mirror of https://gitee.com/XmacsLabs/planet.git
367 lines
204 KiB
Tcl
367 lines
204 KiB
Tcl
<TeXmacs|2.1.2>
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<style|<tuple|generic|chinese|doc>>
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<\body>
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<doc-data|<doc-title|2022\<#5E74\>\<#666E\>\<#901A\>\<#9AD8\>\<#7B49\>\<#5B66\>\<#6821\>\<#62DB\>\<#751F\>\<#5168\>\<#56FD\>\<#7EDF\>\<#4E00\>\<#8003\>\<#8BD5\>>|<doc-subtitle|<with|font|AR
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PL UMing CN|font-base-size|16|\<#6570\><space|2em>\<#5B66\>>>>
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<space|2em>\<#672C\>\<#8BD5\>\<#9898\>\<#5377\>\<#5206\>\<#9009\>\<#62E9\>\<#9898\>\<#548C\>\<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#4E24\>\<#90E8\>\<#5206\>\<#3002\>\<#5168\>\<#5377\>\<#5171\>4\<#9875\>\<#FF0C\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>1\<#81F3\>3\<#9875\>\<#FF1B\>\<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>3\<#81F3\>4\<#9875\>\<#3002\>\<#6EE1\>\<#5206\>150\<#5206\>\<#FF0C\>\<#8003\>\<#8BD5\>\<#65F6\>\<#95F4\>120\<#5206\>\<#949F\>\<#3002\>
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\;
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<strong|\<#8003\>\<#751F\>\<#6CE8\>\<#610F\>\<#FF1A\>>
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<\enumerate>
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<item>\<#7B54\>\<#9898\>\<#524D\>\<#FF0C\>\<#8BF7\>\<#52A1\>\<#5FC5\>\<#5C06\>\<#81EA\>\<#5DF1\>\<#7684\>\<#59D3\>\<#540D\>\<#3001\>\<#51C6\>\<#8003\>\<#8BC1\>\<#53F7\>\<#7528\>\<#9ED1\>\<#8272\>\<#5B57\>\<#8FF9\>\<#7684\>\<#7B7E\>\<#5B57\>\<#7B14\>\<#6216\>\<#94A2\>\<#7B14\>\<#5206\>\<#522B\>\<#586B\>\<#5199\>\<#5728\>\<#8BD5\>\<#9898\>\<#5377\>\<#548C\>\<#7B54\>\<#9898\>\<#7EB8\>\<#89C4\>\<#5B9A\>\<#7684\>\<#4F4D\>\<#7F6E\>\<#4E0A\>\<#3002\>
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<item>\<#7B54\>\<#9898\>\<#65F6\>\<#FF0C\>\<#8BF7\>\<#6309\>\<#7167\>\<#7B54\>\<#9898\>\<#7EB8\>\<#4E0A\>\P\<#6CE8\>\<#610F\>\<#4E8B\>\<#9879\>\Q\<#7684\>\<#8981\>\<#6C42\>\<#FF0C\>\<#5728\>\<#7B54\>\<#9898\>\<#7EB8\>\<#76F8\>\<#5E94\>\<#7684\>\<#4F4D\>\<#7F6E\>\<#4E0A\>\<#89C4\>\<#8303\>\<#4F5C\>\<#7B54\>\<#FF0C\>\<#5728\>\<#672C\>\<#8BD5\>\<#9898\>\<#5377\>\<#4E0A\>\<#7684\>\<#4F5C\>\<#7B54\>\<#4E00\>\<#5F8B\>\<#65E0\>\<#6548\>\<#3002\>
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</enumerate>
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\;
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<\with|par-columns|2>
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<strong|\<#53C2\>\<#8003\>\<#516C\>\<#5F0F\>\<#FF1A\>>
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\<#82E5\>\<#4E8B\>\<#4EF6\>A,B\<#4E92\>\<#65A5\>\<#FF0C\>\<#5219\>
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<math|P<around*|(|A+B|)>=P<around*|(|A|)>+P<around*|(|B|)>>
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\<#82E5\>\<#4E8B\>\<#4EF6\>A,B\<#76F8\>\<#4E92\>\<#72EC\>\<#7ACB\>\<#FF0C\>\<#5219\>
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<math|P<around*|(|AB|)>=P<around*|(|A|)>*P<around*|(|B|)>>
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\<#82E5\>\<#4E8B\>\<#4EF6\>A\<#5728\>\<#4E00\>\<#6B21\>\<#8BD5\>\<#9A8C\>\<#4E2D\>\<#53D1\>\<#751F\>\<#7684\>\<#6982\>\<#7387\>\<#662F\><math|p>\<#FF0C\>\<#5219\><math|n>\<#6B21\>\<#72EC\>\<#7ACB\>\<#91CD\>\<#590D\>\<#8BD5\>\<#9A8C\>\<#4E2D\>\<#4E8B\>\<#4EF6\><math|A>\<#6070\>\<#597D\>\<#53D1\>\<#751F\><math|k>\<#6B21\>\<#7684\>\<#6982\>\<#7387\>
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<math|P<rsub|n><around*|(|k|)>=C<rsup|k><rsub|n>*p<rsup|k><around*|(|1-p|)><rsup|n-k><around*|(|k=0,1,2,\<ldots\>,n|)>>
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\<#53F0\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>
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<math|V=<frac|1|3><around*|(|S<rsub|1>+<sqrt|S<rsub|1>S<rsub|2>>+S<rsub|2>|)>*h>
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\<#5176\>\<#4E2D\><math|S<rsub|1>>,<math|S<rsub|2>>\<#5206\>\<#522B\>\<#8868\>\<#793A\>\<#53F0\>\<#4F53\>\<#7684\>\<#4E0A\>\<#3001\>\<#4E0B\>\<#5E95\>\<#9762\>\<#79EF\>\<#FF0C\><math|h>\<#8868\>\<#793A\>\<#53F0\>\<#4F53\>\<#7684\>\<#9AD8\>
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\<#67F1\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>
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<math|V=S*h>
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\<#5176\>\<#4E2D\><math|S>\<#8868\>\<#793A\>\<#67F1\>\<#4F53\>\<#7684\>\<#5E95\>\<#9762\>\<#79EF\>\<#FF0C\>h\<#8868\>\<#793A\>\<#67F1\>\<#4F53\>\<#7684\>\<#9AD8\>
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\<#9525\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>
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<math|V=<frac|1|3>S*h>
