mirror of https://gitee.com/XmacsLabs/planet.git
179 lines
84 KiB
Tcl
179 lines
84 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\>\<#6587\>\<#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>\<#8BBE\>\<#96C6\>\<#5408\><math|A=<around|{|-2,-1,0,1,2|}>>\<#FF0C\><math|B=<around|{|x\|0\<leq\>x\<less\><frac|5|2>|}>>\<#FF0C\>\<#5219\><math|A\<cap\>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|{|0,1,2|}>>>|<cell|B. <math|<around|{|-2,-1,0|}>>>|<cell|C.
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<math|<around|{|0,1|}>>>|<cell|D. <math|<around|{|1,2|}>>>>>>>
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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>\<#82E5\><math|z=1+i>\<#FF0C\>\<#5219\><math|<around|\||i*z+3*<wide|z|\<bar\>>|\|>=>
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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|4*<sqrt|5>>>|<cell|B. <math|4*<sqrt|2>>>|<cell|C.
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<math|2*<sqrt|5>>>|<cell|D. <math|2*<sqrt|2>>>>>>>
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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>\<#5C06\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=<math-up|sin><around|(|\<omega\>*x+<frac|\<pi\>|3>|)>*<around|(|\<omega\>\<gtr\>0|)>>\<#7684\>\<#56FE\>\<#50CF\>\<#5411\>\<#5DE6\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|2>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>\<#540E\>\<#5F97\>\<#5230\>\<#66F2\>\<#7EBF\><math|C>\<#FF0C\>\<#82E5\><math|C>\<#5173\>\<#4E8E\><math|y>\<#8F74\>\<#5BF9\>\<#79F0\>\<#FF0C\>\<#5219\><math|\<omega\>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#662F\>
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<tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A.
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<math|<frac|1|6>>>|<cell|B. <math|<frac|1|4>>>|<cell|C.
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<math|<frac|1|3>>>|<cell|D. <math|<frac|1|2>>>>>>>
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<item>\<#4ECE\>\<#5206\>\<#522B\>\<#5199\>\<#6709\><math|1>\<#FF0C\><math|2>\<#FF0C\><math|3>\<#FF0C\><math|4>\<#FF0C\><math|5>\<#FF0C\><math|6>\<#7684\><math|6>\<#5F20\>\<#5361\>\<#7247\>\<#4E2D\>\<#65E0\>\<#653E\>\<#56DE\>\<#968F\>\<#673A\>\<#62BD\>\<#53D6\><math|2>\<#5F20\>\<#FF0C\>\<#5219\>\<#62BD\>\<#5230\>\<#7684\><math|2>\<#5F20\>\<#5361\>\<#7247\>\<#4E0A\>\<#7684\>\<#6570\>\<#5B57\>\<#4E4B\>\<#79EF\>\<#662F\><math|4>\<#7684\>\<#500D\>\<#6570\>\<#7684\>\<#6982\>\<#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|1|5>>>|<cell|B. <math|<frac|1|3>>>|<cell|C.
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<math|<frac|2|5>>>|<cell|D. <math|<frac|2|3>>>>>>>
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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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A.<image|<tuple|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|png>|98pt|70pt||>
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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>\<#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|<with|math-font-family|rm|font-family|rm|\<#7532\>>>>\<#548C\><math|S<rsub|<with|math-font-family|rm|font-family|rm|\<#4E59\>>>>\<#FF0C\>\<#4F53\>\<#79EF\>\<#5206\>\<#522B\>\<#4E3A\><math|V<rsub|<with|math-font-family|rm|font-family|rm|\<#7532\>>>>\<#548C\><math|V<rsub|<with|math-font-family|rm|font-family|rm|\<#4E59\>>>>.\<#82E5\><math|<frac|S<rsub|<with|math-font-family|rm|font-family|rm|\<#7532\>>>|S<rsub|<with|math-font-family|rm|font-family|rm|\<#4E59\>>>><with|math-font-family|rm|=>2>\<#FF0C\>\<#5219\><math|<frac|V<rsub|<with|math-font-family|rm|font-family|rm|\<#7532\>>>|V<rsub|<with|math-font-family|rm|font-family|rm|\<#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>\<#5DF2\>\<#77E5\>\<#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\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\><math|<frac|1|3>>\<#FF0C\><math|A<rsub|1>>\<#FF0C\><math|A<rsub|2>>\<#5206\>\<#522B\>\<#4E3A\><math|C>\<#7684\>\<#5DE6\>\<#3001\>\<#53F3\>\<#9876\>\<#70B9\>\<#FF0C\><math|B>\<#4E3A\><math|C>\<#7684\>\<#4E0A\>\<#9876\>\<#70B9\>.\<#82E5\><math|<wide|B*A<rsub|1>|\<vect\>>\<cdot\><wide|B*A<rsub|2>|\<vect\>>=-1>\<#FF0C\>\<#5219\><math|C>\<#7684\>\<#65B9\>\<#7A0B\>\<#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|x<rsup|2>|18>+<frac|y<rsup|2>|16>=1>>|<cell|B.
