planet/高考数学/2021年上海市高考数学试题.tm

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  <doc-data|<doc-title|2021\<#5E74\>\<#4E0A\>\<#6D77\>\<#5E02\>\<#9AD8\>\<#8003\>\<#6570\>\<#5B66\>\<#8BD5\>\<#5377\>>>

  <subsubsection*|\<#4E00\>\<#3001\>\<#5355\>\<#9009\>\<#9898\>>

  <\enumerate>
    <item>\<#5DF2\>\<#77E5\><math|z<rsub|1>=1+i>\<#FF0C\><math|z<rsub|2>=2+3*i>\<#FF0C\>\<#6C42\><math|z<rsub|1>+z<rsub|2>=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\><math|A=<around*|{|x<around*|\||2*x\<leqslant\>1|\<nobracket\>>|}>,B=<around*|{|-1,0,1|}>>\<#FF0C\>\<#5219\><math|A\<cap\>B=><underline|<space|3em>>.

    <item>\<#82E5\><math|x<rsup|2>+y<rsup|2>-2*x-4*y=0>\<#FF0C\>\<#6C42\>\<#5706\>\<#5FC3\>\<#5750\>\<#6807\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5982\>\<#56FE\>\<#6B63\>\<#65B9\>\<#5F62\><math|ABCD>\<#7684\>\<#8FB9\>\<#957F\>\<#4E3A\>3\<#FF0C\>\<#6C42\><math|<wide|AB|\<vect\>>\<cdot\><wide|AC|\<vect\>>=><underline|<space|3em>>.

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    <item>\<#5DF2\>\<#77E5\><math|f<around*|(|x|)>=<frac|3|x>+2>\<#FF0C\>\<#5219\><math|f<rsup|-1><around*|(|1|)>=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#4E8C\>\<#9879\>\<#5F0F\><math|<around*|(|x+a|)><rsup|5>>\<#5C55\>\<#5F00\>\<#5F0F\>\<#4E2D\>\<#FF0C\><math|x<rsup|2>>\<#7684\>\<#7CFB\>\<#6570\>\<#4E3A\>80\<#FF0C\>\<#5219\><math|a=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\><choice|<tformat|<table|<row|<cell|x\<leqslant\>3>>|<row|<cell|2*x-y-2\<geqslant\>0>>|<row|<cell|3*x+y-8\<geqslant\>0>>>>>\<#FF0C\><math|z=x-y>\<#FF0C\>\<#5219\><math|z>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\><math|<around*|{|a<rsub|n>|}>>\<#4E3A\>\<#65E0\>\<#7A77\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>\<#FF0C\><math|a<rsub|1>=3>\<#FF0C\><math|a<rsub|n>>\<#7684\>\<#5404\>\<#9879\>\<#548C\>\<#4E3A\>9\<#FF0C\><math|b<rsub|n>=a<rsub|2n>>\<#FF0C\>\<#5219\>\<#6570\>\<#5217\><math|<around*|{|b<rsub|n>|}>>\<#7684\>\<#5404\>\