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\<#5176\>\<#4E2D\><math|S>\<#8868\>\<#793A\>\<#9525\>\<#4F53\>\<#7684\>\<#5E95\>\<#9762\>\<#79EF\>\<#FF0C\><math|h>\<#8868\>\<#793A\>\<#9525\>\<#4F53\>\<#7684\>\<#9AD8\>
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\<#7403\>\<#7684\>\<#8868\>\<#9762\>\<#79EF\>\<#516C\>\<#5F0F\>
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<math|S=4*\<pi\>*R<rsup|2>>
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\<#7403\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>
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<math|V=<frac|4|3>*\<pi\>*R<rsup|3>>
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\<#5176\>\<#4E2D\><math|R>\<#8868\>\<#793A\>\<#7403\>\<#7684\>\<#534A\>\<#5F84\>
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</with>
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\;
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\;
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<\with|par-mode|center>
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<strong|<with|font|AR PL UMing CN|font-base-size|14|\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>40\<#5206\>\<#FF09\>>>
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</with>
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\;
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<strong|\<#4E00\>\<#3001\>\<#9009\>\<#62E9\>\<#9898\>\<#FF1A\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>10\<#5C0F\>\<#9898\>\<#FF0C\>\<#6BCF\>\<#5C0F\>\<#9898\>4\<#5206\>\<#FF0C\>\<#5171\>40\<#5206\>\<#3002\>\<#5728\>\<#6BCF\>\<#5C0F\>\<#9898\>\<#7ED9\>\<#51FA\>\<#7684\>\<#56DB\>\<#4E2A\>\<#9009\>\<#9879\>\<#4E2D\>\<#FF0C\>\<#53EA\>\<#6709\>\<#4E00\>\<#9879\>\<#662F\>\<#7B26\>\<#5408\>\<#9898\>\<#76EE\>\<#8981\>\<#6C42\>\<#7684\>\<#3002\>>
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<\enumerate>
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<item>\<#8BBE\>\<#96C6\>\<#5408\><math|A=<around*|{|1,2|}>,B=<around*|{|2,4,6|}>>\<#FF0C\>\<#5219\><math|A\<cup\>B=>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
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A. <math|2>
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</cell>|<\cell>
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B. <math|<around*|{|1,2|}>>
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</cell>|<\cell>
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C. <math|<around*|{|2,4,6|}>>
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</cell>|<\cell>
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D. <math|<around*|{|1,2,4,6|}>>
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</cell>>>>
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</wide-tabular>
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<item>\<#5DF2\>\<#77E5\><math|a,b\<in\>\<bbb-R\>,a+3*i=<around*|(|b+i|)>*i>\<#FF08\><math|i>\<#4E3A\>\<#865A\>\<#6570\>\<#5355\>\<#4F4D\>\<#FF09\>\<#FF0C\>\<#5219\>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
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A. <math|a=1,b=-3>
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</cell>|<\cell>
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B. <math|a=-1,b=3>
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</cell>|<\cell>
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C. <math|a=-1,b=-3>
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</cell>|<\cell>
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D. <math|a=1,b=3>
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</cell>>>>
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</wide-tabular>
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<item>\<#82E5\>\<#5B9E\>\<#6570\><math|x,y>\<#6EE1\>\<#8DB3\>\<#7EA6\>\<#675F\>\<#6761\>\<#4EF6\><math|<with|math-display|true|<choice|<tformat|<table|<row|<cell|x-2\<geqslant\>0,>>|<row|<cell|2*x+y-7\<leqslant\>0,>>|<row|<cell|x-y-2\<leqslant\>0,>>>>>>>\<#5219\><math|z=3*x+4*y>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#662F\>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
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A. <math|20>
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</cell>|<\cell>
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B. <math|18>
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</cell>|<\cell>
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C. <math|13>
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</cell>|<\cell>
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D. <math|6>
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</cell>>>>
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</wide-tabular>
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<item>\<#8BBE\><math|x\<in\>\<bbb-R\>>\<#FF0C\>\<#5219\>\<#201C\><math|sin
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x=1>\<#201D\>\<#662F\>\<#201C\><math|cos x=0>\<#201D\>\<#7684\>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
