>\<#5706\>\<#9525\>\<#7684\>\<#4F53\>\<#79EF\>\<#4E4B\>\<#548C\>\<#4E3A\>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>><math|3*\<pi\>>>|<cell|B<with|font|Hiragino Kaku
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Gothic ProN|\<#FF0E\>><math|4*\<pi\>>>|<cell|C<with|font|Hiragino Kaku
|
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Gothic ProN|\<#FF0E\>><math|9*\<pi\>>>|<cell|D<with|font|Hiragino Kaku
|
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Gothic ProN|\<#FF0E\>><math|12*\<pi\>>>>>>>\
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7<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
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SC|\<#82E5\>><math|2<rsup|a>=5<rsup|b>=10><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>><math|<frac|1|a>+<frac|1|b>=><with|font|Hiragino
|
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Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
|
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|
<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>><math|-1>>|<cell|B<with|font|Hiragino Kaku
|
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Gothic ProN|\<#FF0E\>><math|lg 7>>|<cell|C<with|font|Hiragino Kaku Gothic
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ProN|\<#FF0E\>>1>|<cell|D<with|font|Hiragino Kaku Gothic
|
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ProN|\<#FF0E\>><math|log <rsub|7>10>>>>>>\
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8<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
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SC|\<#5DF2\>\<#77E5\>\<#53CC\>\<#66F2\>\<#7EBF\>><math|<frac|x<rsup|2>|a<rsup|2>>-<frac|y<rsup|2>|b<rsup|2>>=1*<around|(|a\<gtr\>0,b\<gtr\>0|)>><with|font|Songti
|
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SC|\<#7684\>\<#53F3\>\<#7126\>\<#70B9\>\<#4E0E\>\<#629B\>\<#7269\>\<#7EBF\>><math|y<rsup|2>=2*p*x*<around|(|p\<gtr\>0|)>><with|font|Songti
|
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SC|\<#7684\>\<#7126\>\<#70B9\>\<#91CD\>\<#5408\>><with|font|Hiragino Kaku
|
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Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#629B\>\<#7269\>\<#7EBF\>\<#7684\>\<#51C6\>\<#7EBF\>\<#4EA4\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#4E8E\>><em|A><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><em|B><with|font|Songti
|
|
SC|\<#4E24\>\<#70B9\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#4EA4\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#6E10\>\<#8FD1\>\<#7EBF\>\<#4E8E\>><em|C>\<#3001\><em|D><with|font|Songti
|
|
SC|\<#4E24\>\<#70B9\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#82E5\>><math|<around|\||C*D|\|>=<sqrt|2>*<around|\||A*B|\|>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5219\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
|
|
|
|
<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A<with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>><math|<sqrt|2>>>|<cell|B<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0E\>><math|<sqrt|3>>>|<cell|C<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0E\>>2>|<cell|D<with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>>3>>>>>\
|
|
|
|
9<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#8BBE\>><math|a\<in\><math-bf|R>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#51FD\>\<#6570\>><math|f<around*|(|x|)>=><choice|<tformat|<table|<row|<cell|<math|cos
|
|
<around|(|2*\<pi\>*x-2*\<pi\>*a|)>.>>|<cell|<math|x\<less\>a>>>|<row|<cell|<math|x<rsup|2>-2*<around|(|a+1|)>*x+a<rsup|2>+5,>>|<cell|<math|x\<geqslant\>a>>>>>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#82E5\>><math|f<around|(|x|)>><with|font|Songti
