planet/高考数学/2021年全国高考甲卷数学理科试题.tm

<TeXmacs|2.1.2>

<style|<tuple|generic|chinese>>

<\body>
  <doc-data|<doc-title|2021\<#5E74\>\<#5168\>\<#56FD\>\<#9AD8\>\<#8003\>\<#7532\>\<#5377\>\<#6570\>\<#5B66\>\<#FF08\>\<#7406\>\<#FF09\>\<#8BD5\>\<#9898\>>>

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

  <\enumerate>
    <item>\<#8BBE\>\<#96C6\>\<#5408\><math|M=<around*|{|x\|0\<less\>x\<less\>4|}>,N=<around*|{|x\|<frac|1|3>\<leqslant\>x\<leqslant\>5|}>>\<#FF0C\>\<#5219\><math|M\<cap\>N=><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<around*|{|x\|0\<less\>x\<leqslant\><frac|1|3>|}>>
      </cell>|<\cell>
        B. <math|<around*|{|x\|<frac|1|3>\<leqslant\>x\<less\>4|}>>
      </cell>>|<row|<\cell>
        C. <math|<around*|{|x\|4\<leqslant\>x\<less\>5|}>>
      </cell>|<\cell>
        D. <math|<around*|{|x\|0\<less\>x\<leqslant\>5|}>>
      </cell>>>>
    </wide-tabular>

    <item>\<#4E3A\>\<#4E86\>\<#89E3\>\<#67D0\>\<#5730\>\<#519C\>\<#6751\>\<#7ECF\>\<#6D4E\>\<#60C5\>\<#51B5\>\<#FF0C\>\<#5BF9\>\<#8BE5\>\<#5730\>\<#519C\>\<#6237\>\<#5BB6\>\<#5EAD\>\<#5E74\>\<#6536\>\<#5165\>\<#8FDB\>\<#884C\>\<#62BD\>\<#6837\>\<#8C03\>\<#67E5\>\<#FF0C\>\<#5C06\>\<#519C\>\<#6237\>\<#5BB6\>\<#5EAD\>\<#5E74\>\<#6536\>\<#5165\>\<#7684\>\<#8C03\>\<#67E5\>\<#6570\>\<#636E\>\<#6574\>\<#7406\>\<#5F97\>\<#5230\>\<#5982\>\<#4E0B\>\<#9891\>\<#7387\>\<#5206\>\<#5E03\>\<#76F4\>\<#65B9\>\<#56FE\>\<#FF1A\>

    <image|<tuple|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

    \<#6839\>\<#636E\>\<#6B64\>\<#9891\>\<#7387\>\<#5206\>\<#5E03\>\<#76F4\>\<#65B9\>\<#56FE\>\<#FF0C\>\<#4E0B\>\<#9762\>\<#7ED3\>\<#8BBA\>\<#4E2D\>\<#4E0D\>\<#6B63\>\<#786E\>\<#7684\>\<#662F\><underline|<space|3em>>

    A\<#FF0E\>\<#8BE5\>\<#5730\>\<#519C\>\<#6237\>\<#5BB6\>\<#5EAD\>\<#5E74\>\<#6536\>\<#5165\>\<#4F4E\>\<#4E8E\>4.5\<#4E07\>\<#5143\>\<#7684\>\<#519C\>\<#6237\>\<#6BD4\>\<#7387\>\<#4F30\>\<#8BA1\>\<#4E3A\>6%

    B\<#FF0E\>\<#8BE5\>\<#5730\>\<#519C\>\<#6237\>\<#5BB6\>\<#5EAD\>\<#5E74\>\<#6536\>\<#5165\>\<#4E0D\>\<#4F4E\>\<#4E8E\>10.5\<#4E07\>\<#5143\>\<#7684\>\<#519C\>\<#6237\>\<#6BD4\>\<#7387\>\<#4F30\>\<#8BA1\>\<#4E3A\>10%

    C\<#FF0E\>\<#4F30\>\<#8BA1\>\<#8BE5\>\<#5730\>\<#519C\>\<#6237\>\<#5BB6\>\<#5EAD\>\<#5E74\>\<#6536\>\<#5165\>\<#7684\>\<#5E73\>\<#5747\>\<#503C\>\<#4E0D\>\<#8D85\>\<#8FC7\>6.5\<#4E07\>\<#5143\>

    D\<#FF0E\>\<#4F30\>\<#8BA1\>\<#8BE5\>\<#5730\>\<#6709\>\<#4E00\>\<#534A\>\<#4EE5\>\<#4E0A\>\<#7684\>\<#519C\>\<#6237\>\<#FF0C\>\<#5176\>\<#5BB6\>\<#5EAD\>\<#5E74\>\<#6536\>\<#5165\>\<#4ECB\>\<#4E8E\>4.5\<#4E07\>\<#5143\>\<#81F3\>8.5\<#4E07\>\<#5143\>\<#4E4B\>\<#95F4\>

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

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|-1-<frac|3|2>i>
      </cell>|<\cell>
        B. <math|-1+<frac|3|2>i>
      </cell>|<\cell>
        C. <math|-<frac|3|2>+i>
      </cell>|<\cell>
        D. <math|-<frac|3|2>-i>
      </cell>>>>
    </wide-tabular>

    <item>\<#9752\>\<#5C11\>\<#5E74\>\<#89C6\>\<#529B\>\<#662F\>\<#793E\>\<#4F1A\>\<#666E\>\<#904D\>\<#5173\>\<#6CE8\>\<#7684\>\<#95EE\>\<#9898\>\<#FF0C\>\<#89C6\>\<#529B\>\<#60C5\>\<#51B5\>\<#53EF\>\<#501F\>\<#52A9\>\<#89C6\>\<#529B\>\<#8868\>\<#6D4B\>\<#91CF\>\<#FF0E\>\<#901A\>\<#5E38\>\<#7528\>\<#4E94\>\<#5206\>\<#8BB0\>\<#5F55\>\<#6CD5\>\<#548C\>\<#5C0F\>\<#6570\>\<#8BB0\>\<#5F55\>\<#6CD5\>\<#8BB0\>\<#5F55\>\<#89C6\>\<#529B\>\<#6570\>\<#636E\>\<#FF0C\>\<#4E94\>\<#5206\>\<#8BB0\>\<#5F55\>\<#6CD5\>\<#7684\>\<#6570\>\<#636E\>L\<#548C\>\<#5C0F\>\<#6570\>\<#8BB0\>\<#5F55\>\<#8868\>\<#7684\>\<#6570\>\<#636E\>V\<#7684\>\<#6EE1\>\<#8DB3\><math|L=5+lg
    V>. \<#5DF2\>\<#77E5\>\<#67D0\>\<#540C\>\<#5B66\>\<#89C6\>\<#529B\>\<#7684\>\<#4E94\>\<#5206\>\<#8BB0\>\<#5F55\>\<#6CD5\>\<#7684\>\<#6570\>\<#636E\>\<#4E3A\>4.9\<#FF0C\>\<#5219\>\<#5176\>\<#89C6\>\<#529B\>\<#7684\>\<#5C0F\>\<#6570\>\<#8BB0\>\<#5F55\>\<#6CD5\>\<#7684\>\<#6570\>\<#636E\>\<#4E3A\><underline|<space|3em>>(<math|<sqrt|10|10>\<approx\>1.259>)