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A. \<#5145\>\<#5206\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
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</cell>>|<row|<\cell>
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B. \<#5FC5\>\<#8981\>\<#4E0D\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>
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</cell>>|<row|<\cell>
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C. \<#5145\>\<#5206\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
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</cell>>|<row|<\cell>
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D. \<#65E2\>\<#4E0D\>\<#5145\>\<#5206\>\<#4E5F\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
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</cell>>>>
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</wide-tabular>
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<item>\<#67D0\>\<#51E0\>\<#4F55\>\<#4F53\>\<#7684\>\<#4E09\>\<#89C6\>\<#56FE\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF08\>\<#5355\>\<#4F4D\>\<#FF1A\>cm\<#FF09\>\<#FF0C\>\<#5219\>\<#8BE5\>\<#51E0\>\<#4F55\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#FF08\>\<#5355\>\<#4F4D\>\<#FF1A\><math|cm<rsup|3>>\<#FF09\>\<#662F\>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
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A. <math|22\<pi\>>
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</cell>|<\cell>
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B. <math|8\<pi\>>
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</cell>>|<row|<\cell>
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C. <math|<frac|22|3>\<pi\>>
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</cell>|<\cell>
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D. <math|<frac|16|3>\<pi\>>
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</cell>>>>
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</wide-tabular>
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C54365096599C345F2342E4DE64C184F9C7801EACE19AF79C0E1A1A1A1D3A74F3FF0C003D6DACACACAF9F9F923478E4C4C4C7CFBEDB7FDFDFDF3F3F31D1D1DDC6E648CC96432C78F1F37C6ECDCB913CF999C9C3C77EEDCE9D3A7D15FF9E4C993172E5CE8EAEA8AC7E3BFFCF2CBD0D0502693C96432172F5EFCF8E38F8320E8ECEC5C5C5C7CEBADB7D2E9F4AE5DBB0A7EB39AF283D8433825883108C1DFB1B78CEBF5119BE7C28E4C0478CBB1979F37DE510A9FD6446A728DDCF9022E6ABDF1852B748DF047AE6A336EE3FB805A812F3C62E58216254033C6C7C7DF7DF7DD871E7A084B3FCBCBCB478F1E3D7FFEFCF4F4F4D4D4545757577777F7962D5B9CEFB2F1E38F3F7EF2C927CEB93BEEB88393BC72E5CA871F7EF8E5975FDEBC79F3E8D1A3E7CE9D6B6B6B8393323A3A7AE1C285C9C9C953A74E954AA58E8E8E3FFFFCD339575F5F7FF0E0C16FBEF9666161819EA706004E2EA296293B39D35AAB071AAECB390B340AE50FE193552C54CF8C311B48B8B8B8383B3B6BC43CDAB0DF8C5FA31D3259A5DB7B1717170B85422E97432F6BD4DB0492B534DED2E015A8D9B6D6621705E1052505C78E1DEBE8E8D8BF7F3F36755FBC7871FBF6ED030303C6987FFEF9677171F1C08103A9540AE2B2B6B6F6FDF7DF673299D6D6D67BEEB98714DCBD7B776767676363636D6DEDE5CB97E7E7E7CF9E3D8B19EDDAB5CB5A5B555595CFE773B95C5F5F5F6B6BABB5766969A9A7A7677979F9A79F7E8AC7E35802443F152B3E11114839A46A44BD04D860375FB158D4166F0A8C562E3ED08AF7C40F1B4B47E8CDCC5208FC829E98F349A99A9A9A858585AD5BB7E237280C02DDD3E9B4F18790E251287E62784F8F0B0F44A2BDE83709D21D804DBA71E3C673CF3DE7BCC97CF8E187ABABAB4F9C38313737F7E0830FEED8B163767696CB544110F4F5F5B5B7B70F0C0C1C3870E0AEBBEEB2D65EBE7C796C6C6C6C6C2C994C160A859696968A8A8AA6A626207FA150585E5E9E9898482412A954EAABAFBEA26A3AE79A9A9AAE5EBDEA9C837567084F06303851C34987DE84836BF5F54104ECCB2A6736394433418035DE066D04B66CD6C37BF47E272BDF5C6481D35F2C16B58718EB2918183871D0E916D2F78BC7E3E9749A8E8646579006FA578383833FFFFC734B4B4B2A95AAACACECEDED7DEFBDF73A3B3BE1FB757676E2F35F7FFDB573E74EE75C369B1D1E1E9E9B9B6B6D6DCDE7F35353538542A1BBBB9BABFEFFFDF75F4747475D5D5D32991C1F1FD7123664C34D7881830901601D3944BA3116A4AB42DF0F5699096B7ADA46FA7B0765C91A703708272D63CA4F277180CA14F91F0441369B255ACECDCDA1E30D8D335C64F0A3BABA1A6B6346D2C1361CBBE86C9D7837757575C3C3C3D6970518637A7A7A0E1E3C383131F1F4D34FCFCECE5EBA7469FBF6ED98E4EAEAEAF0F0F0E4E464B158BCFBEEBB31CE471E79041DEEB76DDB363333D3D9D9D9D5D585B214E7DCF5EBD7BBBABA7A7B7B878686F6EFDF7FE4C811BEC85A3B3B3B4BD5716177978EAE0ABE8E5CAD0EC90230888517E1F476BB991FC74B356F631C3CD422F0A5E1FA3BFE5B55558555543C17C5A09C98F1B6947B691616164A529EA6D26AC24BC981AF7707E77A7A7ACE9E3DBBB4B404381A1B1BBB74E9527D7DFD4B2FBDD4DEDEDEDEDEFEC61B6F343737C383989A9A7AFBEDB75F7FFDF5AD5BB7363636C26D3979F2E4DF7FFF7DE5CA95B6B6B64C26535D5DDDDEDE9ECD66CF9C3963AD1D1919999999F9F5D75FF7ECD933383878E8D021B8FBA9542A9BCD4E4D4D3DFAE8A30A30641B4B2D2879FCCC9F51CF58104ECA944A25F440DFD4562912EA2B547F36ECE7BA3412A2DA9AB0C749F3C8B0171B98D2E934F337C657FAF108A0643279FBEDB7C3FFE44AAE95AA69177684A0A08944626060606969E9B5D75E4B26933FFCF0C3F5EBD75F7EF9E5C1C1C1B6B6361C9259F0BD01F0B4D5D5D5EAEA6AD2E5B7DF7EBBEFBEFBB0233B97CB0D0E0EFEF1C71FE9747AEFDEBD7D7D7DDF7DF7DDFAFA7A5353D39D77DE595F5F7FFCF8F1C6C6C6679E79666969A9BFBFBFA5A5E5F0E1C35CDB8B24F515