mirror of https://gitee.com/XmacsLabs/planet.git
178 lines
100 KiB
Tcl
178 lines
100 KiB
Tcl
<TeXmacs|2.1.2>
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<style|<tuple|exam|std-latex|chinese>>
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<\body>
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<doc-data|<doc-title|2022\<#5E74\>\<#6570\>\<#5B66\>\<#5168\>\<#56FD\>\<#7532\>\<#5377\>\<#FF08\>\<#7406\>\<#79D1\>\<#FF09\>>>
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<strong|\<#4E00\>\<#3001\>\<#5355\>\<#9009\>\<#9898\>>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>12\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>60\<#5206\>\<#FF09\>
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<\enumerate-numeric>
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<item>\<#82E5\><math|z=-1+<sqrt|3><math-up|i>>\<#FF0C\>\<#5219\><math|<frac|z|z<wide|z|\<bar\>>-1>=>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|-1+<sqrt|3><math-up|i>>>|<cell|B.
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<math|-1-<sqrt|3><math-up|i>>>|<cell|C.
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<math|-<frac|1|3>+<frac|<sqrt|3>|3><math-up|i>>>|<cell|D.
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<math|-<frac|1|3>-<frac|<sqrt|3>|3><math-up|i>>>>>>>
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<item>\<#67D0\>\<#793E\>\<#533A\>\<#901A\>\<#8FC7\>\<#516C\>\<#76CA\>\<#8BB2\>\<#5EA7\>\<#4EE5\>\<#666E\>\<#53CA\>\<#793E\>\<#533A\>\<#5C45\>\<#6C11\>\<#7684\>\<#5783\>\<#573E\>\<#5206\>\<#7C7B\>\<#77E5\>\<#8BC6\>\<#FF0E\>\<#4E3A\>\<#4E86\>\<#89E3\>\<#8BB2\>\<#5EA7\>\<#6548\>\<#679C\>\<#FF0C\>\<#968F\>\<#673A\>\<#62BD\>\<#53D6\><math|10>\<#4F4D\>\<#793E\>\<#533A\>\<#5C45\>\<#6C11\>\<#FF0C\>\<#8BA9\>\<#4ED6\>\<#4EEC\>\<#5728\>\<#8BB2\>\<#5EA7\>\<#524D\>\<#548C\>\<#8BB2\>\<#5EA7\>\<#540E\>\<#5404\>\<#56DE\>\<#7B54\>\<#4E00\>\<#4EFD\>\<#5783\>\<#573E\>\<#5206\>\<#7C7B\>\<#77E5\>\<#8BC6\>\<#95EE\>\<#5377\>\<#FF0C\>\<#8FD9\><math|10>\<#4F4D\>\<#793E\>\<#533A\>\<#5C45\>\<#6C11\>\<#5728\>\<#8BB2\>\<#5EA7\>\<#524D\>\<#548C\>\<#8BB2\>\<#5EA7\>\<#540E\>\<#95EE\>\<#5377\>\<#7B54\>\<#9898\>\<#7684\>\<#6B63\>\<#786E\>\<#7387\>\<#5982\>\<#4E0B\>\<#56FE\>\<#FF1A\>
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\<#5219\>
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A. \<#8BB2\>\<#5EA7\>\<#524D\>\<#95EE\>\<#5377\>\<#7B54\>\<#9898\>\<#7684\>\<#6B63\>\<#786E\>\<#7387\>\<#7684\>\<#4E2D\>\<#4F4D\>\<#6570\>\<#5C0F\>\<#4E8E\><math|70><with|font-family|rm|\<#FF05\>>
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B. \<#8BB2\>\<#5EA7\>\<#540E\>\<#95EE\>\<#5377\>\<#7B54\>\<#9898\>\<#7684\>\<#6B63\>\<#786E\>\<#7387\>\<#7684\>\<#5E73\>\<#5747\>\<#6570\>\<#5927\>\<#4E8E\><math|85><with|font-family|rm|\<#FF05\>>
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C. \<#8BB2\>\<#5EA7\>\<#524D\>\<#95EE\>\<#5377\>\<#7B54\>\<#9898\>\<#7684\>\<#6B63\>\<#786E\>\<#7387\>\<#7684\>\<#6807\>\<#51C6\>\<#5DEE\>\<#5C0F\>\<#4E8E\>\<#8BB2\>\<#5EA7\>\<#540E\>\<#6B63\>\<#786E\>\<#7387\>\<#7684\>\<#6807\>\<#51C6\>\<#5DEE\>
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D. \<#8BB2\>\<#5EA7\>\<#540E\>\<#95EE\>\<#5377\>\<#7B54\>\<#9898\>\<#7684\>\<#6B63\>\<#786E\>\<#7387\>\<#7684\>\<#6781\>\<#5DEE\>\<#5927\>\<#4E8E\>\<#8BB2\>\<#5EA7\>\<#524D\>\<#6B63\>\<#786E\>\<#7387\>\<#7684\>\<#6781\>\<#5DEE\>
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<item>\<#8BBE\>\<#5168\>\<#96C6\><math|U=<around|{|-2,-1,0,1,2,3|}>>\<#FF0C\>\<#96C6\>\<#5408\><math|A=<around|{|-1,2|}>,B=<around*|{|x\<mid\>x<rsup|2>-4*x+3=0|}>>\<#FF0C\>\<#5219\><math|\<complement\><rsub|U>*<around|(|A\<cup\>B|)>=>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|<around|{|1,3|}>>>|<cell|B. <math|<around|{|0,3|}>>>|<cell|C.