|
|
SC|\<#5728\>\<#533A\>\<#95F4\>><math|<around|(|0,+\<infty\>|)>><with|font|Songti
|
|
SC|\<#5185\>\<#6070\>\<#6709\>>6<with|font|Songti
|
|
SC|\<#4E2A\>\<#96F6\>\<#70B9\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>><em|a><with|font|Songti
|
|
SC|\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#662F\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF08\> \<#FF09\>>
|
|
|
|
<\wide-tabular>
|
|
<tformat|<table|<row|<\cell>
|
|
A. <math|<around*|(|2,<frac|9|4>|]>\<cup\><around*|(|<frac|5|2>,<frac|11|4>|]>>
|
|
</cell>|<\cell>
|
|
B. <math|<around*|(|<frac|7|4>,2|)>\<cup\><around*|(|<frac|5|2>,<frac|11|4>|]>>
|
|
</cell>|<\cell>
|
|
C. <math|<around*|(|2,<frac|9|4>|]>\<cup\><around*|[|<frac|11|4>,3|)>>
|
|
</cell>|<\cell>
|
|
D. <math|<around*|(|<frac|7|4>,2|)>\<cup\><around*|[|<frac|11|4>,3|)>>
|
|
</cell>>>>
|
|
</wide-tabular>
|
|
|
|
\
|
|
|
|
<with|font-series|bold|<with|font|Songti
|
|
SC|\<#4E8C\>>\<#3001\><with|font|Songti SC|\<#586B\>\<#7A7A\>\<#9898\>>>
|
|
|
|
10<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><math|i><with|font|Songti
|
|
SC|\<#662F\>\<#865A\>\<#6570\>\<#5355\>\<#4F4D\>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#590D\>\<#6570\>><math|<frac|9+2*i|2+i>=><underline|<space|2cm>>\<#FF0E\>
|
|
|
|
11<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5728\>><math|<around*|(|2*x<rsup|3>+<frac|1|x>|)><rsup|6>><with|font|Songti
|
|
SC|\<#7684\>\<#5C55\>\<#5F00\>\<#5F0F\>\<#4E2D\>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><math|x<rsup|6>><with|font|Songti
|
|
SC|\<#7684\>\<#7CFB\>\<#6570\>\<#662F\>><underline|<space|2cm>>\<#FF0E\>
|
|
|
|
12<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#82E5\>\<#659C\>\<#7387\>\<#4E3A\>><math|<sqrt|3>><with|font|Songti
|
|
SC|\<#7684\>\<#76F4\>\<#7EBF\>\<#4E0E\>><math|y><with|font|Songti
|
|
SC|\<#8F74\>\<#4EA4\>\<#4E8E\>\<#70B9\>><math|A><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#4E0E\>\<#5706\>><math|x<rsup|2>+<around|(|y-1|)><rsup|2>=1><with|font|Songti
|
|
SC|\<#76F8\>\<#5207\>\<#4E8E\>\<#70B9\>><math|B><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5219\>><math|<around|\||A*B|\|>=><underline|<space|2cm>>\<#FF0E\>
|
|
|
|
13<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#82E5\>><math|a\<gtr\>0,b\<gtr\>0><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#5219\>><math|<frac|1|a>+<frac|a|b<rsup|2>>+b><with|font|Songti
|
|
SC|\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\>><underline|<space|2cm>>\<#FF0E\>
|
|
|
|
<with|font-series|bold|<with|font|Songti
|
|
SC|\<#4E09\>>\<#3001\><with|font|Songti SC|\<#53CC\>\<#7A7A\>\<#9898\>>>
|
|
|
|
14<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#7532\>>\<#3001\><with|font|Songti
|
|
SC|\<#4E59\>\<#4E24\>\<#4EBA\>\<#5728\>\<#6BCF\>\<#6B21\>\<#731C\>\<#8C1C\>\<#6D3B\>\<#52A8\>\<#4E2D\>\<#5404\>\<#731C\>\<#4E00\>\<#4E2A\>\<#8C1C\>\<#8BED\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#82E5\>\<#4E00\>\<#65B9\>\<#731C\>\<#5BF9\>\<#4E14\>\<#53E6\>\<#4E00\>\<#65B9\>\<#731C\>\<#9519\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5219\>\<#731C\>\<#5BF9\>\<#7684\>\<#4E00\>\<#65B9\>\<#83B7\>\<#80DC\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5426\>\<#5219\>\<#672C\>\<#6B21\>\<#5E73\>\<#5C40\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5DF2\>\<#77E5\>\<#6BCF\>\<#6B21\>\<#6D3B\>\<#52A8\>\<#4E2D\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#7532\>>\<#3001\><with|font|Songti
|
|
SC|\<#4E59\>\<#731C\>\<#5BF9\>\<#7684\>\<#6982\>\<#7387\>\<#5206\>\<#522B\>\<#4E3A\>><math|<frac|5|6>><with|font|Songti