C4945B269C00D24096028DA525CD219073D4B3F2D8299034E1ADE421A1531313FA44659B9116075BB66CB1D6729319901AA62EEE1B8842ED88E3F86F22914085137E4C092DF93662636363ADADAD555555D0B3B5B5B5E9E969560668350B89A884E0732AA40928A493363BF075B190A7959595D1D1D1BD7BF7D21E07414020DD002509FF699B358140890C7CF5BC91349B09E773790BCD981507C288FFB23180887531D2E142132A4A08BA06C618A0169668116D8016F0EE50CFCBE9596BD7D6D6D0AE02628BB3C7E0F2C25D54E1423DA4F125C0A8A7D308866EA76E9E087CF726A20D25924C457E07432D85FB07C4E3F16C365B595989CA11D2349FCFE3FC0D4A36D148094A652248C624951C310A8A315426537685CC6484614E6226CD74A820A8B5A4FB549E71616286CA515F5F0F5404770B8542329984C941831644170058A40AB96616F32D5523F61F6FC9E572D65A243E349768BCC35D595989DD44DAED000D35D015C6788B00EB608CA1A8E1BF88D0ADF477531E44704869AD5CC4C5D3190359A58C85D37828AFB37E018175F6151416555582A1962E5B9F605491C44939F0EC5D996FA3F88910CD089A2B3E80557C087FA37602114C103E5C0F92819681A48EF5BEB5F5052990657EC0F8D1708621A0F1190A8AA311688D85334F41D9E280E218AE405682AC6CC341D8A0A375BEFA98FF8DCB6E07EBBB2C393A1D8A18FC000B190441329954B52DFA3E28CE39601A230C13AE9850E6519438085796B1E51F097A563C252819118F2FD5DA15C2201DDDC5C5459E74A84042FC80C2D18EC2F3A44871248AC3E5A01793E21C1233E6B3F59CBBB2C1784854B2938CF4EC9CECB24D241215F47C54A0A8A170F159524FFD8BF98208F6A22193583913999E0963B7117B6BC2ED948ABE930C549F1F8C5FF78A083202615A6C467E7817ACA92E091188A8A34E8A8E54CCF94BAA325F4A3DE38B945B147A028CC679AA6DCA36A592E2A495A06863270C0510EF28C9BE152BA933F289E3E3D0ADF73E29982AD44A02EA8D3EA4DCF6AA434CB5431A8C72E3A4778DF1CD952AFCA10E983F8377EB3D2985AFC0374E220B35D2A05699B035B2B29E1E0BC7CB9C23353E168B2141AAC2CA85BD720BC7E151AD156342F13CA7C41D6A46161EB193B0E44F01E4418005DFB9B3E4376C073E01810E1AEC25E0C415C61BB16FDCF8652A157FED8160AD9D9D9D455DA93186873D457454E945598EFB63DFC036345104574ABEF33FBEC5298984200C06B353B29276B485A49ED29A0C585D5D9D999989981EE2399F597EA911C1658CA9403A9CDB3714C162B118363B63C2D6A72F8D37D15417238DA0611E89425CCED6D95264B4FC3B226B5C9EC08879E87531DC7530C233DD2F6BC541301E75917C696E6E264DC9699CAFE724AB697DE0CCDB151B8CB720FCBDF3CB8A487CA3CE3E9FCFD7D5D5E9CAB0460B6AB069E055179998DDC02DDEA0AC72625463520AC03CAFCA66515A1A935810CC78781794CA9D0D3B1DFCAFF5DBCB235E1FB60560BD03DD754BD22D81A4844ED4D4D468E1ADF56E98730E1DF1A9C77C05170A481ADCC8BD0BA4A90D5751F215FC4B497603216C60EC1C044122914027579C6243D5D1CF117A2A012BB8524099554CC79A13985C2A3B64C3F96517EB4D08D30AF1787C797919C75044204279C6CF1C68B92B45A56438C1B8984AC0DBF9AD46FDAABBAEECC835D54213AE550192333DAF648DF029E68F46C757F0ABA949046164DDB0E0109455F629656CB8F88033B55C08B7654E81B5767D7D7D6E6EAEAEAECE18B3B6B686DDD058D063590487AED4B7E184483E9F875A4418C668A69C9D9C70E45B156DFDCA864DB4CEC885637F23E041F6D0F2A1C707B7A41A417565AA2D0BC5F4C924424CD6478C8FE2E352A3EF2415C2316BB19315E73308825B45071C0A9D5DFC8BE54A44C7D0A188C658F188F45287D8CA4209A754F2E73D18EFADDD9223FF0A272E80F32D7E54A4140FAD77F388F326ACBB566C9B92951A637C28065748F54647850BD4D0579031A427010378E8FC9E33AD0663E9803E9CC2C147E1E1B7C21A1251C593A477921C622E4067AE8FD6AF70F130AD884EE80A61E4D5FC81CA35B91589C622142FC72B3A69BC8569684E9F88CAF4074334FE1EBC04D493B29C423947490A300CC952E522A7ACAC62EC11934A40B0F67F2E9F755A5137096A0000000049454E44AE426082>|zj_gaokao_5.png>|108pt|145pt||>
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<item>\<#4E3A\>\<#4E86\>\<#5F97\>\<#5230\>\<#51FD\>\<#6570\><math|y=2*sin
|
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3*x>\<#7684\>\<#56FE\>\<#8C61\>\<#FF0C\>\<#53EA\>\<#8981\>\<#628A\>\<#51FD\>\<#6570\><math|y=2*sin<around*|(|3*x+<frac|\<pi\>|5>|)>>\<#56FE\>\<#8C61\>\<#4E0A\>\<#6240\>\<#6709\>\<#7684\>\<#70B9\>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
|
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A. \<#5411\>\<#5DE6\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|5>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
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</cell>|<\cell>
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B. \<#5411\>\<#53F3\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|5>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
|
|
</cell>>|<row|<\cell>
|
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C. \<#5411\>\<#5DE6\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|15>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
|
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</cell>|<\cell>
|
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D. \<#5411\>\<#53F3\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|15>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
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</cell>>>>
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</wide-tabular>
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<item>\<#5DF2\>\<#77E5\><math|2<rsup|a>=5,log<rsub|8>3=b>\<#FF0C\>\<#5219\><math|4<rsup|a-3b>=>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
|
|
A. <math|25>
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|
</cell>|<\cell>
