planet/高考数学/2021年浙江省高考数学试题.tm

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<style|<tuple|generic|chinese>>

<\body>
  <doc-data|<doc-title|2021\<#5E74\>\<#6D59\>\<#6C5F\>\<#7701\>\<#9AD8\>\<#8003\>\<#6570\>\<#5B66\>\<#8BD5\>\<#9898\>>>

  <\with|par-mode|center>
    <\section*>
      \<#7B2C\>I\<#5377\> \<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>40\<#5206\>\<#FF09\>
    </section*>
  </with>

  <subsubsection*|\<#4E00\>\<#3001\>\<#9009\>\<#62E9\>\<#9898\>>

  <\enumerate>
    <item>\<#8BBE\>\<#96C6\>\<#5408\><math|A=<around*|{|x\|x\<geqslant\>1|}>,B=<around*|{|x\|-1\<less\>x\<less\>-2|}>>\<#FF0C\>\<#5219\><math|A\<cap\>B=>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<around*|{|x\|x\<gtr\>-1|}>>
      </cell>|<\cell>
        B. <math|<around*|{|x\|x\<geqslant\>1|}>>
      </cell>|<\cell>
        C. <math|<around*|{|x\|-1\<less\>x\<less\>1|}>>
      </cell>|<\cell>
        D. <math|<around*|{|x\|1\<leqslant\>x\<less\>2|}>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|a\<in\>R>\<#FF0C\><math|<around*|(|1+a i|)>
    i=3+i>\<#FF0C\>\<#FF08\><math|i>\<#4E3A\>\<#865A\>\<#6570\>\<#5355\>\<#4F4D\>\<#FF09\>\<#FF0C\>\<#5219\><math|a=>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. -1
      </cell>|<\cell>
        B. 1
      </cell>|<\cell>
        C. -3
      </cell>|<\cell>
        D. 3
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\>\<#975E\>\<#96F6\>\<#5411\>\<#91CF\><math|<wide|a|\<vect\>>,<wide|b|\<vect\>>,<wide|c|\<vect\>>>\<#FF0C\>\<#5219\><math|<wide|a|\<vect\>>\<cdot\><wide|c|\<vect\>>=<wide|b|\<vect\>>\<cdot\><wide|c|\<vect\>>>\<#662F\><math|<wide|a|\<vect\>>=<wide|b|\<vect\>>>\<#7684\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. \<#5145\>\<#5206\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>|<\cell>
        B. \<#5FC5\>\<#8981\>\<#4E0D\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        C. \<#5145\>\<#5206\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>|<\cell>
        D. \<#65E2\>\<#4E0D\>\<#5145\>\<#5206\>\<#53C8\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>>>
    </wide-tabular>

    <item>\<#67D0\>\<#51E0\>\<#4F55\>\<#4F53\>\<#7684\>\<#4E09\>\<#89C6\>\<#56FE\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF0C\>\<#5219\>\<#8BE5\>\<#51E0\>\<#4F55\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#662F\>

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

    <image|<tuple|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

    <item>\<#82E5\>\<#5B9E\>\<#6570\><math|x,y>\<#6EE1\>\<#8DB3\>\<#7EA6\>\<#675F\>\<#6761\>\<#4EF6\><choice|<tformat|<table|<row|<cell|<math|x+1\<geqslant\>0>>>|<row|<cell|<math|x-y\<leqslant\>0>>>|<row|<cell|<math|2*x+3*y-1\<leqslant\>0>>>>>>\<#FF0C\>\<#5219\><math|z=x-<frac|1|2>y>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#662F\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. -2
      </cell>|<\cell>
        B. <math|-<frac|3|2>>
      </cell>|<\cell>
        C. <math|-<frac|1|2>>
      </cell>|<\cell>
        D. <math|<frac|1|10>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5982\>\<#56FE\>\<#5DF2\>\<#77E5\>\<#6B63\>\<#65B9\>\<#4F53\><math|ABCD-A<rsub|1>B<rsub|1>C<rsub|1>D<rsub|1>>\<#FF0C\><math|M,N>\<#5206\>\<#522B\>\<#662F\><math|A<rsub|1>D,D<rsub|1>B>\<#7684\>\<#4E2D\>\<#70B9\>\<#FF0C\>\<#5219\>