<#9879\>\<#548C\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#5706\>\<#67F1\>\<#7684\>\<#5E95\>\<#9762\>\<#5706\>\<#534A\>\<#5F84\>\<#4E3A\>1\<#FF0C\>\<#9AD8\>\<#4E3A\>2\<#FF0C\><math|AB>\<#4E3A\>\<#4E0A\>\<#5E95\>\<#9762\>\<#5706\>\<#7684\>\<#4E00\>\<#6761\>\<#76F4\>\<#5F84\>\<#FF0C\><math|C>\<#662F\>\<#4E0B\>\<#5E95\>\<#9762\>\<#5706\>\<#5468\>\<#4E0A\>\<#7684\>\<#4E00\>\<#4E2A\>\<#52A8\>\<#70B9\>\<#FF0C\>\<#5219\>ABC\<#7684\>\<#9762\>\<#79EF\>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#82B1\>\<#535A\>\<#4F1A\>\<#6709\>\<#56DB\>\<#4E2A\>\<#4E0D\>\<#540C\>\<#7684\>\<#573A\>\<#9986\><math|A,B,C,D>\<#FF0C\>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#4EBA\>\<#6BCF\>\<#4EBA\>\<#9009\>2\<#4E2A\>\<#53BB\>\<#53C2\>\<#89C2\>\<#FF0C\>\<#5219\>\<#4ED6\>\<#4EEC\>\<#7684\>\<#9009\>\<#62E9\>\<#4E2D\>\<#FF0C\>\<#6070\>\<#6709\>\<#4E00\>\<#4E2A\>\<#9986\>\<#76F8\>\<#540C\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#629B\>\<#7269\>\<#7EBF\><math|y<rsup|2>=2*p*x<around*|(|p\<gtr\>0|)>>\<#FF0C\>\<#82E5\>\<#7B2C\>\<#4E00\>\<#8C61\>\<#9650\>\<#7684\><math|A,B>\<#5728\>\<#629B\>\<#7269\>\<#7EBF\>\<#4E0A\>\<#FF0C\>\<#7126\>\<#70B9\>\<#4E3A\><math|F>\<#FF0C\><math|<around*|\||AF|\|>=2>\<#FF0C\><math|<around*|\||BF|\|>=4>\<#FF0C\><math|<around*|\||AB|\|>=3>\<#FF0C\>\<#6C42\>\<#76F4\>\<#7EBF\><math|AB>\<#7684\>\<#659C\>\<#7387\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\><math|a<rsub|i>\<in\>\<b-up-N\><rsup|\<ast\>><around*|(|i=1,2,\<ldots\>,9|)>>\<#5BF9\>\<#4EFB\>\<#610F\>\<#7684\><math|k\<in\>\<b-up-N\><rsup|\<ast\>><around*|(|2\<leqslant\>k\<leqslant\>8|)>>\<#FF0C\><math|a<rsub|k>=a<rsub|k-1>+1>\<#6216\><math|a<rsub|k>=a<rsub|k+1>-1>\<#4E2D\>\<#6709\>\<#4E14\>\<#4EC5\>\<#6709\>\<#4E00\>\<#4E2A\>\<#6210\>\<#7ACB\>\<#FF0C\><math|a<rsub|1>=6>\<#FF0C\><math|a<rsub|9>=9>\<#FF0C\>\<#5219\><math|a<rsub|1>+\<cdots\>+a<rsub|9>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\><underline|<space|3em>>.
  </enumerate>