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B. <math|5>
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</cell>>|<row|<\cell>
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C. <math|<frac|25|9>>
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</cell>|<\cell>
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D. <math|<frac|5|3>>
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</cell>>>>
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</wide-tabular>
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<item>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\>\<#6B63\>\<#4E09\>\<#68F1\>\<#67F1\><math|<math-it|ABC>-A<rsub|1>B<rsub|1>C<rsub|1>,<math-it|AC>=<math-it|AA<rsub|1>>>\<#FF0C\><math|E,F>\<#5206\>\<#522B\>\<#662F\>\<#68F1\><math|<math-it|BC>>\<#FF0C\><math|A<rsub|1>C<rsub|1>>\<#4E0A\>\<#7684\>\<#70B9\>.\<#8BB0\><math|<math-it|EF>>\<#4E0E\><math|A<math-it|A<rsub|1>>>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#4E3A\><math|\<alpha\>>\<#FF0C\><math|<math-it|EF>>\<#4E0E\>\<#5E73\>\<#9762\><math|<math-it|ABC>>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#4E3A\><math|\<beta\>>\<#FF0C\>\<#4E8C\>\<#9762\>\<#89D2\><math|F-<math-it|BC>-A>\<#7684\>\<#5E73\>\<#9762\>\<#89D2\>\<#4E3A\><math|\<gamma\>>\<#FF0C\>\<#5219\>
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<\wide-tabular>
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<tformat|<table|<row|<\cell>
|
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A. <math|\<alpha\>\<leqslant\>\<beta\>\<leqslant\>\<gamma\>>
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</cell>|<\cell>
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B. <math|\<beta\>\<leqslant\>\<alpha\>\<leqslant\>\<gamma\>>
|
|
</cell>>|<row|<\cell>
|
|
C. <math|\<beta\>\<leqslant\>\<gamma\>\<less\>\<alpha\>>
|
|
</cell>|<\cell>
|
|
D. <math|\<alpha\>\<leqslant\>\<gamma\>\<less\>\<beta\>>
|
|
</cell>>>>
|
|
</wide-tabular>
|
|
|
|
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|zj_gaokao_8.png>||120pt||>
|
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|
<item>\<#5DF2\>\<#77E5\><math|a,b\<in\>\<bbb-R\>>\<#FF0C\>\<#82E5\>\<#5BF9\>\<#4EFB\>\<#610F\><math|x\<in\>\<bbb-R\>>\<#FF0C\><math|a*<around*|\||x-b|\|>+<around*|\||x-4|\|>-<around*|\||2*x-5|\|>\<geqslant\>0>\<#FF0C\>\<#5219\>
|
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|
<\wide-tabular>
|
|
<tformat|<table|<row|<\cell>
|
|
A. <math|a\<leqslant\>1,b\<geqslant\>3>
|
|
</cell>|<\cell>
|
|
B. <math|a\<leqslant\>1,b\<leqslant\>3>
|
|
</cell>>|<row|<\cell>
|
|
C. <math|a\<geqslant\>1,b\<geqslant\>3>
|
|
</cell>|<\cell>
|
|
D. <math|a\<geqslant\>1,b\<leqslant\>3>
|
|
</cell>>>>
|
|
</wide-tabular>
|
|
|
|
<item>\<#5DF2\>\<#77E5\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#6EE1\>\<#8DB3\><with|math-display|true|<math|a<rsub|1>=1,a<rsub|n+1>=a<rsub|n>-<frac|1|3>a<rsub|n><rsup|2><around*|(|n\<in\>\<bbb-N\><rsup|\<ast\>>|)>>>\<#FF0C\>\<#5219\>
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|
<\wide-tabular>
|
|
<tformat|<table|<row|<\cell>
|
|
A. <math|<with|math-display|true|2\<less\>100*a<rsub|100>\<less\><frac|5|2>>>
|
|
</cell>|<\cell>
|
|
B. <with|math-display|true|<math|<frac|5|2>\<less\>100*a<rsub|100>\<less\>3>>
|
|
</cell>>|<row|<\cell>
|
|
C. <with|math-display|true|<math|3\<less\>100*a<rsub|100>\<less\><frac|7|2>>>
|
|
</cell>|<\cell>
|
|
D. <math|<with|math-display|true|<frac|7|2>\<less\>100*a<rsub|100>\<less\>4>>
|
|
</cell>>>>
|
|
</wide-tabular>
|
|
</enumerate>
|
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|
|
\;
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|
\;
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|
\;
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|
|
<\with|par-mode|center>
|
|
<strong|<\with|font|AR PL UMing CN|font-base-size|14>
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|
\<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>110\<#5206\>\<#FF09\>
|
|
</with>>
|
|
</with>
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|
\;
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|
<strong|\<#4E8C\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>\<#FF1A\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>7\<#5C0F\>\<#9898\>\<#FF0C\>\<#5355\>\<#7A7A\>\<#9898\>\<#6BCF\>\<#9898\>4\<#5206\>\<#FF0C\>\<#591A\>\<#7A7A\>\<#9898\>\<#6BCF\>\<#7A7A\>3\<#5206\>\<#FF0C\>\<#5171\>36\<#5206\>\<#3002\>>
|
|
|
|
<\enumerate>
|
|
<assign|item-nr|10><item>\<#6211\>\<#56FD\>\<#5357\>\<#5B8B\>\<#8457\>\<#540D\>\<#6570\>\<#5B66\>\<#53EB\>\<#79E6\>\<#4E5D\>\<#97F6\>\<#FF0C\>\<#53D1\>\<#73B0\>\<#4E86\>\<#4ECE\>\<#4E09\>\<#89D2\>\<#5F62\>\<#4E09\>\<#8FB9\>\<#6C42\>\<#9762\>\<#79EF\>\<#7684\>\<#516C\>\<#5F0F\>\<#FF0C\>\<#4ED6\>\<#628A\>\<#8FD9\>\<#79CD\>\<#65B9\>\<#6CD5\>\<#79F0\>\<#4E3A\>\<#201C\>\<#4E09\>\<#659C\>\<#6C42\>\<#79EF\>\<#201D\>\<#FF0C\>\<#5B83\>\<#586B\>\<#8865\>\<#4E86\>\<#6211\>\<#56FD\>\<#4F20\>\<#7EDF\>\<#6570\>\<#5B66\>\<#7684\>\<#4E00\>\<#4E2A\>\<#7A7A\>\<#767D\>.