    <image|<tuple|<#89504E470D0A1A0A0000000D49484452000002220000020C0806000000C812C76C000000097048597300000B1300000B1301009A9C180000200049444154789CEC9DE7571BC9B6F61FE59C4104030E381BF0CC9C3977CEBD67DD2FEFDF7E4F9C33E300C6C606930528AB95A596F47EC0BB5C2AAA2591C3ECDF320B2C75B7BA5B5D554FED54B65EAFD703C3300CC330CC3560BFEE136018866118E68F0B0B118661188661AE0D16220CC3300CC35C1B2C441886611886B9365888300CC3300C736DB0106118866118E6DA6021C2300CC330CCB5C1428461188661986B838508C3300CC330D7060B118661188661AE0D16220CC3300CC35C1B2C441886611886B9365888300CC3300C736DB0106118866118E6DA6021C2300CC330CCB5C1428461188661986B838508C3300CC330D7060B118661188661AE0D16220CC3300CC35C1B2C441886611886B9365888300CC3300C736DB0106118866118E6DA6021C2300CC330CCB5C1428461188661986B838508C3300CC330D7060B118661188661AE0D16220CC3300CC35C1B2C441886611886B9365888300CC3300C736DB0106118866118E6DA6021C2300CC330CCB5C1428461188661986B838508C3300CC330D7060B118661188661AE0D16220CC3300CC35C1B2C441886611886B9365888300CC3300C736DB0106118866118E6DA6021C2300CC330CCB5C1428461188661986B838508C3300CC330D7060B118661188661AE0D16220CC3300CC35C1BCEEB3E0186E9F57A03DFB7D96C03B7A3F7CF7AFC619FCB300CC35C1E2C44985B47AFD713E2C26E3FBF518F8ED5EBF584F86011C2300C7335B010616E0CA35A2E7ABD1EBADD2E80D104837A5CDD3E743C1D2C4A1886612E0F1622CC8D40B64AA8AFDB6C3661F9206B080907BBDD0E9BCD26F69345836C3991DF932D1FB48DCE2AA21E8F611886B97858883097C659633AE4FDBBDD2E6C369BF8B1DA4E15223AC1C2300CC3DC3C58883037023536C3CAF2413FAAB0502D2AEAFEAA90514592DD6EEF7B4D6761611886612E1E1622CCA5336C50575F27F7889515447E7D14A160E59219761E0CC330CCE5C34284B954CE9A3A0B1C0B03A7D329FEA6E38D2222E8FF0E87E3C4FEBA733BADB8611886612E061622CC953068701F164BA20694AAFBEA8EAD8B19518F2B07B98E729E0CC330CCC5C34284B9544E3BB0AB168B41B122EA76EAFEF4F9BA5811FAB1721B718C08C330CCD5C04284B9344E3388EB824D3B9D0E5AAD16DAED364CD3EC4BE5B5B274C822C56EB7C3E17088C056FABF7C6E5602C4CAD2C2300CC35C2C2C44981B836C01E9F57A68369B300C03954A058D4603ED76BB2F90158048EF753A9D4274D0FB2E970B3E9F0F1E8F074EA7132E970B0E87431B6F6265616131C2300C73B9B010616E046A0C48AFD743BBDD866118C8E57228954AA8542AA8D7EB429000108223180C0AC161B7DBD1ED76E172B9E0F7FBE1F3F9E0F3F9100804100A85E0F57AE1743A856B462D60C6E2836118E6EA6021C2DC087481A9ED761B954A05D96C16070707383C3CC4D1D1110CC380699AC212120E8731393989482402AFD70B0068B55AE8F57A70BBDDF0FBFD0887C388C7E3989C9C442C1643201080CBE5D256516531C2300C7375B010616E0C6ADC86DD6E17968B66B3897C3E8FEDED6D1C1D1DA1D168C066B3C1EFF763626242583D5C2E1700A056ABA15AADA25EAFC366B321180C626C6C0C8661E0DEBD7B98989840381C86DBED167123F267330CC33057030B11E646A05A261C0E077C3E1FC6C6C6D06834502C16E1F57AD16AB5502A95502E9761B7DB619A26C6C6C6100C06914C26118D46855BA656ABE1F0F010C56211369B0DB1580CE9741AA55209BD5E0F0E87030E8743B8737495575998300CC35C2E2C44984BE3ACC5CCC835E276BB110E87118D46110C06E176BBD1ED76D16AB550AFD785B5C4E7F3219148606A6A0AB158AC4F88ECECECA052A9A0542A219D4EA35AADA2DD6EC3EBF5C2E572892056359D775815563A4F86616E17E729B27895FC91FA1F1622CCA562655990EB7AC8BFE5ED1D0E073C1E0F7C3E1FBC5EAF70A3500A2F0995643289E9E969CCCCCC201289000082C1207ABD1E0A85020CC340269341A15040A3D180699A2260958EEDF57A4F143893CF852D240C73F718B58E905A5E405E0D7CD071ACE0BA45FDB01061AE04D5C2A0AB742A43160A4AC9ED76BBE8743A304D53A4EC7A3C1E44A3518C8D8D617C7C1CF1781C81404004B1D6EB75DCBB770F070707D8DCDC44369B45B3D984DD6E47241241381CC6C4C40422918848FFB53A77F56F5D55D641D7C330CCCD426DD7BA36AD6E437DCF28FDD928FD836A811DC5127B17E1B5D1994B655069F6410D8DDEEF743A68369BA856AB300C03B55A0DCD661300E0F57A118BC5904824108944E0F3F98470F1F97C884422482693426CB8DD6EB45A2DE472396C6F6F636B6B0B994C06954A05A669F67DFEA0EAADF2FF875D07C330371BB97AB3559B1ED6DE07F503EABEBA1FDAEE8F0A0B11E65A18C56AD0ED76D16EB751AFD7512A958410314D53888D68342AD2713D1E8F102254CC2C1C0E0BEB87D7EB45A7D31129C1E9741AB95C0EE572B9AF36C9280CEA44589C30CCCD47E71E51DBF4A802439EB80C2B9228BFA63B9F3FE224875D33CCA5A23343D2EB6A4976E0D8F74ADB753A1D341A0D94CB65140A05148B45D4EB7574BB5D78BD5E511F24140A896266F4399D4E47C491F87C3E048341F87C3ED86C36216E2A950A8AC5220CC3107547AC3A93618BF6E98AA3310C73B3912B340327DBBD1ACBA6C686C86B600D3ABEFA7FB57AB34EC8FC916021C25C39F2806D151FD2ED76619A26AAD52A4AA51