|
|
SC|\<#548C\>><math|<frac|1|5>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#4E14\>\<#6BCF\>\<#6B21\>\<#6D3B\>\<#52A8\>\<#4E2D\>\<#7532\>>\<#3001\><with|font|Songti
|
|
SC|\<#4E59\>\<#731C\>\<#5BF9\>\<#4E0E\>\<#5426\>\<#4E92\>\<#4E0D\>\<#5F71\>\<#54CD\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5404\>\<#6B21\>\<#6D3B\>\<#52A8\>\<#4E5F\>\<#4E92\>\<#4E0D\>\<#5F71\>\<#54CD\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5219\>\<#4E00\>\<#6B21\>\<#6D3B\>\<#52A8\>\<#4E2D\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#7532\>\<#83B7\>\<#80DC\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\>><underline|<space|2cm>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>>3<with|font|Songti
|
|
SC|\<#6B21\>\<#6D3B\>\<#52A8\>\<#4E2D\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#7532\>\<#81F3\>\<#5C11\>\<#83B7\>\<#80DC\>>2<with|font|Songti
|
|
SC|\<#6B21\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\>><underline|<space|2cm>>\<#FF0E\>
|
|
|
|
15<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5728\>\<#8FB9\>\<#957F\>\<#4E3A\>>1<with|font|Songti
|
|
SC|\<#7684\>\<#7B49\>\<#8FB9\>\<#4E09\>\<#89D2\>\<#5F62\>><em|ABC><with|font|Songti
|
|
SC|\<#4E2D\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><em|D><with|font|Songti SC|\<#4E3A\>\<#7EBF\>\<#6BB5\>><em|BC><with|font|Songti
|
|
SC|\<#4E0A\>\<#7684\>\<#52A8\>\<#70B9\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><math|D*E*\<bot\>*A*B><with|font|Songti
|
|
SC|\<#4E14\>\<#4EA4\>><em|AB><with|font|Songti
|
|
SC|\<#4E8E\>\<#70B9\>><em|E><with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>>
|
|
<math|D*F*<text|//>A*B><with|font|Songti
|
|
SC|\<#4E14\>\<#4EA4\>><em|AC><with|font|Songti
|
|
SC|\<#4E8E\>\<#70B9\>><em|F>,<with|font|Songti
|
|
SC|\<#5219\>><math|<around|\||2*<wide|B*E|\<wide-varrightarrow\>>+<wide|D*F|\<wide-varrightarrow\>>|\|>><with|font|Songti
|
|
SC|\<#7684\>\<#503C\>\<#4E3A\>><underline|<space|2cm>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF1B\>><math|<around|(|<wide|D*E|\<wide-varrightarrow\>>+<wide|D*F|\<wide-varrightarrow\>>|)>\<cdot\><wide|D*A|\<wide-varrightarrow\>>><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|\<#89E3\>\<#7B54\>\<#9898\>>>
|
|
|
|
16<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5728\>><math|\<triangle\>A*B*C><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#89D2\>><math|A,B,C><with|font|Songti
|
|
SC|\<#6240\>\<#5BF9\>\<#7684\>\<#8FB9\>\<#5206\>\<#522B\>\<#4E3A\>><math|a,b,c><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5DF2\>\<#77E5\>><math|sin A:sin B:sin
|
|
C=2:1:<sqrt|2>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><math|b=<sqrt|2>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>I<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#6C42\>><em|a><with|font|Songti SC|\<#7684\>\<#503C\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF1B\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>II<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti SC|\<#6C42\>><math|cos
|
|
C><with|font|Songti SC|\<#7684\>\<#503C\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF1B\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>III<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti SC|\<#6C42\>><math|sin
|
|
<around*|(|2*C-<frac|\<pi\>|6>|)>><with|font|Songti
|
|
SC|\<#7684\>\<#503C\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>><vspace|3cm>
|
|
|
|
17<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\>\<#68F1\>\<#957F\>\<#4E3A\>>2<with|font|Songti
|
|