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<math|<frac|x<rsup|2>|9>+<frac|y<rsup|2>|8>=1>>|<cell|C.
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<math|<frac|x<rsup|2>|3>+<frac|y<rsup|2>|2>=1>>|<cell|D.
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<math|<frac|x<rsup|2>|2>+y<rsup|2>=1>>>>>>
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<item>\<#5DF2\>\<#77E5\><math|9<rsup|m>=10>\<#FF0C\><math|a=10<rsup|m>-11>\<#FF0C\><math|b=8<rsup|m>-9>\<#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|a\<gtr\>0\<gtr\>b>>|<cell|B. <math|a\<gtr\>b\<gtr\>0>>|<cell|C.
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<math|b\<gtr\>a\<gtr\>0>>|<cell|D. <math|b\<gtr\>0\<gtr\>a>>>>>>
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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>\<#5DF1\>\<#77E5\>\<#5411\>\<#91CF\><math|<wide|a|\<vect\>>=<around|(|m,3|)>>\<#FF0C\><math|<wide|b|\<vect\>>=<around|(|1,m+1|)>>.\<#82E5\><math|<wide|a|\<vect\>>\<bot\><wide|b|\<vect\>>>\<#FF0C\>\<#5219\><math|m=><underline|<space|2cm>>\<#FF0E\>
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<item>\<#8BBE\>\<#70B9\><math|M>\<#5728\>\<#76F4\>\<#7EBF\><math|2*x+y-1=0>\<#4E0A\>\<#FF0C\>\<#70B9\><math|<around|(|3,0|)>>\<#548C\><math|<around|(|0,1|)>>\<#5747\>\<#5728\><math|\<varodot\>*M>\<#4E0A\>\<#FF0C\>\<#5219\><math|\<varodot\>*M>\<#7684\>\<#65B9\>\<#7A0B\>\<#4E3A\><underline|<space|2cm>>\<#FF0E\>
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<item>\<#8BB0\>\<#53CC\>\<#66F2\>\<#7EBF\><math|C:<frac|x<rsup|2>|a<rsup|2>>-<frac|y<rsup|2>|b<rsup|2>>=1*<around|(|a\<gtr\>0,b\<gtr\>0|)>>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\><math|e>\<#FF0C\>\<#5199\>\<#51FA\>\<#6EE1\>\<#8DB3\>\<#6761\>\<#4EF6\>``\<#76F4\>\<#7EBF\><math|y=2*x>\<#4E0E\><math|C>\<#65E0\>\<#516C\>\<#5171\>\<#70B9\>''\<#7684\><math|e>\<#7684\>\<#4E00\>\<#4E2A\>\<#503C\><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>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#57CE\>\<#4E4B\>\<#95F4\>\<#7684\>\<#957F\>\<#9014\>\<#5BA2\>\<#8F66\>\<#5747\>\<#7531\><math|A>\<#548C\><math|B>\<#4E24\>\<#5BB6\>\<#516C\>\<#53F8\>\<#8FD0\>\<#8425\>\<#FF0C\>\<#4E3A\>\<#4E86\>\<#4E86\>\<#89E3\>\<#8FD9\>\<#4E24\>\<#5BB6\>\<#516C\>\<#53F8\>\<#957F\>\<#9014\>\<#5BA2\>\<#8F66\>\<#7684\>\<#8FD0\>\<#884C\>\<#60C5\>\<#51B5\>\<#FF0C\>\<#968F\>\<#673A\>\<#8C03\>\<#67E5\>\<#4E86\>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#57CE\>\<#4E4B\>\<#95F4\>\<#7684\><math|500>\<#4E2A\>\<#73ED\>\<#6B21\>\<#FF0C\>\<#5F97\>\<#5230\>\<#4E0B\>\<#9762\>\<#5217\>\<#8054\>\<#8868\>\<#FF1A\>
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<block*|<tformat|<table|<row|<cell|>|<cell|\<#51C6\>\<#70B9\>\<#73ED\>\<#6B21\>\<#6570\>>|<cell|\<#672A\>\<#51C6\>\<#70B9\>\<#73ED\>\<#6B21\>\<#6570\>>>|<row|<cell|A>|<cell|240>|<cell|20>>|<row|<cell|B>|<cell|210>|<cell|30>>>>>
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(1)\<#6839\>\<#636E\>\<#4E0A\>\<#8868\>\<#FF0C\>\<#5206\>\<#522B\>\<#4F30\>\<#8BA1\>\<#8FD9\>\<#4E24\>\<#5BB6\>\<#516C\>\<#53F8\>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#57CE\>\<#4E4B\>\<#95F4\>\<#7684\>\<#957F\>\<#9014\>\<#5BA2\>\<#8F66\>\<#51C6\>\<#70B9\>\<#7684\>\<#6982\>\<#7387\>;
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(2)\<#80FD\>\<#5426\>\<#6709\><math|90%>\<#7684\>\<#628A\>\<#63E1\>\<#8BA4\>\<#4E3A\>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#57CE\>\<#4E4B\>\<#95F4\>\<#7684\>\<#957F\>\<#9014\>\<#5BA2\>\<#8F66\>\<#662F\>\<#5426\>\<#51C6\>\<#70B9\>\<#4E0E\>\<#5BA2\>\<#8F66\>\<#6240\>\<#5C5E\>\<#516C\>\<#53F8\>\<#6709\>\<#5173\>?
