planet/沈浪熊猫儿/2021年浙江高考数学第七题函数曲线绘制.tm

<TeXmacs|2.1.2>

<style|<tuple|generic|chinese|doc>>

<\body>
  <doc-data|<doc-title|2021\<#5E74\>\<#6D59\>\<#6C5F\>\<#7701\>\<#9AD8\>\<#8003\>\<#6570\>\<#5B66\>\<#7B2C\>\<#4E03\>\<#9898\>\<#51FD\>\<#6570\>\<#66F2\>\<#7EBF\>\<#7ED8\>\<#5236\>>>

  2021\<#5E74\>\<#6D59\>\<#6C5F\>\<#7701\>\<#9AD8\>\<#8003\>\<#6570\>\<#5B66\>\<#9009\>\<#62E9\>\<#9898\>\<#7B2C\>\<#4E03\>\<#9898\>\<#5982\>\<#4E0B\>\<#6240\>\<#793A\>\<#FF1A\>

  <\framed>
    7. \<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=x<rsup|2>+<frac|1|4>,g<around*|(|x|)>=sin
    x>\<#FF0C\>\<#5219\>\<#56FE\>\<#50CF\>\<#4E3A\>\<#5982\>\<#56FE\>\<#7684\>\<#51FD\>\<#6570\>\<#53EF\>\<#80FD\>\<#662F\>

    <image|<tuple|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

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|y=f<around*|(|x|)>+g<around*|(|x|)>-<frac|1|4>>
      </cell>|<\cell>
        B. <math|y=f<around*|(|x|)>-g<around*|(|x|)>-<frac|1|4>>
      </cell>>|<row|<\cell>
        C. <math|y=f<around*|(|x|)> g<around*|(|x|)>>
      </cell>|<\cell>
        D. <math|y=<frac|g<around*|(|x|)>|f<around*|(|x|)>>>
      </cell>>>>
    </wide-tabular>
  </framed>

  \<#672C\>\<#6587\>\<#5C06\>\<#4ECE\>\<#5982\>\<#4F55\>\<#7ED8\>\<#5236\><math|sin<around*|(|x|)>>\<#5F00\>\<#59CB\>\<#8BB2\>\<#89E3\>\<#5982\>\<#4F55\>\<#7ED8\>\<#5236\>\<#9898\>\<#76EE\>\<#4E2D\>\<#7684\>\<#9009\>\<#9879\>D\<#3002\>

  <section*|\<#63D2\>\<#5165\><name|Gnuplot>\<#4F1A\>\<#8BDD\>>

  \<#672C\>\<#6587\>\<#4F7F\>\<#7528\><name|Gnuplot>\<#6765\>\<#7ED8\>\<#5236\>\<#51FD\>\<#6570\>\<#66F2\>\<#7EBF\>\<#FF0C\>\<#8BF7\>\<#63D0\>\<#524D\>\<#5B89\>\<#88C5\>\<#597D\><name|Gnuplot>\<#8FD9\>\<#4E2A\>\<#8F6F\>\<#4EF6\>\<#FF0C\>\<#5E76\>\<#4FDD\>\<#8BC1\>\<#5728\>\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>\<#4E2D\>\<#53EF\>\<#4EE5\>\<#4F7F\>\<#7528\><name|Gnuplot>\<#4F1A\>\<#8BDD\>\<#3002\>\<#FF08\>\<#63D0\>\<#793A\>\<#FF1A\>Windows\<#5E73\>\<#53F0\>\<#9664\>\<#4E86\>\<#5B89\>\<#88C5\><name|Gnuplot>\<#4E4B\>\<#5916\>\<#FF0C\>\<#8FD8\>\<#9700\>\<#8981\>\<#989D\>\<#5916\>\<#4ECE\>Windows\<#5E94\>\<#7528\>\<#5546\>\<#5E97\>\<#5B89\>\<#88C5\>Python\<#FF0C\>\<#5EFA\>\<#8BAE\>\<#5B89\>\<#88C5\>Python3.8.x\<#FF09\>