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. 1.5
      </cell>|<\cell>
        B. 1.2
      </cell>|<\cell>
        C. 0.8
      </cell>|<\cell>
        D. 0.6
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|F<rsub|1>>\<#FF0C\><math|F<rsub|2>>\<#662F\>\<#53CC\>\<#66F2\>\<#7EBF\><math|C>\<#7684\>\<#4E24\>\<#4E2A\>\<#7126\>\<#70B9\>\<#FF0C\><math|P>\<#4E3A\><math|C>\<#4E0A\>\<#4E00\>\<#70B9\>\<#FF0C\>\<#4E14\><math|\<angle\>F<rsub|1>PF<rsub|2>=60<rsup|\<circ\>>>\<#FF0C\><math|<around*|\||PF<rsub|1>|\|>=3*<around*|\||PF<rsub|2>|\|>>\<#FF0C\>\<#5219\><math|C>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<frac|<sqrt|7>|2>>
      </cell>|<\cell>
        B. <math|<frac|<sqrt|13>|2>>
      </cell>|<\cell>
        C. <math|<sqrt|7>>
      </cell>|<\cell>
        D. <math|<sqrt|13>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5728\>\<#4E00\>\<#4E2A\>\<#6B63\>\<#65B9\>\<#4F53\>\<#4E2D\>\<#FF0C\>\<#8FC7\>\<#9876\>\<#70B9\><math|A>\<#7684\>\<#4E09\>\<#6761\>\<#68F1\>\<#7684\>\<#4E2D\>\<#70B9\>\<#5206\>\<#522B\>\<#4E3A\><math|E>\<#FF0C\><math|F>\<#FF0C\><math|G>.
    \<#8BE5\>\<#6B63\>\<#65B9\>\<#5F62\>\<#622A\>\<#53BB\>\<#4E09\>\<#68F1\>\<#9525\>A-EFG\<#540E\>\<#FF0C\>\<#6240\>\<#5F97\>\<#591A\>\<#9762\>\<#4F53\>\<#7684\>\<#4E09\>\<#89C6\>\<#56FE\>\<#4E2D\>\<#FF0C\>\<#6B63\>\<#89C6\>\<#56FE\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF0C\>\<#5219\>\<#76F8\>\<#5E94\>\<#7684\>\<#4FA7\>\<#89C6\>\<#56FE\>\<#662F\><underline|<space|3em>>

    <image|<tuple|<#89504E470D0A1A0A0000000D49484452000000AC000000C8080600000075540A94000000097048597300000B1300000B1301009A9C180000125149444154789CEDDD794C14E71B07F0EFECC2224755C472888A2878B61EA878565454D40AE2119526ADB6D4C6686C6AA490B6F1C2468DC6C6B616635B434362B56A1544A0220AD58807168FC8A178022D220852601758E0FDFD41777EB0EC2ECB39FB2ECF2721EE0E2FF33E8B5F86E17D67DE1518630C0000064068F42FB41E6B9E6B34DE6E0CED7DE9DAAEAF4D4BFBD0D7165AFBD64530A2ADF6F7405F0DDADF43EDEF17D3F35857BD86F6DD781FFAF6ABEBB9767F6DAD43FBF3FAB6B594275DFBD6F51AFE7B240882F0FFC01262DA04411064521741486B5060095728B0842B162D35C8CACA82ADAD2D2C2C5A6C4A489B30C6A0542A61696989418306196C6B30852B57AEC4891327606363031B1B9B8EAC9110517D7D3D4A4A4AA0502890909080D9B367EB6FCC0C90C9640C0D630CF4411F5DF2111616A6378F400B47D8FEFDFB233737170A85026BD6AC815AAD36D49C9036292D2D45747434044180B7B7B7C1B60603AB390DB0B5B5C5E1C3873BAE42421AC9CCCC4474743400402E971B6C4BA304447275757546B7A5C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255CA1C012AE5060095728B0842B1458C2150A2CE10A05967085024BB84281255C3118D8D7AF5F03004A4B4BBBA418425A6230B0454545E2E359B366757A3184B4C46060DDDCDCC4C7292929F8F8E38F515757D7E94511A28FC1C02A148A26CF8F1C3982C0C0C04E2D8810438CFAA3AB5FBF7EE2E373E7CE61FEFCF974A42592302AB02A950A4AA5128E8E8E0080F3E7CF233838183535359D5A1C21DA8C1ED6B2B6B6C69D3B77C4E7478F1E6D76CA4048676BD538AC8B8B0BAAAAAAE0E6E686C78F1F77564D84E865D1DA2FB0B2B2C2B367CF3AA114425A46335D842B1D16D8ECEC6C6CDBB6ADA37647884EAD3E25D0A5A0A00013264C4065652552535371E1C2858ED82D21CD74D81156332E9B949484CF3EFB0CB5B5B51DB56B42441D1258171717646464C0CECE0E8220E0DB6FBF4540404047EC9A90263AEC083B78F06014141480310600484848C0C2850B3B6AF78400E8E051023B3B3B141717C3D9D919404368376EDCD8915D906EAEC387B51C1C1C9ACC883D7FFEBCA3BB20DD58A78CC33A3939A1BABA1A010101387DFA74677441BAA90E19D6D245A150202626A6B3764FBA299AE9225CE9F2C05EB972056161615DDD2D31139D764AA0CB8D1B37E0EBEB0BB55A8DE4E464DCBC79B32BBB2766A04B8FB043860C818545C3CF485A5A1A56AD5A05B55ADD952510CE756960FBF6ED8BACAC2CF4E9D3078220E0B7DF7EC3A2458BBAB204C2B92E3F87757373436E6EAE382396989888193366D03D62C428928C12D8DADAA2B4B4549C11BB72E50A828383A528857046B261ADDEBD7B379911F3F4F494AA14C21149C7619D9C9CA0542AB17EFD7A7CF5D5575296423821F9C481B5B5357EF8E107A9CB209C903CB084B486C906363C3C1C1F7EF8A1D4651013D3A5335DC6DAB469130E1C380000B873E70E6EDFBE2D7145C45498E41176CF9E3D78E38D3700340436303090964522004C34B0565656C8CECE16D7F28A898981BFBFBFC4551153609281051A564CCCCFCF179F27262662DAB469A8AFAF97B02A2235930D2C00585A5AA2A4A4042E2E2E0080D4D4547CF1C517125745A464D28105007B7B7BA4A7A70368B8C9916E1FEFDE4C7294409BB3B3332A2B2BC5D302D27D99FC1156C3C6C68696AB27FC04561FC69878A922317F5C07B6ACAC0C3367CEC4B265CBA42E8574112ECE61F5993469121E3C7800001833660CEEDEBD2B7145A4B3717D84CDCACA828D8D0D00E0DEBD7BF0F7F7A7193133C775600541404E4E8E384E7BEEDC395A80CECC711D58A06146ACF11B845CBC7811E3C78FA7193133C57D6081868BC0CBCACAD0BF7F7F00407A7A3ABEFBEE3B89AB229DC12C020B003D7BF6C45F7FFD052B2B2B0C1C3810AB57AF96BA24D209B81E25D0E6E8E888972F5F422E97C3D6D656EA72482730ABC0020D475A62BECCE694A025757575F4462166A05B04F6DEBD7B707474C4DAB56BA52E85B453B708ECCA952B515252825F7EF9053E3E3E529743DAA15B04362B2B0BFDFAF503005CBE7C19414141B49617A7BA45608186B15957575700C0F1E3C7B162C50A892B226DD16D02EBE4E484FCFC7C38383800004E9F3E8DD9B3674B5C1569AD6E13588DE2E2628C1C391200909C9C8C93274F4A5C11698D6E1758A061794F6B6B6BCC993387EE62E08CD94D1C18A34F9F3E282E2E162F4D24FCE89647580014564E75DBC0EA93939383CACA4AA9CB207A50601B898C8CC4D0A143111414247529440F0AEC7FEAEAEAB071E346088280D8D8588C183142EA92880E14D8FFC8E572949797C3CECE0E00909D9D8D59B36641A552495C19698C02DB88200878F4E811060C180000484949C1DCB97325AE8A344681D5E2E8E888A74F9F42266BF8D65CBD7A15C