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<math|<around|{|-2,1|}>>>|<cell|D. <math|<around|{|-2,0|}>>>>>>>
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<item>\<#5982\>\<#56FE\>\<#FF0C\>\<#7F51\>\<#683C\>\<#7EB8\>\<#4E0A\>\<#7ED8\>\<#5236\>\<#7684\>\<#662F\>\<#4E00\>\<#4E2A\>\<#591A\>\<#9762\>\<#4F53\>\<#7684\>\<#4E09\>\<#89C6\>\<#56FE\>\<#FF0C\>\<#7F51\>\<#683C\>\<#5C0F\>\<#6B63\>\<#65B9\>\<#5F62\>\<#7684\>\<#8FB9\>\<#957F\>\<#4E3A\><math|1>\<#FF0C\>\<#5219\>\<#8BE5\>\<#591A\>\<#9762\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#4E3A\>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|8>>|<cell|B. <math|12>>|<cell|C. <math|16>>|<cell|D. <math|20>>>>>>
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<item>\<#51FD\>\<#6570\><math|y=<around*|(|3<rsup|x>-3<rsup|-x>|)><math-up|cos>
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x>\<#5728\>\<#533A\>\<#95F4\><math|<around*|[|-<frac|\<pi\>|2>,<frac|\<pi\>|2>|]>>\<#7684\>\<#56FE\>\<#8C61\>\<#5927\>\<#81F4\>\<#4E3A\>
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<item>\<#5F53\><math|x=1>\<#65F6\>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=a<math-up|ln>x+<frac|b|x>>\<#53D6\>\<#5F97\>\<#6700\>\<#5927\>\<#503C\><math|-2>\<#FF0C\>\<#5219\><math|f<rprime|'><around*|(|2|)>=>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|-1>>|<cell|B. <math|-<frac|1|2>>>|<cell|C.
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<math|<frac|1|2>>>|<cell|D. <math|1>>>>>>
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<item>\<#5728\>\<#957F\>\<#65B9\>\<#4F53\><math|A*B*C*D-A<rsub|1>*B<rsub|1>*C<rsub|1>*D<rsub|1>>\<#4E2D\>\<#FF0C\>\<#5DF2\>\<#77E5\><math|B<rsub|1>*D>\<#4E0E\>\<#5E73\>\<#9762\><math|A*B*C*D>\<#548C\>\<#5E73\>\<#9762\><math|A*A<rsub|1>*B<rsub|1>*B>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#5747\>\<#4E3A\><math|30<rsup|\<circ\>>>\<#FF0C\>\<#5219\>
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A. <math|A*B=2*A*D>
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B. <math|A*B>\<#4E0E\>\<#5E73\>\<#9762\><math|A*B<rsub|1>*C<rsub|1>*D>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#4E3A\><math|30<rsup|\<circ\>>>
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C. <math|A*C=C*B<rsub|1>>
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D. <math|B<rsub|1>*D>\<#4E0E\>\<#5E73\>\<#9762\><math|B*B<rsub|1>*C<rsub|1>*C>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#4E3A\><math|45<rsup|\<circ\>>>
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<item>\<#6C88\>\<#62EC\>\<#7684\><with|font-family|rm|\<#300A\>>\<#68A6\>\<#6EAA\>\<#7B14\>\<#8C08\><with|font-family|rm|\<#300B\>>\<#662F\>\<#4E2D\>\<#56FD\>\<#53E4\>\<#4EE3\>\<#79D1\>\<#6280\>\<#53F2\>\<#4E0A\>\<#7684\>\<#6770\>\<#4F5C\>\<#FF0C\>\<#5176\>\<#4E2D\>\<#6536\>\<#5F55\>\<#4E86\>\<#8BA1\>\<#7B97\>\<#5706\>\<#5F27\>\<#957F\>\<#5EA6\>\<#7684\>``\<#4F1A\>\<#5706\>\<#672F\>''\<#FF0C\>\<#5982