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. \<#76F4\>\<#7EBF\><math|A<rsub|1>D>\<#4E0E\>\<#76F4\>\<#7EBF\><math|D<rsub|1>B>\<#5782\>\<#76F4\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|MN><math|//>\<#5E73\>\<#9762\><math|ABCD>
      </cell>>|<row|<\cell>
        B. \<#76F4\>\<#7EBF\><math|A<rsub|1>D>\<#4E0E\>\<#76F4\>\<#7EBF\><math|D<rsub|1>B>\<#5E73\>\<#884C\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|MN><math|\<perp\>>\<#5E73\>\<#9762\><math|BDD<rsub|1>B<rsub|1>>
      </cell>>|<row|<\cell>
        C. \<#76F4\>\<#7EBF\><math|A<rsub|1>D>\<#4E0E\>\<#76F4\>\<#7EBF\><math|D<rsub|1>B>\<#76F8\>\<#4EA4\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|MN><math|//>\<#5E73\>\<#9762\><math|ABCD>
      </cell>>|<row|<\cell>
        D. \<#76F4\>\<#7EBF\><math|A<rsub|1>D>\<#4E0E\>\<#76F4\>\<#7EBF\><math|D<rsub|1>B>\<#5F02\>\<#9762\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|MN><math|\<perp\>>\<#5E73\>\<#9762\><math|BDD<rsub|1>B<rsub|1>>
      </cell>>>>
    </wide-tabular>