SC|\<#7684\>\<#6B63\>\<#65B9\>\<#4F53\>><math|A*B*C*D-A<rsub|1>*B<rsub|1>*C<rsub|1>*D<rsub|1>><with|font|Songti
|
|
SC|\<#4E2D\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><em|E><with|font|Songti SC|\<#4E3A\>\<#68F1\>><em|BC><with|font|Songti
|
|
SC|\<#7684\>\<#4E2D\>\<#70B9\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><em|F><with|font|Songti SC|\<#4E3A\>\<#68F1\>><em|CD><with|font|Songti
|
|
SC|\<#7684\>\<#4E2D\>\<#70B9\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>>
|
|
|
|
<\center>
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</center>
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<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>I<with|font|Hiragino Kaku
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Gothic ProN|\<#FF09\>><with|font|Songti
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SC|\<#6C42\>\<#8BC1\>><with|font|Hiragino Kaku Gothic
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ProN|\<#FF1A\>><math|D<rsub|1>*F//><with|font|Songti
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SC|\<#5E73\>\<#9762\>><math|A<rsub|1>*E*C<rsub|1>><with|font|Hiragino Kaku
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Gothic ProN|\<#FF1B\>>
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<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>II<with|font|Hiragino Kaku
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Gothic ProN|\<#FF09\>><with|font|Songti
|
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SC|\<#6C42\>\<#76F4\>\<#7EBF\>><math|A*C<rsub|1>><with|font|Songti
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SC|\<#4E0E\>\<#5E73\>\<#9762\>><math|A<rsub|1>*E*C<rsub|1>><with|font|Songti
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SC|\<#6240\>\<#6210\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>><with|font|Hiragino
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Kaku Gothic ProN|\<#FF0E\>>
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<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>III<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#6C42\>\<#4E8C\>\<#9762\>\<#89D2\>><math|A-A<rsub|1>*C<rsub|1>-E><with|font|Songti
|
|
SC|\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\><vspace|3cm>>
|
|
|
|
18<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5DF2\>\<#77E5\>\<#692D\>\<#5706\>><math|<frac|x<rsup|2>|a<rsup|2>>+<frac|y<rsup|2>|b<rsup|2>>=1*<around|(|a\<gtr\>b\<gtr\>0|)>><with|font|Songti
|
|
SC|\<#7684\>\<#53F3\>\<#7126\>\<#70B9\>\<#4E3A\>><math|F><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#4E0A\>\<#9876\>\<#70B9\>\<#4E3A\>><math|B><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\>><math|<frac|2*<sqrt|5>|5>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#4E14\>><math|<around|\||B*F|\|>=<sqrt|5>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0E\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>1<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#6C42\>\<#692D\>\<#5706\>\<#7684\>\<#65B9\>\<#7A0B\>><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|\<#76F4\>\<#7EBF\>><math|l><with|font|Songti
|
|
SC|\<#4E0E\>\<#692D\>\<#5706\>\<#6709\>\<#552F\>\<#4E00\>\<#7684\>\<#516C\>\<#5171\>\<#70B9\>><math|M><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#4E0E\>><math|y><with|font|Songti SC|\<#8F74\>\<#7684\>\<#6B63\>\<#534A\>\<#8F74\>\<#4EA4\>\<#4E8E\>\<#70B9\>><math|N><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#8FC7\>><math|N><with|font|Songti SC|\<#4E0E\>><math|B*F><with|font|Songti
|
|
SC|\<#5782\>\<#76F4\>\<#7684\>\<#76F4\>\<#7EBF\>\<#4EA4\>><math|x><with|font|Songti
|
|