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        C. <image|<tuple|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
      </cell>|<\cell>
        D. <image|<tuple|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
      </cell>>>>
    </wide-tabular>

    <item>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#516C\>\<#6BD4\>\<#4E3A\><math|q>\<#FF0C\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#4E3A\><math|S<rsub|n>>\<#FF0C\>\<#8BBE\>\<#7532\>\<#FF1A\><math|q\<gtr\>0>\<#FF0C\>\<#4E59\>\<#FF1A\><math|<around*|{|S<rsub|n>|}>>\<#662F\>\<#9012\>\<#589E\>\<#6570\>\<#5217\>\<#FF0C\>\<#5219\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. \<#7532\>\<#662F\>\<#4E59\>\<#7684\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>\<#4F46\>\<#4E0D\>\<#662F\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        B. \<#7532\>\<#662F\>\<#4E59\>\<#7684\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>\<#4F46\>\<#4E0D\>\<#662F\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        C. \<#7532\>\<#662F\>\<#4E59\>\<#7684\>\<#5145\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        D. \<#7532\>\<#65E2\>\<#4E0D\>\<#662F\>\<#4E59\>\<#7684\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>\<#4E5F\>\<#4E0D\>\<#662F\>\<#4E59\>\<#7684\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>>>
    </wide-tabular>

    <item>2020\<#5E74\>12\<#6708\>8\<#65E5\>\<#FF0C\>\<#4E2D\>\<#56FD\>\<#548C\>\<#5C3C\>\<#6CCA\>\<#5C14\>\<#8054\>\<#5408\>\<#516C\>\<#5E03\>\<#73E0\>\<#7A46\>\<#6717\>\<#739B\>\<#5CF0\>\<#6700\>\<#65B0\>\<#9AD8\>\<#7A0B\>\<#4E3A\>8848.86\<#FF08\>\<#5355\>\<#4F4D\>\<#FF1A\>m\<#FF09\>\<#FF0C\>\<#4E09\>\<#89D2\>\<#9AD8\>\<#7A0B\>\<#6D4B\>\<#91CF\>\<#6CD5\>\<#662F\>\<#73E0\>\<#5CF0\>\<#9AD8\>\<#7A0B\>\<#6D4B\>\<#91CF\>\<#65B9\>\<#6CD5\>\<#4E4B\>\<#4E00\>.
    \<#5982\>\<#56FE\>\<#662F\>\<#4E09\>\<#89D2\>\<#9AD8\>\<#7A0B\>\<#6D4B\>\<#91CF\>\<#6CD5\>\<#7684\>\<#4E00\>\<#4E2A\>\<#793A\>\<#610F\>\<#56FE\>\<#FF0C\>\<#73B0\>\<#6709\><math|A>,<math|B>,<math|C>\<#4E09\>\<#70B9\>\<#FF0C\>\<#4E14\><math|A>,<math|B>,<math|C>\<#5728\>\<#540C\>\<#4E00\>\<#6C34\>\<#5E73\>\<#9762\>\<#4E0A\>\<#7684\>\<#6295\>\<#5F71\><math|A<rsup|<rprime|'>>>,<math|B<rsup|<rprime|'>>>,<math|C<rsup|<rprime|'>>>\<#6EE1\>\<#8DB3\><math|\<angle\>A<rsup|<rprime|'>>C<rsup|<rprime|'>>B<rsup|<rprime|'>>=45<rsup|\<circ\>>>\<#FF0C\><math|\<angle\>A<rsup|<rprime|'>>B<rsup|<rprime|'>>C<rsup|<rprime|'>>=60<rsup|\<circ\>>>.
    \<#7531\><math|C>\<#70B9\>\<#6D4B\>\<#5F97\><math|B>\<#70B9\>\<#7684\>\<#4EF0\>\<#89D2\>\<#4E3A\><math|15<rsup|\<circ\>>>\<#FF0C\><math|BB<rsup|<rprime|'>>>\<#4E0E\><math|CC<rsup|<rprime|'>>>\<#7684\>\<#5DEE\>\<#4E3A\>100\<#FF1B\>\<#7531\><math|B>\<#70B9\>\<#6D4B\>\<#5F97\><math|A>\<#70B9\>\<#7684\>\<#4EF0\>\<#89D2\>\<#4E3A\><math|45<rsup|\<circ\>>>\<#FF0C\>\<#5219\><math|A>,<math|C>\<#4E24\>\<#70B9\>\<#5230\>\<#6C34\>\<#5E73\>\<#9762\><math|A<rsup|<rprime|'>>B<rsup|<rprime|'>>C<rsup|<rprime|'>>>\<#7684\>\<#9AD8\>\<#5EA6\>\<#5DEE\><math|AA<rsup|<rprime|'>>-CC<rsup|<rprime|'>>>\<#7EA6\>\<#4E3A\>\<#FF08\><math|<sqrt|3>\<thickapprox\>1.732>\<#FF09\><underline|<space|3em>>