  \<#5728\>\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>\<#4E2D\>\<#FF0C\>\<#4F7F\>\<#7528\><menu|Insert|Fold|Executable|Gnuplot>\<#5C31\>\<#53EF\>\<#4EE5\>\<#63D2\>\<#5165\>\<#4E00\>\<#4E2A\><name|Gnuplot>\<#4F1A\>\<#8BDD\>\<#3002\>

  <\session|gnuplot|default>
    <\output>
      gnuplot 5.4 patchlevel 2
    </output>

    <\input>
      gnuplot]\ 
    <|input>
      \;
    </input>
  </session>

  <section*|\<#7ED8\>\<#5236\><math|sin<around*|(|x|)>>>

  <\session|gnuplot|default>
    <\unfolded-io>
      gnuplot]\ 
    <|unfolded-io>
      % -width 0.618par

      plot sin(x)
    <|unfolded-io>
      <image|<tuple|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
    </unfolded-io>

    <\input>
      gnuplot]\ 
    <|input>
      \;
    </input>
  </session>

  \<#4E0D\>\<#505A\>\<#4EFB\>\<#4F55\>\<#914D\>\<#7F6E\>\<#FF0C\>\<#76F4\>\<#63A5\>\<#7ED8\>\<#5236\><math|sin<around*|(|x|)>>\<#FF0C\>\<#9ED8\>\<#8BA4\>\<#7684\>\<#56FE\>\<#50CF\>\<#4E0D\>\<#591F\>\<#53CB\>\<#597D\>\<#3002\>

  <section*|\<#7F8E\>\<#5316\><math|sin<around*|(|x|)>>>

  \<#6211\>\<#4EEC\>\<#6765\>\<#9010\>\<#6B65\>\<#8C03\>\<#6574\>\<#4E00\>\<#4E0B\>\<#3002\>\<#9996\>\<#5148\>\<#5C06\>\<#4E0A\>\<#56FE\>\<#7684\>\<#8FB9\>\<#6846\>\<#6362\>\<#6210\>\<#6211\>\<#4EEC\>\<#719F\>\<#6089\>\<#7684\>\<#5750\>\<#6807\>\<#8F74\>\<#FF1A\>

  <\session|gnuplot|default>
    <\unfolded-io>
      gnuplot]\ 
    <|unfolded-io>
      % -width 0.618par

      <\with|color|red>
        unset border

        set zeroaxis linetype -1 linewidth 2

        set xtics axis

        set ytics axis
      </with>

      plot sin(x)
    <|unfolded-io>
      <image|<tuple|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
    </unfolded-io>

    <\input>
      gnuplot]\ 
    <|input>
      \;
    </input>
  </session>

  <verbatim|unset border><\footnote>
    http://gnuplot.info/docs_5.5/loc9713.html
  </footnote>\<#7684\>\<#4F5C\>\<#7528\>\<#662F\>\<#628A\>\<#5916\>\<#9762\>\<#7684\>\<#8FB9\>\<#6846\>\<#53BB\>\<#6389\>\<#FF0C\><verbatim|zeroaxis><\footnote>
    http://gnuplot.info/docs_5.5/loc16801.html
  </footnote>\<#53EF\>\<#7528\>\<#4E8E\>\<#8BBE\>\<#7F6E\>\<#4E24\>\<#4E2A\>\<#5750\>\<#6807\>\<#8F74\>\<#90FD\>\<#7ECF\>\<#8FC7\>\<#539F\>\<#70B9\>\<#3002\>

  \<#901A\>\<#8FC7\>\<#4E0A\>\<#9762\>\<#56DB\>\<#884C\>\<#914D\>\<#7F6E\>\<#FF0C\>\<#6211\>\<#4EEC\>\<#5F97\>\<#5230\>\<#4E00\>\<#4E2A\>\<#5728\>\<#4E2D\>\<#5B66\>\<#6559\>\<#80B2\>\<#4E2D\>\<#7ECF\>\<#5E38\>\<#4F7F\>\<#7528\>\<#5230\>\<#7684\>\<#51FD\>\<#6570\>\<#66F2\>\<#7EBF\>\<#56FE\>\<#50CF\>\<#3002\>