SC|\<#8F74\>\<#4E8E\>\<#70B9\>><math|P><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>><with|font|Songti SC|\<#82E5\>><math|M*P*<text|//>B*F><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#6C42\>\<#76F4\>\<#7EBF\>><math|l><with|font|Songti
|
|
SC|\<#7684\>\<#65B9\>\<#7A0B\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>><vspace|3cm>
|
|
|
|
19<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5DF2\>\<#77E5\>><math|<around*|{|a<rsub|n>|}>><with|font|Songti
|
|
SC|\<#662F\>\<#516C\>\<#5DEE\>\<#4E3A\>>2<with|font|Songti
|
|
SC|\<#7684\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><with|font|Songti
|
|
SC|\<#5176\>\<#524D\>>8<with|font|Songti
|
|
SC|\<#9879\>\<#548C\>\<#4E3A\>>64<with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0E\>><math|<around*|{|b<rsub|n>|}>><with|font|Songti
|
|
SC|\<#662F\>\<#516C\>\<#6BD4\>\<#5927\>\<#4E8E\>>0<with|font|Songti
|
|
SC|\<#7684\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0C\>><math|b<rsub|1>=4,b<rsub|3>-b<rsub|2>=48><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>I<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#6C42\>><math|<around*|{|a<rsub|n>|}>><with|font|Songti
|
|
SC|\<#548C\>><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\>>II<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#8BB0\>><math|c<rsub|n>=b<rsub|2*n>+<frac|1|b<rsub|n>>,n\<in\>N<rsup|\<ast\>>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0C\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>i<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#8BC1\>\<#660E\>><math|<around*|{|c<rsub|n><rsup|2>-c<rsub|2*n>|}>><with|font|Songti
|
|
SC|\<#662F\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF1B\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>ii<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#8BC1\>\<#660E\>><math|<big|sum><rsub|k=1><rsup|n><sqrt|<frac|a<rsub|k>*a<rsub|k+1>|c<rsub|k><rsup|2>-c<rsub|2*k>>>\<less\>2*<sqrt|2>*<around*|(|n\<in\>N<rsup|\<ast\>>|)>>.<vspace|3cm>
|
|
|
|
20<with|font|Hiragino Kaku Gothic ProN|\<#FF0E\>><with|font|Songti
|
|
SC|\<#5DF2\>\<#77E5\>><math|a\<gtr\>0><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#51FD\>\<#6570\>><math|f<around|(|x|)>=a*x-x*e<rsup|x>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF0E\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>I<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#6C42\>\<#66F2\>\<#7EBF\>><math|y=f<around|(|x|)>><with|font|Songti
|
|
SC|\<#5728\>\<#70B9\>><math|<around*|(|0,f<around*|(|0|)>|)>><with|font|Songti
|
|
SC|\<#5904\>\<#7684\>\<#5207\>\<#7EBF\>\<#65B9\>\<#7A0B\>><with|font|Hiragino
|
|
Kaku Gothic ProN|\<#FF1A\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>II<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#8BC1\>\<#660E\>><math|f<around|(|x|)>><with|font|Songti
|
|
SC|\<#5B58\>\<#5728\>\<#552F\>\<#4E00\>\<#7684\>\<#6781\>\<#503C\>\<#70B9\>>
|
|
|
|
<with|font|Hiragino Kaku Gothic ProN|\<#FF08\>>III<with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF09\>><with|font|Songti
|
|
SC|\<#82E5\>\<#5B58\>\<#5728\>><em|a><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#4F7F\>\<#5F97\>><math|f<around|(|x|)>\<leq\>a+b><with|font|Songti
|
|
SC|\<#5BF9\>\<#4EFB\>\<#610F\>><math|x\<in\>R><with|font|Songti
|
|
SC|\<#6210\>\<#7ACB\>><with|font|Hiragino Kaku Gothic
|
|
ProN|\<#FF0C\>><with|font|Songti SC|\<#6C42\>\<#5B9E\>\<#6570\>><em|b><with|font|Songti
|
|
SC|\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>><with|font|Hiragino Kaku
|
|
Gothic ProN|\<#FF0E\> ><vspace|3cm>
|
|
</body>
|
|
|
|
<\initial>
|
|
<\collection>
|
|
<associate|page-medium|paper>
|
|
</collection>
|
|
</initial> |