    <image|<tuple|<#89504E470D0A1A0A0000000D494844520000016000000140080600000082CDA67A000000097048597300000B1300000B1301009A9C180000200049444154789CED9D69985C6779A6EF6A75B77AD5626BB556CB966563BC81F7DD06DB80D91703214002D9132633CC4C324998C9300399846C4C868464C2924042081808061BAFD8C62BDE6D2C5BB26C49B66CCBDAF75DEA9A1FF739734AEDEE567577559D5ADEFBBAEA6A7577A9EAEBEEAAE7BCDFF3BD0B04411004411004411004411004411004411004411004411004411004411004411004411004411004875100DA938F411DD096F7028220A8199381F3938F411D10021C04AD41177009F0EF80F939AF250882A0A5380FF8265004DE9AF35A8284888083A035783F700D3000F410EFFDBAA03DEF05044150557AD07A38010FDF06800E7CEFEFCF715D0171150C8266672670357008781645B80BE8CC73518184000741F3D2091C034C059E011E47019E0AF4E5B8AE20212C8820685E2E03CE05AE43EB214D3FEBC12838C899888083A03999089C8611F0EDC04A14610801AE1B428083A0F9E8C2B4B32EB41E360207D07E2800DD28D041CE84000741F3D18369671B81AF63E4BB19D850F2FD10E03A200438089A8B3EB41EE6609AD94E601A703459E643376141D40571081704CDC5C9C095C0268C74CF41E19D0ECC4EEED34544C075410870103417A70097030F62E47B11FABE9DC9E710025C3784000741735000AEC2C28B9B81BB80BD28B445B423DA303AEE2504B82E08010E82E6A00F9BECAC05BE08BC3CC47D2695DCB7BB46EB0A46200EE182A0F1E902966040F532438B2F588E7C00E8477F38C899888083A071E9405FF772E06DC02E8C8007D39EDCE660D03503588C76C57AB428821C880838081A9389C05CE00CE082E4E340722B7D5F77A2F09E05CCC38AB80D28DC6711D331726542DE0B0882604C4C01CE064E4A3E5F4A96F7BB35F95844BFF72CE0743C7C5B0A3C05EC41F17D09D84656A61CD49018CE17048D499ADBDB8B11EF01B4247661D5DB6E14E08EE47E7D1870A53D803B92EFAF45B10E010E8220A820116005411004411004415047C4215C10B41E8BB128636BDE0B6975220D2D085A8B3E9C8E7C15518E1C044150338E067E195805DC80A969319C3347A2122E085A8369C08538A27E1E7010A766AC22C6D3E746581041D0FCF4A2F8BE0EF383B701B3808B899E10B912021C04CD4D1FF0266C43B91FF83C9623F761B3F6FEFC961684051104CD4581ACB94E1AE55E0A3C0CFC0445784AF2FD9781D7E0ECB8CD355D6500441A5A10342B3381CBD076D8067C972CF23D0EBBA03D880D7DB601CFE7B3CC200882E6A21FF80FC057804F3174BAD9544C45BB1DF8CDDA2D2D28252C8820682E8E45CF773E8AEB8F817D43DC6F0B7646EBC728B8031BFA0435242C8820681EE66273F69381C781DBB0DD64291DC082E4DF7B3015ED004E517E85E88A5653428083A039E8053E84FD819F03BECEAB0FD60A7800F7F3C031C9FD0E25FF5E00DC4F44C13525D2D082A0F199037C0CED8707517CF70C73DF49C07B80B7E0FBFF4ECC9AB884A88AAB39E1010741E3519A6A760A8AE7224C35BB0BB31A86A31D23DE5DC9E76B310D6D22B0109BB347145C2322020E82C62315DF29C0BB70E4D073C075C00B65FCDF7D980F9C3ECE0AE0592CCC985BE9C506C3131170103426F3814F62C4FA2DE00EB2A876B43C8E451B6FC05CE15515585F50061101074163503A5EE80CE0BD7880764F722B577C0B683774963CE60A14E1D3C83224821A10021C048D416A17CCC4BE0E8B31C7F72E46D758FD20FABE1B387C84FD0BC05E8C84A75560BD4119441A5A10340ED380FF8AB9BC3703B7A068964B0105B71B7812788CECC0AD03CB94A7947C3FA83221C041D0189C077C046D873B817BB1B5E4683904BC083C83D57003255FDF818D7B1602DF1FD76A83B2080B2208EA9B02762CBB1C988D96C3BD8C9C6A3612FBF1A06D0D8A6ECA3EB28878014ECF08AA4C44C04150DFCC04FE30F9F73731DB61B8228BF172082BE98E428F7823A3B338825112021C04F5CB39C0AFE301D92D58E5369EF14105AC9AFBEBE4B1877ABC1EF4811703CB5184832A11164410D427AFC70AB70918F53E4065A2D13E2C43BE88A14B8F1F039601E762C55C5045A2102308EA8F99D8DBE100F6757894CA95071FC2B4B51D64A96DA56C408F78060EEF8C3695552422E020A82FCE05FE0FE6EAFE2B9515DF72D9809DD1E6E3448DA04A84000741FD70057035A689DDC1E179BAB5643D7003703C4E530EAA44087010E44F07CE697B376EFDFF1653CDAA95EDD0C6C8EFFDCD986B3C1DCB93832A11021C04F973128E8B5F01FC057636ABD6648AB412AE8BC3FB4B9452C489C9EBB16FC412BC48041526D2D082205FDE04BC1D3B90DD8C25C0431D8E5582025925DC1DC0D3D81B623866E3CCB87EBC288CA5F22E188110E020C8872EE044E09D38A1F86F30FDABDAECC5CE67CB18597C41C19D83E3ED7F8273E38220081A9A36CC2EB81EF8039C6651AFC1D0C7B118E3DCBC17D28CD4EB1F3D089A9977003F073C84B6C3D354CF76184C2F1661CCC074B34323DF9D69E801BF92DC7F7B5557D76284000741EDE8C26E63176014FC7560690D9FBF804D767E1DFBFE3EC891D3DC3A70DDC7A325F14C3517D86A44164410D4860E14B1DFC2FE0B7F88590FB5A617B80A2F0213CBB8FF4BD881ED44E0B5555C574B12A5C841501BDE087C18F821E6D86EC9712D47CA032E652746E969239F29D80AB3569649531311701054972EE0ADC0F9D8D5EC56F2897C4B39C491BDDF52B6024F61C07636E545CE411984000741F5E8034EC103B72EE08F81D5792EA884E18