|
|
\<#5982\>\<#679C\>\<#628A\>\<#8FD9\>\<#4E2A\>\<#65B9\>\<#6CD5\>\<#5199\>\<#6210\>\<#516C\>\<#5F0F\>\<#FF0C\>\<#5C31\>\<#662F\><math|<with|math-display|true|S=<sqrt|<frac|1|4><around*|[|c<rsup|2>a<rsup|2>-<around*|(|<frac|c<rsup|2>+a<rsup|2>-b<rsup|2>|2>|)><rsup|2>|]>>>>\<#FF0C\>\<#5176\>\<#4E2D\><math|a,b,c>\<#662F\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#4E09\>\<#8FB9\>\<#FF0C\><math|S>\<#662F\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\>.
|
|
\<#8BBE\>\<#67D0\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#4E09\>\<#8FB9\><math|a=<sqrt|2>,b=<sqrt|3>,c=2>\<#FF0C\>\<#5219\>\<#8BE5\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\><math|S=><underline|<space|3em>>.
|
|
|
|
<item>\<#5DF2\>\<#77E5\>\<#591A\>\<#9879\>\<#5F0F\><math|<with|math-display|true|<around*|(|x+2|)><around*|(|x-1|)><rsup|4>=a<rsub|0>+a<rsub|1>*x+a<rsub|2>*x<rsup|2>+a<rsub|3>*x<rsup|3>+a<rsub|4>*x<rsup|4>+a<rsub|5>*x<rsup|5>>>\<#FF0C\>\<#5219\><math|a<rsub|2>=><underline|<space|3em>>,<math|a<rsub|1>+a<rsub|2>+a<rsub|3>+a<rsub|4>+a<rsub|5>=><underline|<space|3em>>.
|
|
|
|
<item>\<#82E5\><math|<with|math-display|true|3*sin \<alpha\>-sin
|
|
\<beta\>=<sqrt|10>,\<alpha\>+\<beta\>=<frac|\<pi\>|2>>>\<#FF0C\>\<#5219\><math|sin
|
|
\<alpha\>=><underline|<space|3em>>\<#FF0C\><math|cos
|
|
2*\<beta\>=><underline|<space|3em>>.
|
|
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<item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|<with|math-display|true|f<around*|(|x|)>=<choice|<tformat|<table|<row|<cell|-x<rsup|2>+2,>|<cell|x\<leqslant\>1,>>|<row|<cell|x+<frac|1|x>-1,>|<cell|x\<gtr\>1,>>>>>>>\<#5219\><math|f<around*|(|f<around*|(|<frac|1|2>|)>|)>=><underline|<space|3em>>\<#FF1B\>\<#82E5\>\<#5F53\><math|x\<in\><around*|[|a,b|]>>\<#65F6\>\<#FF0C\><math|1\<leqslant\>f<around*|(|x|)>\<leqslant\>3>\<#FF0C\>\<#5219\><math|b-a>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#662F\><underline|<space|3em>>.
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<item>\<#73B0\>\<#6709\> 7 \<#5F20\>\<#5361\>\<#7247\>\<#FF0C\>\<#5206\>\<#522B\>\<#5199\>\<#4E0A\>\<#6570\>\<#5B57\>1,2,3,4,5,6.
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\<#4ECE\>\<#8FD9\>7\<#5F20\>\<#5361\>\<#7247\>\<#4E2D\>\<#968F\>\<#673A\>\<#62BD\>\<#53D6\>3\<#5F20\>\<#FF0C\>\<#8BB0\>\<#6240\>\<#62BD\>\<#53D6\>\<#5361\>\<#7247\>\<#4E0A\>\<#6570\>\<#5B57\>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\><math|\<xi\>>\<#FF0C\>\<#5219\><math|P<around*|(|\<xi\>=2|)>=><underline|<space|3em>>\<#FF0C\><math|E<around*|(|\<xi\>|)>=><underline|<space|3em>>.
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<item>\<#5DF2\>\<#77E5\>\<#53CC\>\<#66F2\>\<#7EBF\><math|<with|math-display|true|<frac|x<rsup|2>|a<rsup|2>>-<frac|y<rsup|2>|b<rsup|2>>=1<around*|(|a\<gtr\>0,b\<gtr\>0|)>>>\<#7684\>\<#5DE6\>\<#7126\>\<#70B9\>\<#4E3A\><math|F>\<#FF0C\>\<#8FC7\><math|F>\<#4E14\>\<#659C\>\<#7387\>\<#4E3A\><math|<with|math-display|true|<frac|b|4a>>>\<#7684\>\<#76F4\>\<#7EBF\>\<#4EA4\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#4E8E\>\<#70B9\><math|A<around*|(|x<rsub|1>,y<rsub|1>|)>>\<#FF0C\>\<#4EA4\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#6E10\>\<#8FD1\>\<#7EBF\>\<#4E8E\>\<#70B9\><math|B<around*|(|x<rsub|2>,y<rsub|2>|)>>\<#4E14\><math|x<rsub|1>\<less\>0\<less\>x<rsub|2>>.
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\<#82E5\><math|<around*|\||FB|\|>=3*<around*|\||FA|\|>>\<#FF0C\>\<#5219\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#662F\><underline|<space|3em>>.