    <item>\<#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>

    <item>\<#5DF2\>\<#77E5\><math|\<alpha\>,\<beta\>,\<gamma\>>\<#662F\>\<#4E92\>\<#4E0D\>\<#76F8\>\<#540C\>\<#7684\>\<#9510\>\<#89D2\>\<#FF0C\>\<#5219\>\<#5728\><math|sin
    \<alpha\> cos \<beta\>,sin \<beta\> cos \<gamma\>,sin \<gamma\> cos
    \<alpha\>>\<#4E09\>\<#4E2A\>\<#503C\>\<#4E2D\>\<#FF0C\>\<#5927\>\<#4E8E\><frac|1|2>\<#7684\>\<#4E2A\>\<#6570\>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#662F\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. 0
      </cell>|<\cell>
        B. 1
      </cell>|<\cell>
        C. 2
      </cell>|<\cell>
        D. 3
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|a,b\<in\>R,a
    b\<gtr\>0>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=a
    x<rsup|2>+b<around*|(|x\<in\>R|)>>.\<#82E5\><math|f<around*|(|s-t|)>,f<around*|(|s|)>,f<around*|(|s+t|)>>\<#6210\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>\<#FF0C\>\<#5219\>\<#5E73\>\<#9762\>\<#4E0A\>\<#70B9\><math|<around*|(|s,t|)>>\<#7684\>\<#8F68\>\<#8FF9\>\<#662F\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. \<#76F4\>\<#7EBF\>\<#548C\>\<#5706\>
      </cell>|<\cell>
        B. \<#76F4\>\<#7EBF\>\<#548C\>\<#692D\>\<#5706\>
      </cell>|<\cell>
        C. \<#76F4\>\<#7EBF\>\<#548C\>\<#53CC\>\<#66F2\>\<#7EBF\>
      </cell>|<\cell>
        D. \<#76F4\>\<#7EBF\>\<#548C\>\<#629B\>\<#7269\>\<#7EBF\>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#6EE1\>\<#8DB3\><math|a<rsub|1>=1,a<rsub|n+1>=<frac|a<rsub|n>|1+<sqrt|a<rsub|n>>><around*|(|n\<in\>N<rsup|\<ast\>><rsup|*>|)>>.\<#8BB0\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#4E3A\><math|S<rsub|n>>\<#FF0C\>\<#5219\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<frac|1|2>\<less\>S<rsub|100>\<less\><frac|3|2>>
      </cell>|<\cell>
        B. <math|3\<less\>S<rsub|100>\<less\>4>
      </cell>|<\cell>
        C. <math|4\<less\>S<rsub|100>\<less\><frac|9|2>>
      </cell>|<\cell>
        D. <math|<frac|9|2>\<less\>S<rsub|100>\<less\>5>
      </cell>>>>
    </wide-tabular>
  </enumerate>

  <\with|par-mode|center>
    <section*|\<#7B2C\>II\<#5377\> \<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>110\<#5206\>\<#FF09\>>
  </with>