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. 346
      </cell>|<\cell>
        B. 373
      </cell>|<\cell>
        C. 446
      </cell>|<\cell>
        D. 473
      </cell>>>>
    </wide-tabular>

    <item>\<#82E5\><math|\<alpha\>\<in\><around*|(|0,<frac|\<pi\>|2>|)>>\<#FF0C\><math|tan
    2*\<alpha\>=<frac|cos \<alpha\>|2-sin
    \<alpha\>>>\<#FF0C\>\<#5219\><math|tan \<alpha\>=><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<frac|<sqrt|15>|15>>
      </cell>|<\cell>
        B. <math|<frac|<sqrt|5>|5>>
      </cell>|<\cell>
        C. <math|<frac|<sqrt|2>|4>>
      </cell>|<\cell>
        D. <math|<frac|<sqrt|3>|4>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5C06\>4\<#4E2A\>1\<#548C\>2\<#4E2A\>0\<#968F\>\<#673A\>\<#6392\>\<#6210\>\<#4E00\>\<#884C\>\<#FF0C\>\<#5219\>2\<#4E2A\>0\<#4E0D\>\<#76F8\>\<#90BB\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<frac|1|3>>
      </cell>|<\cell>
        B. <math|<frac|2|5>>
      </cell>|<\cell>
        C. <math|<frac|2|3>>
      </cell>|<\cell>
        D. <math|<frac|4|5>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\>A,B,C\<#662F\>\<#534A\>\<#5F84\>\<#4E3A\>1\<#7684\>\<#7403\><math|O>\<#7684\>\<#7403\>\<#9762\>\<#4E0A\>\<#7684\>\<#4E09\>\<#4E2A\>\<#70B9\>\<#FF0C\>\<#4E14\><math|AC\<perp\>BC>\<#FF0C\><math|AC=BC=1>\<#FF0C\>\<#5219\>\<#4E09\>\<#68F1\>\<#9525\><math|O-ABC>\<#7684\>\<#4F53\>\<#79EF\>\<#4E3A\><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<frac|<sqrt|2>|12>>
      </cell>|<\cell>
        B. <math|<frac|<sqrt|3>|12>>
      </cell>|<\cell>
        C. <math|<frac|<sqrt|2>|4>>
      </cell>|<\cell>
        D. <math|<frac|<sqrt|3>|4>>
      </cell>>>>
    </wide-tabular>

    <item>\<#8BBE\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>>\<#7684\>\<#5B9A\>\<#4E49\>\<#57DF\>\<#4E3A\><math|R>\<#FF0C\><math|f<around*|(|x+1|)>>\<#4E3A\>\<#5947\>\<#51FD\>\<#6570\>\<#FF0C\><math|f<around*|(|x+2|)>>\<#4E3A\>\<#5076\>\<#51FD\>\<#6570\>\<#FF0C\>\<#5F53\><math|x\<in\><around*|[|1,2|]>>\<#65F6\>\<#FF0C\><math|f<around*|(|x|)>=a*x<rsup|2>+b>.
    \<#82E5\><math|f<around*|(|0|)>+f<around*|(|3|)>=6>\<#FF0C\>\<#5219\><math|f<around*|(|<frac|9|2>|)>=><underline|<space|3em>>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|-<frac|9|4>>
      </cell>|<\cell>
        B. <math|-<frac|3|2>>
      </cell>|<\cell>
        C. <math|<frac|7|4>>
      </cell>|<\cell>
        D. <math|<frac|5|2>>
      </cell>>>>
    </wide-tabular>
  </enumerate>

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

  <\enumerate>
    <assign|item-nr|12><item>\<#66F2\>\<#7EBF\><math|y=<frac|2*x-1|x+2>>\<#5728\>\<#70B9\><math|<around*|(|-1,-3|)>>\<#5904\>\<#7684\>\<#5207\>\<#7EBF\>\<#65B9\>\<#7A0B\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#5411\>\<#91CF\><math|<wide|a|\<vect\>>=<around*|(|3,1|)>>\<#FF0C\><math|<wide|b|\<vect\>>=<around*|(|1,0|)>>\<#FF0C\><math|<wide|c|\<vect\>>=<wide|a|\<vect\>>+k*<wide|b|\<vect\>>>.
    \<#82E5\><math|<wide|a|\<vect\>>\<perp\><wide|c|\<vect\>>>\<#FF0C\>\<#5219\><math|k=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\><math|F<rsub|1>,F<rsub|2>>\<#4E3A\>\<#692D\>\<#5706\>C:
    <with|math-display|true|<math|<frac|x<rsup|2>|16>+<frac|x<rsup|2>|4>=1>>\<#7684\>\<#4E24\>\<#4E2A\>\<#7126\>\<#70B9\>\<#FF0C\><math|P>\<#FF0C\><math|Q>\<#4E3A\><math|C>\<#4E0A\>\<#5173\>\<#4E8E\>\<#5750\>\<#6807\>\<#539F\>\<#70B9\>\<#5BF9\>\<#79F0\>\<#7684\>\<#4E24\>\<#70B9\>\<#FF0C\>\<#4E14\><math|<around*|\||PQ|\|>=<around*|\||F<rsub|1>F<rsub|2>|\|>>\<#FF0C\>\<#5219\>\<#56DB\>\<#8FB9\>\<#5F62\><math|PF<rsub|1>QF<rsub|2>>\<#7684\>\<#9762\>\<#79EF\>\<#4E3A\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=2*cos<around*|(|\<omega\>*x+\<varphi\>|)>>\<#7684\>\<#90E8\>\<#5206\>\<#56FE\>\<#50CF\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF0C\>\<#5219\>\<#6EE1\>\<#8DB3\>\<#6761\>\<#4EF6\><math|<around*|(|f<around*|(|x|)>-f<around*|(|-<frac|7*\<pi\>|4>|)>|)><around*|(|f<around*|(|x|)>-f<around*|(|<frac|4*\<pi\>|3>|)>|)>\<gtr\>0>\<#7684\>\<#6700\>\<#5C0F\>\<#6B63\>\<#6574\>\<#6570\><math|x>\<#4E3A\><underline|<space|3em>>.