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<item>\<#8BBE\>\<#70B9\><math|P>\<#5728\>\<#5355\>\<#4F4D\>\<#5706\>\<#7684\>\<#5185\>\<#63A5\>\<#6B63\>\<#516B\>\<#8FB9\>\<#5F62\><math|A<rsub|1>A<rsub|2>\<ldots\>A<rsub|8>>\<#7684\>\<#8FB9\><math|A<rsub|1>A<rsub|2>>\<#4E0A\>\<#FF0C\>\<#5219\><math|<wide|PA<rsub|1>|\<vect\>><rsup|2>+<wide|PA<rsub|2>|\<vect\>><rsup|2>+\<cdots\>+<wide|PA<rsub|8>|\<vect\>><rsup|2>>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#662F\><underline|<space|3em>>.
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</enumerate>
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\;
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\;
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\;
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\;
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\;
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<strong|\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>\<#FF1A\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>5\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>74\<#5206\>\<#3002\>\<#89E3\>\<#7B54\>\<#5E94\>\<#5199\>\<#51FA\>\<#6587\>\<#5B57\>\<#8BF4\>\<#660E\>\<#3001\>\<#8BC1\>\<#660E\>\<#8FC7\>\<#7A0B\>\<#6216\>\<#6F14\>\<#7B97\>\<#6B65\>\<#9AA4\>\<#3002\>>
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<\enumerate>
|
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<assign|item-nr|17><item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>14\<#5206\>\<#FF09\>\<#5728\><math|\<triangle\><math-it|ABC>>\<#4E2D\>\<#FF0C\>\<#89D2\><math|A,B,C>\<#6240\>\<#5BF9\>\<#7684\>\<#8FB9\>\<#5206\>\<#522B\>\<#4E3A\><math|a,b,c>.
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\<#5DF2\>\<#77E5\><math|4*a=<sqrt|5>*c,cos C=<frac|3|5>>.
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(I) \<#6C42\><math|sin A>\<#7684\>\<#503C\>\<#FF1B\>
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(II) \<#82E5\><math|b=11>\<#FF0C\>\<#6C42\><math|\<triangle\><math-it|ABC>>\<#7684\>\<#9762\>\<#79EF\>.
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<item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\><math|<math-it|ABCD>>\<#548C\><math|<math-it|CDEF>>\<#90FD\>\<#662F\>\<#76F4\>\<#89D2\>\<#68AF\>\<#5F62\>\<#FF0C\><math|<math-it|AB>//<math-it|DC>,<math-it|DC>//<math-it|EF>,<math-it|AB>=5,<math-it|DC>=3,<math-it|EF>=1,\<angle\><math-it|BAD>=\<angle\><math-it|CDE>=60<rsup|\<circ\>>>\<#FF0C\>\<#4E8C\>\<#9762\>\<#89D2\><math|F-<math-it|DC>-B>\<#7684\>\<#5E73\>\<#9762\>\<#89D2\>\<#4E3A\><math|60<rsup|\<circ\>>>\<#FF0C\>\<#8BBE\><math|M>\<#FF0C\><math|N>\<#5206\>\<#522B\>\<#4E3A\><math|<math-it|AE>>\<#FF0C\><math|<math-it|BC>>\<#7684\>\<#4E2D\>\<#70B9\>.
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<\with|par-columns|2>
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(I) \<#8BC1\>\<#660E\>\<#FF1A\><math|<math-it|FN>\<perp\><math-it|AD>>\<#FF1B\>
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(II) \<#6C42\>\<#76F4\>\<#7EBF\><math|<math-it|BM>>\<#4E0E\>\<#5E73\>\<#9762\><math|<math-it|ADE>>\<#6240\>\<#6210\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>.
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|zj_gaokao_19.png>|109pt|94pt||>
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</with>
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<item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#5DF2\>\<#77E5\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#9996\>\<#9879\><math|a<rsub|1>=-1>\<#FF0C\>\<#516C\>\<#5DEE\><math|d\<gtr\>1>.
|
|
\<#8BB0\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#4E3A\><math|S<rsub|n><around*|(|n\<in\>\<bbb-N\><rsup|\<ast\>>|)>>.
|
|
|
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(I) \<#82E5\><math|S<rsub|4>-2a<rsub|2>a<rsub|3>+6>\<#FF0C\>\<#6C42\><math|S<rsub|n>>\<#FF1B\>
|
|
|
|
(II) \<#82E5\>\<#5BF9\>\<#4E8E\>\<#6BCF\>\<#4E2A\><math|n\<in\>\<bbb-N\><rsup|\<ast\>>>\<#FF0C\>\<#5B58\>\<#5728\>\<#5B9E\>\<#6570\><math|c<rsub|n>>\<#FF0C\>\<#4F7F\><math|a<rsub|n>+c<rsub|n>,a<rsub|n+1>+4*c<rsub|n>,a<rsub|n+2>+15*c<rsub|n>>\<#6210\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>\<#FF0C\>\<#6C42\><math|d>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>.
|
|
|
|
<item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\>\<#692D\>\<#5706\><with|math-display|true|<math|<frac|x<rsup|2>|12>+y<rsup|2>=1>>.
|
|
\<#8BBE\><math|A,B>\<#662F\>\<#692D\>\<#5706\>\<#4E0A\>\<#5F02\>\<#4E0E\><math|P<around*|(|0,1|)>>\<#7684\>\<#4E24\>\<#70B9\>\<#FF0C\>\<#4E14\>\<#70B9\><math|Q<around*|(|0,<frac|1|2>|)>>\<#5728\>\<#7EBF\>\<#6BB5\><math|<math-it|AB>>\<#4E0A\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|<math-it|PA>,<math-it|PB>>\<#5206\>\<#522B\>\<#4EA4\>\<#76F4\>\<#7EBF\><math|<with|math-display|true|y=-<frac|1|2>x+3>>\<#4E8E\><math|C,D>\<#4E24\>\<#70B9\>.