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\<#9644\>\<#FF1A\><math|K<rsup|2>=<frac|n*<around|(|a*d-b*c|)><rsup|2>|<around|(|a+b|)>*<around|(|c+d|)>*<around|(|a+c|)>*<around|(|b+d|)>>>\<#FF0C\><block|<tformat|<cwith|2|2|1|1|cell-halign|c>|<table|<row|<cell|<math|P<around*|(|K<rsup|2>\<geqslant\>k|)>>>|<cell|0.100>|<cell|0.050>|<cell|0.010>>|<row|<cell|<math|k>>|<cell|2.706>|<cell|3.841>|<cell|6.635>>>>><vspace|5cm>
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<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>\<#5C0F\>\<#660E\>\<#540C\>\<#5B66\>\<#53C2\>\<#52A0\>\<#7EFC\>\<#5408\>\<#5B9E\>\<#8DF5\>\<#6D3B\>\<#52A8\>\<#FF0C\>\<#8BBE\>\<#8BA1\>\<#4E86\>\<#4E00\>\<#4E2A\>\<#5C01\>\<#95ED\>\<#7684\>\<#5305\>\<#88C5\>\<#76D2\>.
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\<#5305\>\<#88C5\>\<#76D2\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF1A\>
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\<#5E95\>\<#9762\><math|A*B*C*D>\<#662F\>\<#8FB9\>\<#957F\>\<#4E3A\><math|8(>\<#5355\>\<#4F4D\>\<#FF1A\><math|c*m>)
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\<#7684\>\<#6B63\>\<#65B9\>\<#5F62\>\<#FF0C\>
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<math|\<bigtriangleup\>*E*A*B>\<#FF0C\>
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<math|\<bigtriangleup\>*F*B*C>\<#FF0C\>
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<math|\<bigtriangleup\>*G*C*D>\<#FF0C\><math|\<bigtriangleup\>*H*D*A>\<#5747\>\<#4E3A\>\<#6B63\>\<#4E09\>\<#89D2\>\<#5F62\>\<#FF0C\>\<#4E14\>\<#5B83\>\<#4EEC\>\<#6240\>\<#5728\>\<#7684\>\<#5E73\>\<#9762\>\<#90FD\>\<#4E0E\>\<#5E73\>\<#9762\><math|A*B*C*D>\<#5782\>\<#76F4\>\<#FF0E\>
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(1)\<#8BC1\>\<#660E\>\<#FF1A\><math|E*F//>\<#5E73\>\<#9762\><math|A*B*C*D>;
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(2)\<#6C42\>\<#8BE5\>\<#5305\>\<#88C5\>\<#76D2\>\<#7684\>\<#5BB9\>\<#79EF\>(<math|>\<#4E0D\>\<#8BA1\>\<#5305\>\<#88C5\>\<#76D2\>\<#6750\>\<#6599\>\<#7684\>\<#539A\>\<#5EA6\><math|>)\<#FF0E\>
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<item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=x<rsup|3>-x>\<#FF0C\><math|g<around|(|x|)>=x<rsup|2>+a>\<#FF0C\>\<#66F2\>\<#7EBF\><math|y=f<around|(|x|)>>\<#5728\>\<#70B9\><math|<around|(|x<rsub|1>,f<around|(|x<rsub|1>|)>|)>>\<#5904\>\<#7684\>\<#5207\>\<#7EBF\>\<#4E5F\>\<#662F\>\<#66F2\>\<#7EBF\><math|y=g<around|(|x|)>>\<#7684\>\<#5207\>\<#7EBF\>\<#FF0E\>
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(1)\<#82E5\><math|x<rsub|1>=-1>\<#FF0C\>\<#6C42\><math|a>;
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(2)\<#6C42\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#FF0E\><vspace|5cm>
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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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</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\<leq\>3>\<#FF1B\>
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(2)\<#82E5\><math|b=2*c>\<#FF0C\>\<#5219\><math|<frac|1|a>+<frac|1|c>\<geq\>3>\<#FF0E\><vspace|5cm>
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</enumerate>
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</body>
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<initial|<\collection>
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</collection>> |