    <image|<tuple|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
  </enumerate>

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

  <\enumerate>
    <assign|item-nr|16><item>\<#7532\>\<#3001\>\<#4E59\>\<#4E24\>\<#53F0\>\<#673A\>\<#5E8A\>\<#751F\>\<#4EA7\>\<#540C\>\<#79CD\>\<#4EA7\>\<#54C1\>\<#FF0C\>\<#4EA7\>\<#54C1\>\<#6309\>\<#8D28\>\<#91CF\>\<#5206\>\<#4E3A\>\<#4E00\>\<#7EA7\>\<#54C1\>\<#548C\>\<#4E8C\>\<#7EA7\>\<#54C1\>\<#FF0C\>\<#4E3A\>\<#4E86\>\<#6BD4\>\<#8F83\>\<#4E24\>\<#53F0\>\<#673A\>\<#5E8A\>\<#4EA7\>\<#54C1\>\<#7684\>\<#8D28\>\<#91CF\>\<#FF0C\>\<#5206\>\<#522B\>\<#7528\>\<#4E24\>\<#53F0\>\<#673A\>\<#5E8A\>\<#5404\>\<#751F\>\<#4EA7\>\<#4E86\>200\<#4EF6\>\<#4EA7\>\<#54C1\>\<#FF0C\>\<#4EA7\>\<#54C1\>\<#7684\>\<#8D28\>\<#91CF\>\<#60C5\>\<#51B5\>\<#7EDF\>\<#8BA1\>\<#5982\>\<#4E0B\>\<#8868\>\<#FF1A\>

    <\wide-block>
      <tformat|<cwith|1|1|2|2|cell-halign|c>|<cwith|1|1|3|3|cell-halign|c>|<cwith|1|1|4|4|cell-halign|c>|<cwith|2|2|2|2|cell-halign|c>|<cwith|2|2|3|3|cell-halign|c>|<cwith|2|2|4|4|cell-halign|c>|<cwith|3|3|2|-1|cell-halign|c>|<cwith|3|3|2|2|cell-valign|b>|<cwith|2|-1|1|1|cell-halign|c>|<cwith|4|4|3|3|cell-halign|c>|<cwith|4|4|2|2|cell-halign|c>|<cwith|4|4|4|4|cell-halign|c>|<table|<row|<\cell>
        \;
      </cell>|<\cell>
        \<#4E00\>\<#7EA7\>\<#54C1\>
      </cell>|<\cell>
        \<#4E8C\>\<#7EA7\>\<#54C1\>
      </cell>|<\cell>
        \<#4E09\>\<#7EA7\>\<#54C1\>
      </cell>>|<row|<\cell>
        \<#7532\>\<#673A\>\<#5E8A\>
      </cell>|<\cell>
        150
      </cell>|<\cell>
        50
      </cell>|<\cell>
        200
      </cell>>|<row|<\cell>
        \<#4E59\>\<#673A\>\<#5E8A\>
      </cell>|<\cell>
        120
      </cell>|<\cell>
        80
      </cell>|<\cell>
        200
      </cell>>|<row|<\cell>
        \<#5408\>\<#8BA1\>
      </cell>|<\cell>
        270
      </cell>|<\cell>
        130
      </cell>|<\cell>
        400
      </cell>>>>
    </wide-block>

    \<#FF08\>1\<#FF09\>\<#7532\>\<#673A\>\<#5E8A\>\<#3001\>\<#4E59\>\<#673A\>\<#5E8A\>\<#751F\>\<#4EA7\>\<#7684\>\<#4EA7\>\<#54C1\>\<#4E2D\>\<#4E00\>\<#7EA7\>\<#54C1\>\<#7684\>\<#9891\>\<#7387\>\<#5206\>\<#522B\>\<#662F\>\<#591A\>\<#5C11\>\<#FF1F\>

    \<#FF08\>2\<#FF09\>\<#80FD\>\<#5426\>\<#6709\>99%\<#7684\>\<#628A\>\<#63E1\>\<#8BA4\>\<#4E3A\>\<#7532\>\<#673A\>\<#5E8A\>\<#7684\>\<#4EA7\>\<#54C1\>\<#8D28\>\<#91CF\>\<#4E0E\>\<#4E59\>\<#673A\>\<#5E8A\>\<#7684\>\<#4EA7\>\<#54C1\>\<#8D28\>\<#91CF\>\<#6709\>\<#5DEE\>\<#5F02\>?

    \<#9644\>\<#FF1A\><with|math-display|true|<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|)>>>>

    <block*|<tformat|<table|<row|<cell|<math|P<around*|(|K<rsup|2>\<geqslant\>K|)>>>|<cell|0.050>|<cell|0.010>|<cell|0.001>>|<row|<cell|<math|k>>|<cell|3.841>|<cell|6.635>|<cell|10.828>>>>>

    <item>\<#5DF2\>\<#77E5\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#5404\>\<#9879\>\<#5747\>\<#4E3A\>\<#6B63\>\<#6570\>\<#FF0C\>\<#8BB0\><math|S<rsub|n>>\<#4E3A\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#FF0C\>\<#4ECE\>\<#4E0B\>\<#9762\>\<#2460\>\<#2461\>\<#2462\>\<#4E2D\>\<#9009\>\<#53D6\>\<#4E24\>\<#4E2A\>\<#4F5C\>\<#4E3A\>\<#6761\>\<#4EF6\>\<#FF0C\>\<#8BC1\>\<#660E\>\<#53E6\>\<#5916\>\<#4E00\>\<#4E2A\>\<#6210\>\<#7ACB\>.

    \<#2460\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#662F\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\>\<#FF1B\>\<#2461\>\<#6570\>\<#5217\><math|<around*|{|<sqrt|S<rsub|n>>|}>>\<#662F\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\>\<#FF1B\>\<#2462\><math|a<rsub|2>=3*a<rsub|1>>.