\>\<#56FE\>\<#FF0C\><math|<wide|A*B|\<invbreve\>>>\<#662F\>\<#4EE5\><math|O>\<#4E3A\>\<#5706\>\<#5FC3\>\<#FF0C\><math|O*A>\<#4E3A\>\<#534A\>\<#5F84\>\<#7684\>\<#5706\>\<#5F27\>\<#FF0C\><math|C>\<#662F\>\<#7684\><math|A*B>\<#4E2D\>\<#70B9\>\<#FF0C\><math|D>\<#5728\><math|<wide|A*B|\<invbreve\>>>\<#4E0A\>\<#FF0C\>``\<#4F1A\>\<#5706\>\<#672F\>''\<#7ED9\>\<#51FA\><math|<wide|A*B|\<invbreve\>>>\<#7684\>\<#5F27\>\<#957F\>\<#7684\>\<#8FD1\>\<#4F3C\>\<#503C\><math|s>\<#7684\>\<#8BA1\>\<#7B97\>\<#516C\>\<#5F0F\>\<#FF1A\><math|s=A*B+<frac|C*D<rsup|2>|O*A>>.\<#5F53\><math|O
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A=2,\<angle\>A O B=60<rsup|\<circ\>>>\<#65F6\>\<#FF0C\><math|s=>
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<image|<tuple|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|png>|80pt|70pt||>
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<tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A.
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<math|<frac|11-3*<sqrt|3>|2>>>|<cell|B.
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<math|<frac|11-4*<sqrt|3>|2>>>|<cell|C.
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<math|<frac|9-3*<sqrt|3>|2>>>|<cell|D. <math|<frac|9-4*<sqrt|3>|2>>>>>>>
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<item>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#4E2A\>\<#5706\>\<#9525\>\<#7684\>\<#6BCD\>\<#7EBF\>\<#957F\>\<#76F8\>\<#7B49\>\<#FF0C\>\<#4FA7\>\<#9762\>\<#5C55\>\<#5F00\>\<#56FE\>\<#7684\>\<#5706\>\<#5FC3\>\<#89D2\>\<#4E4B\>\<#548C\>\<#4E3A\><math|2*\<pi\>>\<#FF0C\>\<#4FA7\>\<#9762\>\<#79EF\>\<#5206\>\<#522B\>\<#4E3A\><math|S<rsub|<math-up|\<#7532\>>>>\<#548C\><math|S<rsub|<math-up|\<#4E59\>>>>\<#FF0C\>\<#4F53\>\<#79EF\>\<#5206\>\<#522B\>\<#4E3A\><math|V<rsub|<math-up|\<#7532\>>>>\<#548C\><math|V<rsub|<math-up|\<#4E59\>>>>.\<#82E5\><math|<frac|S<rsub|<math-up|\<#7532\>>>|S<rsub|<math-up|\<#4E59\>>>><with|math-font-family|rm|=>2>\<#FF0C\>\<#5219\><math|<frac|V<rsub|<math-up|\<#7532\>>>|V<rsub|<math-up|\<#4E59\>>>><with|math-font-family|rm|=>>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|<sqrt|5>>>|<cell|B. <math|2*<sqrt|2>>>|<cell|C.
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<math|<sqrt|10>>>|<cell|D. <math|<frac|5*<sqrt|10>|4>>>>>>>
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<item>\<#692D\>\<#5706\><math|C:<frac|x<rsup|2>|a<rsup|2>>+<frac|y<rsup|2>|b<rsup|2>>=1*<around|(|a\<gtr\>b\<gtr\>0|)>>\<#7684\>\<#5DE6\>\<#9876\>\<#70B9\>\<#4E3A\><math|A>\<#FF0C\>\<#70B9\><math|P>\<#FF0C\><math|Q>\<#5747\>\<#5728\><math|C>\<#4E0A\>\<#FF0C\>\<#4E14\>\<#5173\>\<#4E8E\><math|y>\<#8F74\>\<#5BF9\>\<#79F0\>\<#FF0E\>\<#82E5\>\<#76F4\>\<#7EBF\><math|A*P,A*Q>\<#7684\>\<#659C\>\<#7387\>\<#4E4B\>\<#79EF\>\<#4E3A\><math|<frac|1|4>>\<#FF0C\>\<#5219\><math|C>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|<frac|<sqrt|3>|2>>>|<cell|B. <math|<frac|<sqrt|2>|2>>>|<cell|C.