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

  <\enumerate>
    <assign|item-nr|10><item>\<#6211\>\<#56FD\>\<#53E4\>\<#4EE3\>\<#6570\>\<#5B66\>\<#5BB6\>\<#8D75\>\<#723D\>\<#7528\>\<#5F26\>\<#56FE\>\<#7ED9\>\<#51FA\>\<#4E86\>\<#52FE\>\<#80A1\>\<#5B9A\>\<#7406\>\<#7684\>\<#8BC1\>\<#660E\>.\<#5F26\>\<#56FE\>\<#662F\>\<#7531\>\<#56DB\>\<#4E2A\>\<#5168\>\<#7B49\>\<#7684\>\<#76F4\>\<#89D2\>\<#4E09\>\<#89D2\>\<#5F62\>\<#548C\>\<#4E2D\>\<#95F4\>\<#7684\>\<#4E00\>\<#4E2A\>\<#5C0F\>\<#6B63\>\<#65B9\>\<#5F62\>\<#62FC\>\<#6210\>\<#7684\>\<#4E00\>\<#4E2A\>\<#5927\>\<#6B63\>\<#65B9\>\<#5F62\>\<#FF08\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF09\>.\<#82E5\>\<#76F4\>\<#89D2\>\<#4E09\>\<#89D2\>\<#5F62\>\<#76F4\>\<#89D2\>\<#8FB9\>\<#7684\>\<#957F\>\<#5206\>\<#522B\>\<#662F\>3\<#FF0C\>4\<#FF0C\>\<#8BB0\>\<#5927\>\<#6B63\>\<#65B9\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\>\<#4E3A\><math|S<rsub|1>>\<#FF0C\>\<#5C0F\>\<#6B63\>\<#65B9\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\>\<#4E3A\><math|S<rsub|2>>\<#FF0C\>\<#5219\><math|<frac|S<rsub|1>|S<rsub|2>>=><underline|<space|3em>>.

    <image|<tuple|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

    <item>\<#5DF2\>\<#77E5\><math|a\<in\>R>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=><choice|<tformat|<table|<row|<cell|<math|x<rsup|2>-4>,>|<cell|<math|x\<gtr\>2>>>|<row|<cell|<math|<around*|\||x-3|\|>+a>,>|<cell|<math|x\<leqslant\>2>>>>>>\<#FF0C\>\<#82E5\><math|f<around*|[|f<around*|(|<sqrt|6>|)>|]>=3>\<#FF0C\>\<#5219\><math|a=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#591A\>\<#9879\>\<#5F0F\><math|<around*|(|x-1|)><rsup|3>+<around*|(|x+1|)><rsup|4>=x<rsup|4>+a<rsub|1>*x<rsup|3>+a<rsub|2>x<rsup|2>+a<rsub|3>*x+a<rsub|4>>\<#FF0C\>\<#5219\><math|a<rsub|1>=><underline|<space|3em>>\<#FF0C\><math|a<rsub|2>+a<rsub|3>+a<rsub|4>=><underline|<space|3em>>.

    <item>\<#5728\><math|\<triangle\>ABC>\<#4E2D\>\<#FF0C\><math|\<angle\>B=60<rsup|\<circ\>><rsup|>>\<#FF0C\><math|AB=2>\<#FF0C\><math|M>\<#662F\><math|BC>\<#7684\>\<#4E2D\>\<#70B9\>\<#FF0C\><math|AM=2<sqrt|3>>\<#FF0C\>\<#5219\><math|AC=><underline|<space|3em>>\<#FF0C\><math|cos\<angle\>MAC=><underline|<space|3em>>.