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|
<\with|par-columns|2>
|
|
(I) \<#6C42\>\<#70B9\><math|P>\<#5230\>\<#692D\>\<#5706\>\<#4E0A\>\<#70B9\>\<#7684\>\<#8DDD\>\<#79BB\>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#FF1B\>
|
|
|
|
(II) \<#6C42\><math|<around*|\||<math-it|CD>|\|>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>.
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|
|
</with>
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|
|
|
<item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#8BBE\>\<#51FD\>\<#6570\><math|<with|math-display|true|f<around*|(|x|)>=<frac|\<mathe\>|2*x>+ln
|
|
x<around*|(|x\<gtr\>0|)>>>.
|
|
|
|
<\enumerate-Roman>
|
|
<item>\<#6C42\><math|f<around*|(|x|)>>\<#7684\>\<#5355\>\<#8C03\>\<#533A\>\<#95F4\>\<#FF1B\>
|
|
|
|
<item>\<#5DF2\>\<#77E5\><math|a,b\<in\>\<bbb-R\>>\<#FF0C\>\<#66F2\>\<#7EBF\><math|y=f<around*|(|x|)>>\<#4E0A\>\<#4E0D\>\<#540C\>\<#7684\>\<#4E09\>\<#70B9\><math|<around*|(|x<rsub|1>,f<around*|(|x<rsub|1>|)>|)>,<around*|(|x<rsub|2>,f<around*|(|x<rsub|2>|)>|)>,<around*|(|x<rsub|3>,f<around*|(|x<rsub|3>|)>|)>>\<#5904\>\<#7684\>\<#5207\>\<#7EBF\>\<#90FD\>\<#7ECF\>\<#8FC7\>\<#70B9\><math|<around*|(|a,b|)>>.
|
|
\<#8BC1\>\<#660E\>\<#FF1A\>
|
|
|
|
<\enumerate-roman>
|
|
<item>\<#82E5\><math|a\<gtr\>\<mathe\>>\<#FF0C\>\<#5219\><math|<with|math-display|true|0\<less\>b-f<around*|(|a|)>\<less\><frac|1|2><around*|(|<frac|a|e>-1|)>>>\<#FF1B\>
|
|
|
|
<item>\<#82E5\><math|0\<less\>a\<less\>\<mathe\>,x<rsub|1>\<less\>x<rsub|2>\<less\>x<rsub|3>>\<#FF0C\>\<#5219\><with|math-display|true|<math|<frac|2|\<mathe\>>+<frac|\<mathe\>-a|6*\<mathe\><rsup|2>>\<less\><frac|1|x<rsub|1>>+<frac|1|x<rsub|3>>\<less\><frac|2|a>-<frac|\<mathe\>-a|6e<rsup|2>>>>.
|
|
</enumerate-roman>
|
|
</enumerate-Roman>
|
|
|
|
\<#FF08\>\<#6CE8\>\<#FF1A\><math|e=2.71828\<ldots\>>\<#662F\>\<#81EA\>\<#7136\>\<#5BF9\>\<#6570\>\<#7684\>\<#5E95\>\<#6570\>\<#FF09\>
|
|
</enumerate>
|
|
|
|
\;
|
|
|
|
<\note*>
|
|
\<#672C\>\<#8BD5\>\<#9898\>\<#7531\>B\<#7AD9\>UP\<#4E3B\><hlink|<strong|\<#6C88\>\<#6D6A\>\<#718A\>\<#732B\>\<#513F\>>|https://space.bilibili.com/28058658>\<#4E8E\>2022\<#5E74\>6\<#6708\>10\<#65E5\>\<#82B1\>\<#8D39\>2\<#5C0F\>\<#65F6\>\<#7EAF\>\<#624B\>\<#5DE5\>\<#8F93\>\<#5165\>\<#5236\>\<#4F5C\>\<#3002\>\<#4E0B\>\<#8F7D\>\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>\<#FF0C\>\<#901A\>\<#8FC7\>\<#83DC\>\<#5355\><menu|help|planet>\<#53EF\>\<#4EE5\>\<#5F97\>\<#5230\>\<#672C\>\<#8BD5\>\<#9898\>\<#7684\>\<#53EF\>\<#7F16\>\<#8F91\>\<#6587\>\<#6863\>\<#3002\>
|
|
</note*>
|
|
|
|
\;
|
|
|
|
\;
|
|
</body>
|
|
|
|
<\initial>
|
|
<\collection>
|
|
<associate|page-even-footer|<htab|5mm><strong|Z\<#6570\>\<#5B66\>\<#8BD5\>\<#9898\>\<#7B2C\><page-the-page>\<#9875\>\<#FF08\>\<#5171\>4\<#9875\>\<#FF09\>\<#4F7F\>\<#7528\>\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>\<#5236\>\<#4F5C\>><htab|5mm>>
|
|
<associate|page-even-header|>
|
|
<associate|page-medium|paper>
|
|
<associate|page-odd-footer|<htab|5mm><strong|Z\<#6570\>\<#5B66\>\<#8BD5\>\<#9898\>\<#7B2C\><page-the-page>\<#9875\>\<#FF08\>\<#5171\>4\<#9875\>\<#FF09\>\<#4F7F\>\<#7528\>\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>\<#5236\>\<#4F5C\>><htab|5mm>>
|
|
<associate|page-odd-header|>
|
|
<associate|par-columns|1>
|
|
</collection>
|
|
</initial>
|
|
|
|
<\references>
|
|
<\collection>
|
|
<associate|auto-1|<tuple|ii|4>>
|
|
</collection>
|
|
</references>
|
|
|
|
<\auxiliary>
|
|
<\collection>
|
|
<\associate|idx>
|
|
<tuple|<tuple|<with|font-family|<quote|ss>|\<#5E2E\>\<#52A9\>>|<with|font-family|<quote|ss>|\<#58A8\>\<#5BA2\>\<#661F\>\<#7403\>>>|<pageref|auto-1>>
|
|
</associate>
|
|
</collection>
|
|
</auxiliary> |