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<math|<frac|1|2>>>|<cell|D. <math|<frac|1|3>>>>>>>
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<item>\<#8BBE\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=<math-up|sin><around*|(|\<omega\>*x+<frac|\<pi\>|3>|)>>\<#5728\>\<#533A\>\<#95F4\><math|<around|(|0,\<pi\>|)>>\<#6070\>\<#6709\>\<#4E09\>\<#4E2A\>\<#6781\>\<#503C\>\<#70B9\>\<#3001\>\<#4E24\>\<#4E2A\>\<#96F6\>\<#70B9\>\<#FF0C\>\<#5219\><math|\<omega\>>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#662F\>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|<around*|[|<frac|5|3>,<frac|13|6>|)>>>|<cell|B.
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<math|<around*|[|<frac|5|3>,<frac|19|6>|)>>>|<cell|C.
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<math|<around*|(|<frac|13|6>,<frac|8|3>|]>>>|<cell|D.
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<math|<around*|(|<frac|13|6>,<frac|19|6>|]>>>>>>>
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<item>\<#5DF2\>\<#77E5\><math|a=<frac|31|32>,b=<math-up|cos><frac|1|4>,c=4<math-up|sin><frac|1|4>>\<#FF0C\>\<#5219\>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
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<math|c\<gtr\>b\<gtr\>a>>|<cell|B. <math|b\<gtr\>a\<gtr\>c>>|<cell|C.
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<math|a\<gtr\>b\<gtr\>c>>|<cell|D. <math|a\<gtr\>c\<gtr\>b>>>>>>
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</enumerate-numeric>
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\<#4E8C\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>4\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>20\<#5206\>\<#FF09\>
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<\enumerate-numeric>
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<assign|item-nr|12><item>\<#8BBE\>\<#5411\>\<#91CF\><math|<wide|a|\<wide-varrightarrow\>>>\<#FF0C\><math|<wide|b|\<wide-varrightarrow\>>>\<#7684\>\<#5939\>\<#89D2\>\<#7684\>\<#4F59\>\<#5F26\>\<#503C\>\<#4E3A\><math|<frac|1|3>>\<#FF0C\>\<#4E14\><math|<around*|\||<wide|a|\<wide-varrightarrow\>>|\|>=1>\<#FF0C\><math|<around*|\||<wide|a|\<wide-varrightarrow\>>|\|>=3>\<#FF0C\>\<#5219\><math|<around*|(|2*<wide|a|\<wide-varrightarrow\>>+<wide|b|\<wide-varrightarrow\>>|)>\<cdot\><wide|b|\<wide-varrightarrow\>>=><underline|<space|2cm>>\<#FF0E\>
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<item>\<#82E5\>\<#53CC\>\<#66F2\>\<#7EBF\><math|y<rsup|2>-<frac|x<rsup|2>|m<rsup|2>>=1*<around|(|m\<gtr\>0|)>>\<#7684\>\<#6E10\>\<#8FD1\>\<#7EBF\>\<#4E0E\>\<#5706\><math|x<rsup|2>+y<rsup|2>-4*y+3=0>\<#76F8\>\<#5207\>\<#FF0C\>\<#5219\><math|m=><underline|<space|2cm>>\<#FF0E\>
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<item>\<#4ECE\>\<#6B63\>\<#65B9\>\<#4F53\>\<#7684\><math|8>\<#4E2A\>\<#9876\>\<#70B9\>\<#4E2D\>\<#4EFB\>\<#9009\><math|4>\<#4E2A\>\<#FF0C\>\<#5219\>\<#8FD9\><math|4>\<#4E2A\>\<#70B9\>\<#5728\>\<#540C\>\<#4E00\>\<#4E2A\>\<#5E73\>\<#9762\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\>
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<underline|<space|2cm>>\<#FF0E\>
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<item>\<#5DF2\>\<#77E5\><math|\<vartriangle\>*A*B*C>\<#4E2D\>\<#FF0C\>\<#70B9\><math|D>\<#5728\>\<#8FB9\><math|B*C>\<#4E0A\>\<#FF0C\><math|\<angle\>*A*D*B=120<rsup|\<circ\>>,A*D=2,C*D=2*B*D>.\<#5F53\><math|<frac|A*C|A*B>>\<#53D6\>\<#5F97\>\<#6700\>\<#5C0F\>\<#503C\>\<#65F6\>\<#FF0C\><math|B*D=><underline|<space|2cm>>\<#FF0E\>
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</enumerate-numeric>
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\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>7\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>80\<#5206\>\<#FF09\>
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\ (\<#4E00\>) \ \<#5FC5\>\<#8003\>\<#9898\>\<#FF1A\>\<#5171\> 60 \<#5206\>.