    <item>\<#888B\>\<#4E2D\>\<#6709\>4\<#4E2A\>\<#7EA2\>\<#7403\><math|m>\<#4E2A\>\<#9EC4\>\<#7403\>\<#FF0C\><math|n>\<#4E2A\>\<#7EFF\>\<#7403\>.
    \<#73B0\>\<#4ECE\>\<#4E2D\>\<#4EFB\>\<#53D6\>\<#4E24\>\<#4E2A\>\<#7403\>\<#FF0C\>\<#8BB0\>\<#53D6\>\<#51FA\>\<#7684\>\<#7EA2\>\<#7403\>\<#6570\>\<#4E3A\><math|\<xi\>>\<#FF0C\>\<#82E5\>\<#53D6\>\<#51FA\>\<#7684\>\<#4E24\>\<#4E2A\>\<#7403\>\<#90FD\>\<#662F\>\<#7EA2\>\<#7403\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\><frac|1|6>\<#FF0C\>\<#4E00\>\<#7EA2\>\<#4E00\>\<#9EC4\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\><frac|1|3>\<#FF0C\>\<#5219\><math|m-n=><underline|<space|3em>>\<#FF0C\><math|E<around*|(|\<xi\>|)>=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#692D\>\<#5706\><math|<frac|x<rsup|2>|a<rsup|2>>+<frac|y<rsup|2>|b<rsup|2>>=1<around*|(|a\<gtr\>b\<gtr\>0|)>>\<#FF0C\>\<#7126\>\<#70B9\><math|F<rsub|1><around*|(|-c,0|)>>\<#FF0C\><math|F<rsub|2><around*|(|c,0|)><around*|(|c\<gtr\>0|)>>\<#FF0C\>\<#82E5\>\<#8FC7\><math|F<rsub|1>>\<#7684\>\<#76F4\>\<#7EBF\>\<#548C\>\<#5706\><math|<around*|(|x-<frac|1|2>c|)><rsup|2>+y<rsup|2>=c<rsup|2>>\<#76F8\>\<#5207\>\<#FF0C\>\<#4E0E\>\<#692D\>\<#5706\>\<#5728\>\<#7B2C\>\<#4E00\>\<#8C61\>\<#9650\>\<#4EA4\>\<#4E8E\>\<#70B9\><math|P>\<#FF0C\>\<#4E14\><math|PF<rsub|2>\<perp\>x>\<#8F74\>\<#FF0C\>\<#5219\>\<#8BE5\>\<#76F4\>\<#7EBF\>\<#7684\>\<#659C\>\<#7387\>\<#662F\><underline|<space|3em>>\<#FF0C\>\<#692D\>\<#5706\>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#662F\><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#5E73\>\<#9762\>\<#5411\>\<#91CF\><math|<wide|a|\<vect\>>,<wide|b|\<vect\>>,<wide|c|\<vect\>>,<around*|(|<wide|c|\<vect\>>\<neq\>0|)>>\<#6EE1\>\<#8DB3\><math|<around*|\||<wide|a|\<vect\>>|\|>=1,<around*|\||<wide|b|\<vect\>>|\|>=2,<around*|(|<wide|a|\<vect\>>-<wide|b|\<vect\>>|)>\<cdot\><wide|c|\<vect\>>=0>.
    \<#8BB0\>\<#5411\>\<#91CF\><math|<wide|d|\<vect\>>>\<#5728\><math|<wide|a|\<vect\>>,<wide|b|\<vect\>>>\<#65B9\>\<#5411\>\<#4E0A\>\<#7684\>\<#6295\>\<#5F71\>\<#5206\>\<#522B\>\<#4E3A\><math|x>\<#FF0C\><math|y>\<#FF0C\><math|<wide|d|\<vect\>>-<wide|a|\<vect\>>>\<#5728\><math|<wide|c|\<vect\>>>\<#65B9\>\<#5411\>\<#4E0A\>\<#7684\>\<#6295\>\<#5F71\>\<#4E3A\><math|z>\<#FF0C\>\<#5219\><math|x<rsup|2>+y<rsup|2>+z<rsup|2>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\><underline|<space|3em>>.
  </enumerate>

  <subsubsection*|\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>5\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>74\<#5206\>\<#FF0C\>\<#89E3\>\<#7B54\>\<#5E94\>\<#5199\>\<#51FA\>\<#6587\>\<#5B57\>\<#8BF4\>\<#660E\>\<#3001\>\<#8BC1\>\<#660E\>\<#8FC7\>\<#7A0B\>\<#6216\>\<#6F14\>\<#7B97\>\<#6B65\>\<#9AA4\>\<#3002\>\<#FF09\>>

  <\enumerate>
    <assign|item-nr|17><item>\<#8BBE\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=sin
    x+cos x <around*|(|x\<in\>R|)>>.