  \<#53EF\>\<#4EE5\>\<#518D\>\<#505A\>\<#4E00\>\<#4E9B\>\<#8C03\>\<#6574\>\<#FF0C\>\<#8BA9\>\<#8FD9\>\<#4E2A\>\<#56FE\>\<#50CF\>\<#66F4\>\<#52A0\>\<#7F8E\>\<#89C2\>\<#4E00\>\<#4E9B\>\<#FF1A\>

  <\session|gnuplot|default>
    <\folded-io>
      gnuplot]\ 
    <|folded-io>
      % -width 0.618par

      unset border

      set zeroaxis linetype -1 linewidth 2

      set xtics axis

      set ytics axis

      \;

      <\with|color|red>
        set xtics pi

        set ytics 1

        set arrow from 0,0 to 10,0

        set arrow from 0,0 to 0,1.5
      </with>

      \;

      plot <with|color|red|[-10:10][-1.5:1.5]> sin(x)
      <with|color|red|linecolor rgb "black">
    <|folded-io>
      <image|<tuple|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
    </folded-io>

    <\input>
      gnuplot]\ 
    <|input>
      \;
    </input>
  </session>

  \<#63A5\>\<#4E0B\>\<#6765\>\<#65B0\>\<#589E\>\<#7684\>\<#56DB\>\<#884C\>\<#FF0C\>\<#6211\>\<#4EEC\>\<#914D\>\<#7F6E\>\<#4E86\><math|x>\<#8F74\>\<#7684\>\<#523B\>\<#5EA6\>\<#5355\>\<#4F4D\>\<#662F\><math|\<pi\>>\<#FF0C\><math|y>\<#8F74\>\<#7684\>\<#523B\>\<#5EA6\>\<#5355\>\<#4F4D\>\<#662F\>1\<#FF0C\>\<#7136\>\<#540E\>\<#7ED8\>\<#5236\>\<#4E86\>\<#4E24\>\<#4E2A\>\<#7BAD\>\<#5934\>\<#3002\>\<#5728\>\<#6700\>\<#540E\>\<#7684\>plot\<#547D\>\<#4EE4\>\<#4E2D\>\<#FF0C\>\<#8BBE\>\<#7F6E\>\<#4E86\>\<#5B9A\>\<#4E49\>\<#57DF\>\<#4E3A\><math|<around*|[|-10:10|]>>\<#FF0C\>\<#503C\>\<#57DF\>\<#4E3A\><math|<around*|[|-1.5:1.5|]>>\<#FF0C\>\<#6700\>\<#540E\>\<#628A\>\<#66F2\>\<#7EBF\>\<#989C\>\<#8272\>\<#8C03\>\<#6574\>\<#6210\>\<#4E86\>\<#9ED1\>\<#8272\>\<#3002\>

  \<#901A\>\<#8FC7\>\<#4EE5\>\<#4E0A\>\<#914D\>\<#7F6E\>\<#FF0C\>\<#6211\>\<#4EEC\>\<#5F97\>\<#5230\>\<#4E00\>\<#4E2A\>\<#5728\>\<#4E2D\>\<#5B66\>\<#6559\>\<#80B2\>\<#4E2D\>\<#7ECF\>\<#5E38\>\<#4F7F\>\<#7528\>\<#7684\>\<#51FD\>\<#6570\>\<#66F2\>\<#7EBF\>\<#56FE\>\<#50CF\>\<#3002\>