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<\enumerate-numeric>
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<assign|item-nr|16><item>\<#8BB0\><math|S<rsub|n>>\<#4E3A\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#FF0E\>\<#5DF2\>\<#77E5\><math|<frac|2*S<rsub|n>|n>+n=2*a<rsub|n>+1>\<#FF0E\>
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(1)\<#8BC1\>\<#660E\>\<#FF1A\><math|<around*|{|a<rsub|n>|}>>\<#662F\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\>\<#FF1B\>
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(2)\<#82E5\><math|a<rsub|4>,a<rsub|7>,a<rsub|9>>\<#6210\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>\<#FF0C\>\<#6C42\><math|S<rsub|n>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#FF0E\><vspace|5cm>
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<item>\<#5728\>\<#56DB\>\<#68F1\>\<#9525\><math|P-A*B*C*D>\<#4E2D\>\<#FF0C\><math|P*D*\<bot\>>\<#5E95\>\<#9762\><math|A*B*C*D,C*D//A*B,A*D=D*C=C*B=1,A*B=2,D*P=<sqrt|3>>\<#FF0E\>
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(1)\<#8BC1\>\<#660E\>\<#FF1A\><math|B*D*\<bot\>*P*A>\<#FF1B\>
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(2)\<#6C42\><math|P*D>\<#4E0E\>\<#5E73\>\<#9762\><math|P*A*B>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>\<#FF0E\>
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<item>\<#8BBE\>\<#629B\>\<#7269\>\<#7EBF\><math|C:y<rsup|2>=2*p*x*<around|(|p\<gtr\>0|)>>\<#7684\>\<#7126\>\<#70B9\>\<#4E3A\><math|F>\<#FF0C\>\<#70B9\><math|D*<around|(|p,0|)>>\<#FF0C\>\<#8FC7\><math|F>\<#7684\>\<#76F4\>\<#7EBF\>\<#4EA4\><math|C>\<#4E8E\><math|M>\<#FF0C\><math|N>\<#4E24\>\<#70B9\>\<#FF0E\>\<#5F53\>\<#76F4\>\<#7EBF\><math|M*D>\<#5782\>\<#76F4\>\<#4E8E\><math|x>\<#8F74\>\<#65F6\>\<#FF0C\><math|<around|\||M*F|\|>=3>\<#FF0E\>
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(1)\<#6C42\><math|C>\<#7684\>\<#65B9\>\<#7A0B\>\<#FF1B\>
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(2)\<#8BBE\>\<#76F4\>\<#7EBF\><math|M*D,N*D>\<#4E0E\><math|C>\<#7684\>\<#53E6\>\<#4E00\>\<#4E2A\>\<#4EA4\>\<#70B9\>\<#5206\>\<#522B\>\<#4E3A\><math|A>\<#FF0C\><math|B>\<#FF0C\>\<#8BB0\>\<#76F4\>\<#7EBF\><math|M*N,A*B>\<#7684\>\<#503E\>\<#659C\>\<#89D2\>\<#5206\>\<#522B\>\<#4E3A\><math|\<alpha\>,\<beta\>>.\<#5F53\><math|\<alpha\>-\<beta\>>\<#53D6\>\<#5F97\>\<#6700\>\<#5927\>\<#503C\>\<#65F6\>\<#FF0C\>\<#6C42\>\<#76F4\>\<#7EBF\><math|A*B>\<#7684\>\<#65B9\>\<#7A0B\>\<#FF0E\><vspace|5cm>
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<item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=<frac|e<rsup|x>|x>-<math-up|ln>x+x-a>\<#FF0E\>
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(1)\<#82E5\><math|f<around*|(|x|)>\<ge\>0>\<#FF0C\>\<#6C42\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#FF1B\>