    <\enumerate-alpha>
      <item>\<#6C42\>\<#51FD\>\<#6570\><math|y=<around*|[|f<around*|(|x+<frac|\<pi\>|2>|)>|]><rsup|2>>\<#7684\>\<#6700\>\<#5C0F\>\<#6B63\>\<#5468\>\<#671F\>\<#FF1B\>

      <item>\<#6C42\>\<#51FD\>\<#6570\><math|y=f<around*|(|x|)>f<around*|(|x-<frac|\<pi\>|2>|)>>\<#5728\><math|<around*|[|0,<frac|\<pi\>|2>|]>>\<#4E0A\>\<#7684\>\<#6700\>\<#5927\>\<#503C\>.
    </enumerate-alpha>

    <item>\<#5982\>\<#56FE\>\<#FF0C\>\<#5728\>\<#56DB\>\<#68F1\>\<#9525\><math|P-ABCD>\<#4E2D\>\<#FF0C\>\<#5E95\>\<#9762\><math|ABCD>\<#662F\>\<#5E73\>\<#884C\>\<#56DB\>\<#8FB9\>\<#5F62\>\<#FF0C\><math|\<angle\>ABC=120<rsup|\<circ\>>>\<#FF0C\><math|AB=1>\<#FF0C\><math|BC=4>\<#FF0C\><math|PA=<sqrt|15>>\<#FF0C\><math|M,N>\<#5206\>\<#522B\>\<#4E3A\><math|BC,PC>\<#7684\>\<#4E2D\>\<#70B9\>\<#FF0C\><math|PD\<bot\>DC>\<#FF0C\><math|PM\<bot\>MD>.

    <image|<tuple|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

    <\enumerate-alpha>
      <item>\<#8BC1\>\<#660E\>\<#FF1A\><math|AB\<bot\>PM>\<#FF1B\>

      <item>\<#6C42\>\<#76F4\>\<#7EBF\><math|AN>\<#4E0E\>\<#5E73\>\<#9762\><math|PDM>\<#6240\>\<#6210\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>.
    </enumerate-alpha>

    <item>\<#5DF2\>\<#77E5\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#4E3A\><math|S<rsub|n>>\<#FF0C\><math|a<rsub|1>=-<frac|9|4>>\<#FF0C\>\<#4E14\><math|4
    S<rsub|n+1>=3 S<rsub|n>-9>.

    <\enumerate-alpha>
      <item>\<#6C42\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#901A\>\<#9879\>\<#FF1B\>

      <item>\<#8BBE\>\<#6570\>\<#5217\><math|<around*|{|b<rsub|n>|}>>\<#6EE1\>\<#8DB3\><math|3*b<rsub|n>+<around*|(|n-4|)>*a<rsub|n>=0>\<#FF0C\>\<#8BB0\><math|<around*|{|b<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#4E3A\><math|T<rsub|n>>\<#FF0C\>\<#82E5\><math|T<rsub|n>\<leqslant\>\<lambda\>*b<rsub|n>>\<#5BF9\>\<#4EFB\>\<#610F\><math|n\<in\>N<rsup|\<ast\>>>\<#6052\>\<#6210\>\<#7ACB\>\<#FF0C\>\<#6C42\><math|\<lambda\>>\<#7684\>\<#8303\>\<#56F4\>.
    </enumerate-alpha>

    <item>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\>F\<#662F\>\<#629B\>\<#7269\>\<#7EBF\><math|y<rsup|2>=2*p*x
    <around*|(|p\<gtr\>0|)>>\<#7684\>\<#7126\>\<#70B9\>\<#FF0C\><math|M>\<#662F\>\<#629B\>\<#7269\>\<#7EBF\>\<#7684\>\<#51C6\>\<#7EBF\>\<#4E0E\><math|x>\<#8F74\>\<#7684\>\<#4EA4\>\<#70B9\>\<#FF0C\>\<#4E14\><math|<around*|\||MF|\|>=2>\<#FF0C\>

    <image|<tuple|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

    <\enumerate-alpha>
      <item>\<#6C42\>\<#629B\>\<#7269\>\<#7EBF\>\<#7684\>\<#65B9\>\<#7A0B\>\<#FF1B\>