  <subsubsection*|\<#4E8C\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>>

  <\enumerate>
    <assign|item-nr|12><item>\<#4E0B\>\<#5217\>\<#51FD\>\<#6570\>\<#4E2D\>\<#FF0C\>\<#65E2\>\<#662F\>\<#5947\>\<#51FD\>\<#6570\>\<#53C8\>\<#662F\>\<#51CF\>\<#51FD\>\<#6570\>\<#7684\>\<#662F\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|y=-3*x>
      </cell>|<\cell>
        B. <math|y=x<rsup|3>>
      </cell>|<\cell>
        C. <math|y=log<rsub|3> x>
      </cell>|<\cell>
        D. <math|y=3<rsup|x>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\>\<#53C2\>\<#6570\>\<#65B9\>\<#7A0B\><choice|<tformat|<table|<row|<cell|x=3*t-4*t<rsup|3>>>|<row|<cell|y=2*t*<sqrt|1-t<rsup|2>>>>>>><math|,t\<in\><around*|[|-1,1|]>>\<#FF0C\>\<#4E0B\>\<#5217\>\<#9009\>\<#9879\>\<#7684\>\<#56FE\>\<#4E2D\>\<#FF0C\>\<#7B26\>\<#5408\>\<#8BE5\>\<#65B9\>\<#7A0B\>\<#7684\>\<#662F\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<cwith|1|1|1|1|cell-hyphen|n>|<cwith|1|1|2|2|cell-hyphen|t>|<cwith|1|1|1|1|cell-valign|c>|<cwith|1|1|1|1|cell-halign|c>|<table|<row|<\cell>
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        C.<image|<tuple|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
      </cell>|<\cell>
        D.<image|<tuple|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
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|f<around*|(|x|)>=3*sin
    x+2>\<#FF0C\>\<#5BF9\>\<#4EFB\>\<#610F\>\<#7684\><math|x<rsub|1>\<in\><around*|[|0,<frac|\<pi\>|2>|]>>\<#FF0C\>\<#90FD\>\<#5B58\>\<#5728\><math|x<rsub|2>\<in\><around*|[|0,<frac|\<pi\>|2>|]>>\<#FF0C\>\<#4F7F\>\<#5F97\><math|f<around*|(|x|)>=2*f<around*|(|x+\<theta\>|)>+2>\<#6210\>\<#7ACB\>\<#FF0C\>\<#5219\>\<#4E0B\>\<#5217\>\<#9009\>\<#9879\>\<#4E2D\>\<#FF0C\><math|\<theta\>>\<#53EF\>\<#80FD\>\<#7684\>\<#503C\>\<#4E3A\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<frac|3*\<pi\>|5>>
      </cell>|<\cell>
        B. <math|<frac|4*\<pi\>|5>>
      </cell>|<\cell>
        C. <math|<frac|6*\<pi\>|5>>
      </cell>|<\cell>
        D. <math|<frac|7*\<pi\>|5>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|x<rsub|1>,y<rsub|1>,x<rsub|2>,y<rsub|2>,x<rsub|3>,y<rsub|3>>\<#540C\>\<#65F6\>\<#6EE1\>\<#8DB3\>:\<#2460\><math|x<rsub|1>\<less\>y<rsub|2>,x<rsub|2>\<less\>y<rsub|2>,x<rsub|3>\<less\>y<rsub|3>>;
    \<#2461\><math|x<rsub|1>+y<rsub|1>=x<rsub|2>+y<rsub|2>=x<rsub|3>+y<rsub|3>;>
    \<#2462\><math|x<rsub|1>y<rsub|1>+x<rsub|3>y<rsub|3>=2*x<rsub|2>y<rsub|2>>\<#FF0C\>\<#4EE5\>\<#4E0B\>\<#54EA\>\<#4E2A\>\<#9009\>\<#9879\>\<#6052\>\<#6210\>\<#7ACB\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|2*x<rsub|2>\<less\>x<rsub|1>+x<rsub|3>>
      </cell>|<\cell>
        B. <math|2*x<rsub|2>\<gtr\>x<rsub|1>+x<rsub|3>>
      </cell>|<\cell>
        C. <math|x<rsub|2><rsup|2>\<less\>x<rsub|1>x<rsub|3>>
      </cell>|<\cell>
        D. <math|x<rsub|2><rsup|2>\<gtr\>x<rsub|1>x<rsub|3>>
      </cell>>>>
    </wide-tabular>
  </enumerate>

  \;

  <subsubsection*|\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>>

  <\enumerate>
    <assign|item-nr|16><item>\<#5982\>\<#56FE\>\<#FF0C\>\<#5728\>\<#957F\>\<#65B9\>\<#4F53\><math|ABCD-A<rsub|1>B<rsub|1>C<rsub|1>D<rsub|1>>\<#4E2D\>\<#FF0C\>\<#5DF2\>\<#77E5\><math|AB=BC=2>\<#FF0C\><math|AA<rsub|1>=3>.

    \<#FF08\>1\<#FF09\>\<#82E5\><math|P>\<#662F\>\<#68F1\><math|A<rsub|1>D<rsub|1>>\<#4E0A\>\<#7684\>\<#52A8\>\<#70B9\>\<#FF0C\>\<#6C42\>\<#4E09\>\<#68F1\>\<#9525\><math|C-PAD>\<#7684\>\<#4F53\>\<#79EF\>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#6C42\>\<#76F4\>\<#7EBF\><math|AB<rsub|1>>\<#4E0E\>\<#5E73\>\<#9762\><math|ACC<rsub|1>A<rsub|1>>\<#7684\>\<#5939\>\<#89D2\>\<#5927\>\<#5C0F\>.

    <image|<tuple|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

    <item>\<#5DF2\>\<#77E5\>\<#5728\><math|\<vartriangle\>ABC>\<#4E2D\>\<#FF0C\><math|A,B,C>\<#6240\>\<#5BF9\>\<#8FB9\>\<#5206\>\<#522B\>\<#4E3A\><math|a,b,c>\<#FF0C\>\<#4E14\><math|a=3>\<#FF0C\><math|b=2*c>.