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(2)\<#8BC1\>\<#660E\>\<#FF1A\>\<#82E5\><math|f<around*|(|x|)>>\<#6709\>\<#4E24\>\<#4E2A\>\<#96F6\>\<#70B9\><math|x<rsub|1>,x<rsub|2>>\<#FF0C\>\<#5219\><math|x<rsub|1>*x<rsub|2>\<less\>1>\<#FF0E\><vspace|5cm>
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\;
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</enumerate-numeric>
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(\<#4E8C\>) \<#9009\>\<#8003\>\<#9898\>\<#FF1A\>\<#5171\> 10 \<#5206\>
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<\enumerate>
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<assign|item-nr|21><item>\<#5728\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#7CFB\><math|x*O*y>\<#4E2D\>\<#FF0C\>\<#66F2\>\<#7EBF\><math|C<rsub|1>>\<#7684\>\<#53C2\>\<#6570\>\<#65B9\>\<#7A0B\>\<#4E3A\><math|<around*|{|<tabular*|<tformat|<cwith|1|-1|1|1|cell-halign|l>|<cwith|1|-1|1|1|cell-lborder|0ln>|<cwith|1|-1|1|1|cell-rborder|0ln>|<table|<row|<cell|x=<frac|2+t|6>>>|<row|<cell|y=<sqrt|t>>>>>>|\<nobracket\>>(t>\<#4E3A\>\<#53C2\>\<#6570\><math|>)\<#FF0C\>\<#66F2\>\<#7EBF\><math|C<rsub|2>>\<#7684\>\<#53C2\>\<#6570\>\<#65B9\>\<#7A0B\>\<#4E3A\><math|<around*|{|<tabular*|<tformat|<cwith|1|-1|1|1|cell-halign|l>|<cwith|1|-1|1|1|cell-lborder|0ln>|<cwith|1|-1|1|1|cell-rborder|0ln>|<table|<row|<cell|x=-<frac|2+s|6>>>|<row|<cell|y=-<sqrt|s>>>>>>|\<nobracket\>>(s>\<#4E3A\>\<#53C2\>\<#6570\><math|>)\<#FF0E\>
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(1)\<#5199\>\<#51FA\><math|C<rsub|1>>\<#7684\>\<#666E\>\<#901A\>\<#65B9\>\<#7A0B\>\<#FF1B\>
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(2)\<#4EE5\>\<#5750\>\<#6807\>\<#539F\>\<#70B9\>\<#4E3A\>\<#6781\>\<#70B9\>\<#FF0C\><math|x>\<#8F74\>\<#6B63\>\<#534A\>\<#8F74\>\<#4E3A\>\<#6781\>\<#8F74\>\<#5EFA\>\<#7ACB\>\<#6781\>\<#5750\>\<#6807\>\<#7CFB\>\<#FF0C\>\<#66F2\>\<#7EBF\><math|C<rsub|3>>\<#7684\>\<#6781\>\<#5750\>\<#6807\>\<#65B9\>\<#7A0B\>\<#4E3A\><math|2<math-up|cos>\<theta\>-<math-up|sin>\<theta\>=0>\<#FF0C\>\<#6C42\><math|C<rsub|3>>\<#4E0E\><math|C<rsub|1>>\<#4EA4\>\<#70B9\>\<#7684\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#FF0C\>\<#53CA\><math|C<rsub|3>>\<#4E0E\><math|C<rsub|2>>\<#4EA4\>\<#70B9\>\<#7684\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#FF0E\><vspace|5cm>
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<item>\<#5DF2\>\<#77E5\><math|a>\<#FF0C\><math|b>\<#FF0C\><math|c>\<#5747\>\<#4E3A\>\<#6B63\>\<#6570\>\<#FF0C\>\<#4E14\><math|a<rsup|2>+b<rsup|2>+4*c<rsup|2>=3>\<#FF0C\>\<#8BC1\>\<#660E\>\<#FF1A\>
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(1)<math|a+b+2*c\<le\>3>\<#FF1B\>
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(2)\<#82E5\><math|b=2*c>\<#FF0C\>\<#5219\><math|<frac|1|a>+<frac|1|c>\<ge\>3>\<#FF0E\><vspace|5cm>
|
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</enumerate>
|
|
</body>
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<initial|<\collection>
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</collection>> |