      <item>\<#8BBE\>\<#8FC7\>\<#70B9\>F\<#7684\>\<#76F4\>\<#7EBF\>\<#4EA4\>\<#629B\>\<#7269\>\<#7EBF\>\<#4E0E\>A\<#3001\>B\<#4E24\>\<#70B9\>\<#FF0C\>\<#659C\>\<#7387\>\<#4E3A\>2\<#7684\>\<#76F4\>\<#7EBF\><math|l>\<#4E0E\>\<#76F4\>\<#7EBF\><math|MA>\<#FF0C\><math|MB>\<#FF0C\><math|AB>\<#FF0C\><math|x>\<#8F74\>\<#4F9D\>\<#6B21\>\<#4EA4\>\<#4E8E\>\<#70B9\>P\<#FF0C\>Q\<#FF0C\>R\<#FF0C\>N\<#FF0C\>\<#4E14\><math|<around*|\||RN|\|><rsup|2>=<around*|\||PN|\|>\<cdot\><around*|\||QN|\|>>\<#FF0C\>\<#6C42\>\<#76F4\>\<#7EBF\><math|l>\<#5728\><math|x>\<#8F74\>\<#4E0A\>\<#622A\>\<#8DDD\>\<#7684\>\<#8303\>\<#56F4\>.
    </enumerate-alpha>

    <item>\<#8BBE\><math|a>\<#FF0C\><math|b>\<#4E3A\>\<#5B9E\>\<#6570\>\<#FF0C\>\<#4E14\><math|a\<gtr\>1>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>=a<rsup|x>-b
    x+e<rsup|2><around*|(|x\<in\>R|)>>

    <\enumerate-alpha>
      <item>\<#6C42\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>>\<#7684\>\<#5355\>\<#8C03\>\<#533A\>\<#95F4\>\<#FF1B\>

      <item>\<#82E5\>\<#5BF9\>\<#4EFB\>\<#610F\><math|b\<gtr\>2e<rsup|2>>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>>\<#6709\>\<#4E24\>\<#4E2A\>\<#4E0D\>\<#540C\>\<#7684\>\<#96F6\>\<#70B9\>\<#FF0C\>\<#6C42\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#FF1B\>

      <item>\<#5F53\><math|a=e>\<#65F6\>\<#FF0C\>\<#8BC1\>\<#660E\>\<#FF1A\>\<#5BF9\>\<#4EFB\>\<#610F\><math|b\<gtr\>e<rsup|4>>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around*|(|x|)>>\<#6709\>\<#4E24\>\<#4E2A\>\<#4E0D\>\<#540C\>\<#7684\>\<#96F6\>\<#70B9\><math|x<rsub|1>>\<#FF0C\><math|x<rsub|2>>\<#FF0C\>\<#6EE1\>\<#8DB3\><math|x<rsub|2>\<gtr\><frac|b
      ln b|2 e<rsup|2>>x<rsub|1>+<frac|e<rsup|2>|b>>.
    </enumerate-alpha>

    \<#FF08\>\<#6CE8\>\<#FF1A\><math|e=2.71828\<ldots\>>\<#662F\>\<#81EA\>\<#7136\>\<#5BF9\>\<#6570\>\<#7684\>\<#5E95\>\<#6570\>\<#FF09\>
  </enumerate>

  <\note*>
    \<#672C\>\<#8BD5\>\<#5377\>\<#4F7F\>\<#7528\><hlink|\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>|https://gitee.com/XmacsLabs/mogan/>\<#5236\>\<#4F5C\>\<#3002\>
  </note*>
</body>

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</initial>

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      </with> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
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      <no-break><pageref|auto-2>>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|\<#7B2C\>II\<#5377\>
      \<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>110\<#5206\>\<#FF09\>>
      <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><vspace|0.5fn>

      <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-4>>

      <with|par-left|<quote|2tab>|\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>5\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>74\<#5206\>\<#FF0C\>\<#89E3\>\<#7B54\>\<#5E94\>\<#5199\>\<#51FA\>\<#6587\>\<#5B57\>\<#8BF4\>\<#660E\>\<#3001\>\<#8BC1\>\<#660E\>\<#8FC7\>\<#7A0B\>\<#6216\>\<#6F14\>\<#7B97\>\<#6B65\>\<#9AA4\>\<#3002\>\<#FF09\>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
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