    \<#FF08\>1\<#FF09\>\<#82E5\><math|A=<frac|2*\<pi\>|3>>\<#FF0C\>\<#6C42\><math|S<rsub|\<vartriangle\>ABC>>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#82E5\><math|2*sin B-sin
    C=1>\<#FF0C\>\<#6C42\><math|C<rsub|\<vartriangle\>ABC>>.

    <item>\<#5DF2\>\<#77E5\>\<#4E00\>\<#4F01\>\<#4E1A\>\<#4ECA\>\<#5E74\>\<#7B2C\>\<#4E00\>\<#5B63\>\<#5EA6\>\<#7684\>\<#8425\>\<#4E1A\>\<#989D\>\<#4E3A\>1.1\<#4EBF\>\<#5143\>\<#FF0C\>\<#5F80\>\<#540E\>\<#6BCF\>\<#4E2A\>\<#5B63\>\<#5EA6\>\<#589E\>\<#52A0\>0.05\<#4EBF\>\<#5143\>\<#FF0C\>\<#7B2C\>\<#4E00\>\<#5B63\>\<#5EA6\>\<#7684\>\<#5229\>\<#6DA6\>\<#4E3A\>0.16\<#4EBF\>\<#5143\>\<#FF0C\>\<#5F80\>\<#540E\>\<#6BCF\>\<#4E00\>\<#5B63\>\<#5EA6\>\<#6BD4\>\<#524D\>\<#4E00\>\<#5B63\>\<#5EA6\>\<#589E\>\<#957F\>4%.

    \<#FF08\>1\<#FF09\>\<#6C42\>\<#4ECA\>\<#5E74\>\<#8D77\>\<#7684\>\<#524D\>20\<#4E2A\>\<#5B63\>\<#5EA6\>\<#7684\>\<#603B\>\<#8425\>\<#4E1A\>\<#989D\>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#8BF7\>\<#95EE\>\<#54EA\>\<#4E00\>\<#5B63\>\<#5EA6\>\<#7684\>\<#5229\>\<#6DA6\>\<#9996\>\<#6B21\>\<#8D85\>\<#8FC7\>\<#8BE5\>\<#5B63\>\<#5EA6\>\<#8425\>\<#4E1A\>\<#989D\>\<#7684\>18%?

    <item>\<#5DF2\>\<#77E5\><math|\<Gamma\>>\<#FF1A\><math|<frac|x<rsup|2>|2>+y<rsup|2>=1>\<#FF0C\><math|F<rsub|1>>\<#FF0C\><math|F<rsub|2>>\<#662F\>\<#5176\>\<#5DE6\>\<#3001\>\<#53F3\>\<#7126\>\<#70B9\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|l>\<#8FC7\>\<#70B9\><math|P<around*|(|m,0|)><around*|(|m\<leqslant\>-<sqrt|2>|)>>\<#FF0C\>\<#4EA4\>\<#692D\>\<#5706\>\<#4E0E\>A,B\<#4E24\>\<#70B9\>\<#FF0C\>\<#4E14\><math|A>\<#FF0C\><math|B>\<#5728\><math|x>\<#8F74\>\<#4E0A\>\<#65B9\>\<#FF0C\>\<#70B9\><math|A>\<#5728\>\<#7EBF\>\<#6BB5\><math|BP>\<#4E0A\>.

    \<#FF08\>1\<#FF09\>\<#82E5\><math|B>\<#662F\>\<#4E0A\>\<#9876\>\<#70B9\>\<#FF0C\><math|<around*|\||<wide|BF<rsub|1>|\<vect\>>|\|>=<around*|\||<wide|PF<rsub|1>|\<vect\>>|\|>>\<#FF0C\>\<#6C42\><math|m>\<#7684\>\<#503C\>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#82E5\><math|<wide|F<rsub|1>A|\<vect\>>\<cdot\><wide|F<rsub|2>A|\<vect\>>=<frac|1|3>>\<#FF0C\>\<#4E14\>\<#539F\>\<#70B9\><math|O>\<#5230\>\<#76F4\>\<#7EBF\><math|l>\<#7684\>\<#8DDD\>\<#79BB\>\<#4E3A\><math|<frac|4<sqrt|15>|15>>\<#FF0C\>\<#6C42\>\<#76F4\>\<#7EBF\><math|l>\<#7684\>\<#65B9\>\<#7A0B\>\<#FF1B\>