  <section*|\<#7ED8\>\<#5236\>\<#9009\>\<#9879\>D>

  \<#6211\>\<#4EEC\>\<#9009\>\<#4E2D\>\<#4E0A\>\<#4E00\>\<#4E2A\>\<#5C0F\>\<#8282\>\<#4E2D\>\<#7684\>\<#4EE3\>\<#7801\>\<#7247\>\<#6BB5\>\<#FF0C\>\<#4F7F\>\<#7528\>\<#53F3\>\<#952E\>\<#83DC\>\<#5355\>\<#590D\>\<#5236\>\<#FF0C\>\<#7136\>\<#540E\>\<#4F7F\>\<#7528\>\<#53F3\>\<#952E\>\<#83DC\>\<#5355\>\<#7C98\>\<#8D34\>\<#5230\>\<#4E0B\>\<#9762\>\<#7684\>\<#4F1A\>\<#8BDD\>\<#4E2D\>\<#3002\>\<#4FEE\>\<#6539\>plot\<#547D\>\<#4EE4\>\<#91CC\>\<#9762\>\<#7684\>\<#51FD\>\<#6570\>\<#FF0C\>\<#5C31\>\<#53EF\>\<#4EE5\>\<#7ED8\>\<#5236\>\<#9009\>\<#9879\>D\<#7684\>\<#66F2\>\<#7EBF\>\<#FF08\>\<#5728\>\<#8FD9\>\<#4E2A\>\<#4F8B\>\<#5B50\>\<#4E2D\>\<#FF0C\>\<#6211\>\<#4EEC\>\<#7A0D\>\<#7A0D\>\<#8C03\>\<#6574\>\<#4E00\>\<#4E0B\>\<#523B\>\<#5EA6\>\<#3001\>\<#5B9A\>\<#4E49\>\<#57DF\>\<#3001\>\<#503C\>\<#57DF\>\<#4EE5\>\<#66F4\>\<#52A0\>\<#6E05\>\<#695A\>\<#5730\>\<#5C55\>\<#793A\>\<#66F2\>\<#7EBF\>\<#7684\>\<#6027\>\<#8D28\>\<#FF09\>\<#FF1A\>

  <\session|gnuplot|default>
    <\unfolded-io>
      gnuplot]\ 
    <|unfolded-io>
      % -width 0.8par

      unset border

      set zeroaxis linetype -1 linewidth 2

      set xtics axis

      set ytics axis

      \;

      set xtics pi

      set ytics 0.5

      set arrow from 0,0 to 15,0

      set arrow from 0,0 to 0,1.2

      \;

      plot [-15:15][-1.2:1.2] <with|color|red|(sin(x)/(x*x+1/4)) \\>

      linecolor rgb "red" <with|color|red|linewidth 1.5>
    <|unfolded-io>
      <image|<tuple|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
    </unfolded-io>

    <\input>
      gnuplot]\ 
    <|input>
      \;
    </input>
  </session>

  \<#4E5F\>\<#53EF\>\<#4EE5\>\<#5728\>\<#540C\>\<#4E00\>\<#4E2A\>\<#6BB5\>\<#843D\>\<#91CC\>\<#9762\>\<#7ED8\>\<#5236\>\<#4E24\>\<#4E2A\>\<#66F2\>\<#7EBF\>\<#FF0C\>\<#5982\>\<#4E0B\>\<#6240\>\<#793A\>\<#FF1A\>

  <\session|gnuplot|default>
    <\unfolded-io>
      gnuplot]\ 
    <|unfolded-io>
      % -width 0.8par

      unset border

      set zeroaxis linetype -1 linewidth 2

      set xtics axis

      set ytics axis

      \;

      set xtics pi

      set ytics 0.5

      set arrow from 0,0 to 15,0

      set arrow from 0,0 to 0,1.2

      \;

      plot [-15:15][-1.2:1.2] \\

      (sin(x)/(x*x+1/4)) linecolor rgb "red" linewidth 1.5<with|color|red|,>
      \\

      <with|color|red|sin(x) linecolor rgb "blue">

      \;
    <|unfolded-io>
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    </unfolded-io>

    <\input>
      gnuplot]\ 
    <|input>
      \;
    </input>
  </session>

  \;

  \;

  \;
</body>

<initial|<\collection>
</collection>>

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    <associate|auto-4|<tuple|?|?>>
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      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|\<#7ED8\>\<#5236\><with|mode|<quote|math>|sin<around*|(|x|)>>>
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      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|\<#7F8E\>\<#5316\><with|mode|<quote|math>|sin<around*|(|x|)>>>
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