    <item>\<#5DF2\>\<#77E5\>\<#76F4\>\<#4E09\>\<#68F1\>\<#67F1\><math|ABC-A<rsub|1>B<rsub|1>C<rsub|1>>\<#4E2D\>\<#FF0C\>\<#4FA7\>\<#9762\><math|AA<rsub|1>B<rsub|1>B>\<#4E3A\>\<#6B63\>\<#65B9\>\<#5F62\>\<#FF0C\><math|AB=BC=2>\<#FF0C\><math|E>\<#FF0C\><math|F>\<#5206\>\<#522B\>\<#4E3A\><math|AC>\<#548C\><math|CC<rsub|1>>\<#7684\>\<#4E2D\>\<#70B9\>\<#FF0C\><math|BF\<perp\>A<rsub|1>B<rsub|1>>.

    <image|<tuple|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

    (1) \<#8BC1\>\<#660E\>\<#FF1A\><math|BF\<perp\>DE>\<#FF1B\>

    (2) \<#5F53\><math|B<rsub|1>D>\<#4E3A\>\<#4F55\>\<#503C\>\<#65F6\>\<#FF0C\>\<#9762\><math|BB<rsub|1>C<rsub|1>C>\<#4E0E\>\<#9762\><math|DFE>\<#6240\>\<#6210\>\<#7684\>\<#4E8C\>\<#9762\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>\<#6700\>\<#5C0F\>\<#FF1F\>

    <item>\<#629B\>\<#7269\>\<#7EBF\><math|C>\<#7684\>\<#9876\>\<#70B9\>\<#4E3A\>\<#5750\>\<#6807\>\<#539F\>\<#70B9\><math|O>\<#FF0E\>\<#7126\>\<#70B9\>\<#5728\><math|x>\<#8F74\>\<#4E0A\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|l:x=1>\<#4EA4\>C\<#4E8E\>P\<#FF0C\>Q\<#4E24\>\<#70B9\>\<#FF0C\>\<#4E14\><math|OP\<perp\>OQ>.\<#5DF2\>\<#77E5\>\<#70B9\><math|M<around*|(|2,0|)>>\<#FF0C\>\<#4E14\><math|\<odot\>M>\<#4E0E\><math|l>\<#76F8\>\<#5207\>.

    \<#FF08\>1\<#FF09\>\<#6C42\>C\<#FF0C\><math|\<odot\>M>\<#7684\>\<#65B9\>\<#7A0B\>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#8BBE\><math|A<rsub|1>,A<rsub|2>,A<rsub|3>>\<#662F\>C\<#4E0A\>\<#7684\>\<#4E09\>\<#4E2A\>\<#70B9\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|A<rsub|1>A<rsub|2>,A<rsub|1>A<rsub|3>>\<#5747\>\<#4E0E\><math|\<odot\>M>\<#76F8\>\<#5207\>\<#FF0E\>\<#5224\>\<#65AD\>\<#76F4\>\<#7EBF\><math|A<rsub|2>A<rsub|3>>\<#4E0E\><math|\<odot\>M>\<#7684\>\<#4F4D\>\<#7F6E\>\<#5173\>\<#7CFB\>\<#FF0C\>\<#5E76\>\<#8BF4\>\<#660E\>\<#7406\>\<#7531\>\<#FF0E\>

    <item>\<#5DF2\>\<#77E5\><math|a\<gtr\>0>\<#4E14\><math|a\<neq\>1>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=<frac|x<rsup|a>|a<rsup|x>><around*|(|x\<gtr\>0|)>>.

    \<#FF08\>1\<#FF09\>\<#5F53\><math|a=2>\<#65F6\>\<#FF0C\>\<#6C42\><math|f<around*|(|x|)>>\<#7684\>\<#5355\>\<#8C03\>\<#533A\>\<#95F4\>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#82E5\>\<#66F2\>\<#7EBF\><math|y=f<around*|(|x|)>>\<#4E0E\>\<#76F4\>\<#7EBF\><math|y=1>\<#6709\>\<#4E14\>\<#4EC5\>\<#6709\>\<#4E24\>\<#4E2A\>\<#4EA4\>\<#70B9\>\<#FF0C\>\<#6C42\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>.

    <item>\<#5728\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#7CFB\><math|x O
    y>\<#4E2D\>\<#FF0C\>\<#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>\<#7684\>\<#6781\>\<#5750\>\<#6807\>\<#65B9\>\<#7A0B\>\<#4E3A\><math|\<rho\>=2<sqrt|2>*cos
    \<theta\>>.

    \<#FF08\>1\<#FF09\>\<#5C06\><math|C>\<#7684\>\<#6781\>\<#5750\>\<#6807\>\<#65B9\>\<#7A0B\>\<#5316\>\<#4E3A\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#65B9\>\<#7A0B\>\<#FF1B\>

    \<#FF08\>2\<#FF09\>\<#8BBE\>\<#70B9\>A\<#7684\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#4E3A\><math|<around*|(|1,0|)>>\<#FF0C\>M\<#4E3A\>C\<#4E0A\>\<#7684\>\<#52A8\>\<#70B9\>\<#FF0C\>\<#70B9\>P\<#6EE1\>\<#8DB3\><math|<wide|AP|\<vect\>>=<sqrt|2><wide|AM|\<vect\>>>\<#FF0C\>\<#5199\>\<#51FA\>\<#420\>\<#7684\>\<#8F68\>\<#8FF9\><math|C<rsub|1>>\<#7684\>\<#53C2\>\<#6570\>\<#65B9\>\<#7A0B\>\<#FF0C\>\<#5E76\>\<#5224\>\<#65AD\>C\<#4E0E\><math|C<rsub|1>>\<#662F\>\<#5426\>\<#6709\>\<#516C\>\<#5171\>\<#70B9\>.

    <item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=<around*|\||x-2|\|>>\<#FF0C\><math|g<around*|(|x|)>=<around*|\||2*x+3|\|>-<around*|\||2*x-1|\|>>.