    \<#FF08\>3\<#FF09\>\<#8BC1\>\<#660E\>\<#FF1A\>\<#5BF9\>\<#4E8E\>\<#4EFB\>\<#610F\><math|m\<less\>-<sqrt|2>>\<#FF0C\>\<#4F7F\>\<#5F97\><math|<wide|F<rsub|1>A|\<vect\>>//<wide|F<rsub|2>B|\<vect\>>>\<#7684\>\<#76F4\>\<#7EBF\>\<#6709\>\<#4E14\>\<#4EC5\>\<#6709\>\<#4E00\>\<#6761\>.

    <item>\<#5DF2\>\<#77E5\><math|x<rsub|1>,x<rsub|2>\<in\>\<b-up-R\>>\<#FF0C\>\<#82E5\>\<#5BF9\>\<#4EFB\>\<#610F\>\<#7684\><math|x<rsub|2>-x<rsub|1>\<in\>S>\<#FF0C\><math|f<around*|(|x<rsub|2>|)>-f<around*|(|x<rsub|1>|)>\<in\>S>\<#FF0C\>\<#5219\>\<#6709\>\<#5B9A\>\<#4E49\>\<#FF1A\><math|f<around*|(|x|)>>\<#662F\>\<#5728\><math|S>\<#5173\>\<#8054\>\<#7684\>.

    \<#FF08\>1\<#FF09\>\<#5224\>\<#65AD\>\<#548C\>\<#8BC1\>\<#660E\><math|f<around*|(|x|)>=2*x-1>\<#662F\>\<#5426\>\<#5728\><math|<around*|[|0,+\<infty\>|)>>\<#5173\>\<#8054\>\<#FF1F\>\<#662F\>\<#5426\>\<#6709\><math|<around*|[|0,1|]>>\<#5173\>\<#8054\>\<#FF1F\>

    \<#FF08\>2\<#FF09\>\<#82E5\><math|f<around*|(|x|)>>\<#662F\><math|<around*|{|3|}>>\<#5173\>\<#8054\>\<#FF0C\>\<#5F53\>\<#5728\><math|x\<in\><around*|[|0\<#FF0C\>3|]>><math|><math|>\<#65F6\>\<#FF0C\><math|f<around*|(|x|)>=x<rsup|2>-2*x>\<#FF0C\>\<#89E3\>\<#4E0D\>\<#7B49\>\<#5F0F\><math|2\<leqslant\>f<around*|(|x|)>\<leqslant\>3>\<#FF1B\>

    \<#FF08\>3\<#FF09\>\<#8BC1\>\<#660E\>\<#FF1A\>\P<math|f<around*|(|x|)>>\<#662F\><math|<around*|{|1|}>>\<#5173\>\<#8054\>\<#FF0C\>\<#4E14\>\<#662F\><math|<around*|[|0,+\<infty\>|)>>\<#5173\>\<#8054\>\Q\<#7684\>\<#5145\>\<#8981\>\<#6761\>\<#4EF6\>\<#662F\>\P<math|f<around*|(|x|)>>\<#662F\><math|[1,2]>\<#5173\>\<#8054\>\Q
  </enumerate>
</body>

<\initial>
  <\collection>
    <associate|page-medium|paper>
  </collection>
</initial>

<\references>
  <\collection>
    <associate|auto-1|<tuple|?|1>>
    <associate|auto-2|<tuple|12|1>>
    <associate|auto-3|<tuple|16|2>>
  </collection>
</references>

<\auxiliary>
  <\collection>
    <\associate|toc>
      <with|par-left|<quote|2tab>|\<#4E00\>\<#3001\>\<#5355\>\<#9009\>\<#9898\>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-1>>

      <with|par-left|<quote|2tab>|\<#4E8C\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-2>>

      <with|par-left|<quote|2tab>|\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-3>>
    </associate>
  </collection>
</auxiliary>