    <image|<tuple|<#89504E470D0A1A0A0000000D4948445200000180000001800806000000A4C7B5BF000000097048597300000B1300000B1301009A9C180000200049444154789CEDDD797854E5BD07F0EF39B34F024948423612F645AA10505B3651110AC5A5F62AB65EAA5614B014DB82DA3EB79BDA4B7B6F4BD5564B71A3880BA2B656AD1570A9B2B8A02845842CEC49C8BECD249964B6F3DE3F72CFB008984E7E0384F3FD3C0F0F09C97CF3BEE73DE7FCCE9909F3D394520A9F63FE9376CCE747FE5B57A8FFFFFE63F3241FDB95B1291C3D97E37D7C6C9699A78EF9F84439C71B4357F28EFDFAC91E7B3C27FB19C7FB99C73EF678E338F271C7CE1BC7F9FC447927FAD95DDD1F4EB68DBBB25F747E6DF0E089C8CFEF8D77DE59FB05633EDE5C8FF77D38C1F79EE8B15DF5EF8EC5FC1827F83EA293B31FFF9F8FDD99E2DDB9B463FE4EC463BB92AD75E1E3136575E5B1271AC3BF93D795C7C6F3334E96F545DBF8445FFF77BEBF2BE33B917F77AD8EFFF5B6B6BDA8A848FE82EF8B675B481D27F18E45E2679295E9A77B00448956535383E6E666F87CBED33D14A2330A0B009DD53A3A3A00000D0D0DA8ADAD3DCDA3213AB3B000D0596DE5CA95B18FB76CD9721A474274E6D18EFF2230D1D9213F3F1F1515150080F1E3C7E3BDF7DEFBDCF7B4B6B6E2B5D75EC3B66DDB3073E64C5C74D145477D5D2985CD9B37C3E974E22B5FF9CA291937D1A9C03B003A6B0583411C3A7428F6F9FBEFBF7FDCEFEBDDBB37CACACA50595989C99327E3473FFAD1515F2F2D2DC5E4C993316EDCB8848E97E8546301A0B3D6F19EF239B6085C7CF1C5F8C94F7E823BEFBC1381400000F0D8638F1DF53DE6D348393939091A29D1E971825F0325EAF9F6EFDF8F639FE17CEAA9A7307EFC780040656525366EDC880D1B360000DE79E71D00C0CD37DF7CD46356AC5801001833664C82474C746AF10E80CE5A2FBFFCF2E7FE6DFFFEFDB18F333333515454040078FBEDB7515F5F0F4DD3B070E1C2D8F7F87C3ED4D7D70300C68E1D9BE011139D5A2C0074D6FADBDFFEF6B97FFBF0C30F631F3B1C0E8C183102003067CE1C00406E6E2EF2F2F28E9B317DFAF4440D95E8B46001A0B3D29157FA476A6C6C44381C3EEADF6A6A6A70E0C00100C0F9E79F0F97CB15FBDADB6FBF1DFB78D2A449F203253A8D5800E8ACF4D0430F9DF06BBFF9CD6F8EFA7CF7EEDDB18F8F7CFE5F29851D3B760000264E9C283C42A2D38F0580CE4AAFBDF6DA09BFF6C8238F1CF579525252ECE3BE7DFBC63E6E6B6BC3B66DDB0000F3E7CF171E21D1E9C70240671D9FCF87C6C6C6137EBDA2A2E2A8F7051A33660C060E1C0800B8FBEEBB01741690C183070300344DC325975C92B801139D262C0074D6696E6E465D5DDD49BF67EBD6AD477DBE6FDF3EDC7EFBED0887C3183870201E7EF861F4EFDF1F0090919181949494848D97E874E1FF03A0B34E414141EC4DE0745D87D3E984DBEDC6AE5DBB909B9B0BA0F337804CEFBFFF3E9E78E209FCE94F7F82AEEB504A412905BBBDF3F0E8D7AF1F7AF7EE7DEA274294602C0074D6D134EDA8DFE431FFCDE9747EEEDFF7EDDB870913260000264C98809B6EBA099AA6E1BEFBEE03D0F9FAC0C68D1B4FCDC0894E313E05449676F0E0410080DBEDC6B469D3108944F0CA2BAFE0CE3BEF447A7A3AFEF5AF7F1DF52231D1D98405802CEDD24B2FC55D77DD858E8E0E4C993205D9D9D9B8F6DA6BB17CF9721C3C781043860C81A6B1EB169D9DF876D074D6D3340D1E8F07BB77EF3EEA7FF91EABB8B8183939397CC1972C83AF0110FD3FF36D2188AC824F01111159140B00119145B100101159140B00119145B100101159140B00119145B100101159140B00119145B100101159140B00119145B1009065E83A7777A223C5FD5E40A5A5A5D8BA752B32333325C783F2F272E4E7E78B66363535C1E3F1C0ED768B6546A351B4B4B4202D2D0D52EFA7A7691AEAEAEA90999929960900EDEDED00008FC72396A9EB3A2A2B2B919D9D2D96A9691A2A2B2B919999196BC622910974AED7DB6FBF2DB6BF1A8681FAFA7A646767C3300C914C00686868406A6A2A6C369B58A66118686969416A6AAAD87EA5EB3A6A6A6A90919121F66EA99AA6A1A1A1015EAF57F4580D8542686A6A425656965826001C3A74E8A46F2E188FE6E6660C1D3A14858585A2B92712F7BB818E1F3F1E1F7CF081F47888C4699A265A508912A9A0A020D6A722D1E2BE271E316204CE3FFFFC58FB3C893F870E1D0200ECDAB54B3477ECD8B1B8E38E3B4433CD2E519299E6492A10088866F6EFDF1F4B972E15CD7CE69967909191213E7FBBDD8E975F7E593CD7E3F1A0B5B5552CAFACAC2C21EB9F9D9D8D356BD688667EEF7BDFC38C19334433ABAAAA12327FA7D389C71F7F5C3473E1C2851834689068A6CFE7030094949488E65E71C515B10E75A742DC05201A8DC6FE483137AADFEF17CB043AC71A0C0645335B5B5B45F38ED4DCDC2C9A67180602818068665B5B1B945208854262993E9F0F4AA9846D5BC9ED6AEEAB92FB3FD0B9566D6D6DA299C1601091484434D39CBFF47E9588CC603008C330A094DC5DA0B92F499FABC2E1B0F83E75327C558C88C8A2580088882C8A058088C8A2580088882C8A058088C8A2580088882C8A058088C8A2580088882C8A058088C8A2580088882C8A058088C8A2580088882C8A058088C8A2580088882C8A058088C8A2580088882C8A058088C8A2E22E00BAAE43D775D1E6D55EAFF7A8BFA5E8BA0E87C3219A29D9B4FA58494949A2799AA6C1E57289669A794EA7532C333939199AA6256CDB4A6E57731F95DCFF81C4AC95C3E1101F67A28E55000999BFA66962CDEB81C3FB92F4FC6D369BF85A9D0C9

    (1) \<#753B\>\<#51FA\><math|y=f<around*|(|x|)>>\<#548C\><math|y=g<around*|(|x|)>>\<#7684\>\<#56FE\>\<#50CF\>\<#FF1B\>

    (2) \<#82E5\><math|f<around*|(|x+a|)>\<geqslant\>g<around*|(|x|)>>\<#FF0C\>\<#6C42\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>.
  </enumerate>
</body>

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

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