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Soril 26 jishig daalgavar

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NARANGERELBAYASGALAN
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MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐｦﾐｭﾐ寅ｦﾐ｢ﾐｭﾐ ﾐ燐ｨﾐ ﾐ｡ﾐｭﾐ｢ﾐ寅ｭﾐ･ ﾐ斷ｬ ﾐ慴籍｢ﾐ片慴籍｢ﾐ侑墟｢ ﾐ｡ﾐ｣ﾐﾐ籍嶢ｦﾐ籍･ﾐ籍籍｡ ﾐｭﾐ･ﾐｭﾐ嶢頒ｭﾐ 1 ﾐ籍ｼﾐｶﾐｸﾐｻﾑ ﾑﾒｯﾑﾑ糊ｵ! ﾐ･ﾑσｳﾐｰﾑﾐｰﾐｰ 100 ﾐｼﾐｸﾐｽﾑτ I ﾑﾑ采ﾑ災ｳ. ﾐ｡ﾐｾﾐｽﾐｳﾐｾﾑ ﾑひｵﾑﾑ 1. ﾐ｢ﾐｾﾐｾﾑﾐｾﾐｾﾐｻ. 2 1 3 2 log sin log 3 3 16 tg ﾏ ﾏ 竏 A. 9 64 B. 9 4 C. 1 4 D.1 E. 1 64 2. ﾐ孟ｸﾑ. 6 5 1 log 15 log 2 3 7 6a = + ﾐｱﾐｰ 5log 7 2 6b = + A. a b< B. a b= C. a b> D. a b竕 E.ﾐｶﾐｸﾑ威ｸﾑ ﾐｱﾐｾﾐｻﾐｾﾐｼﾐｶﾐｳﾒｯﾐｹ 3. ﾐ林τﾐｰﾐｳﾑ [ ]3;6竏 ﾐｼﾑσｶ ﾐｴﾑ采采 ﾑひｾﾐｴﾐｾﾑﾑﾐｾﾐｹﾐｻﾐｾﾐｳﾐｴﾑﾐｾﾐｽ ( )y f x= ﾐｱﾐｰ ( )y g x= ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾐｳﾑﾐｰﾑﾐｸﾐｺ ﾓｩﾐｳﾓｩﾐｳﾐｴﾓｩﾐｲ. ﾐ｢ﾑ災ｳﾐｲﾑ災ｻ ( ) ( )f x g x竕･ ﾐｽﾓｩﾑﾑﾐｻﾐｸﾐｹﾐｳ ﾑﾐｰﾐｽﾐｳﾐｰﾑ ﾐｱﾒｯﾑ ﾑ-ﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｳ ﾐｾﾐｻ. A. [ ]1;1竏 B. [ ] [ ]3; 1 1;6竏 竏 竏ｪ C. [ ] [ ]3; 2 2;6竏 竏 竏ｪ D. [ ]2;2竏 E. [ ]2;6 4. 1 0 4 3 2 4 5sin 3cos 8 x x x x x x ｣ｱ + 竏 竕･｣ｴ ｣ｲ + 站 竏 ｣ｴ + =｣ｳ ﾑﾐｸﾑﾑひｵﾐｼﾐｸﾐｹﾐｽ ﾑ威ｸﾐｹﾐｴ ﾐｰﾐｻﾑ ﾐｽﾑ ﾐｲﾑ? A. 竏 B. 2 4 k k Z ﾏ ﾏ+ 竏 C. 2 k k Z ﾏ ﾏ+ 竏 D. 3 2 k k Z ﾏ 竏 E. 2 k k Z ﾏ 竏 5. 2; 5; 7 -ﾐｴ ﾑﾑσｲﾐｰﾐｰﾐｳﾐｴﾐｴﾐｰﾐｳ ﾐｱﾐｾﾐｻﾐｾﾐｲﾑ 3-ﾐｴ ﾑﾑσｲﾐｰﾐｰﾑﾐｰﾐｴ 1 ﾒｯﾐｻﾐｴﾑ災ｳﾐｴﾑ災ｻ ﾓｩﾐｳﾐｴﾓｩﾐｳ ﾑﾐｰﾐｼﾐｳﾐｸﾐｹﾐｽ ﾐｱﾐｰﾐｳﾐｰ ﾐｽﾐｰﾑびτﾐｰﾐｻ ﾑひｾﾐｾﾐｳ ﾐｾﾐｻ. A.210 B.140 C.70 D.280 E.350 6. ( ) ( )( ) ( )( ) 3 4 3 1 2 3 0 4 5 x x x x x 竏 竏 竏 竕､ 竏 竏 ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ威ｸﾐｹﾐｽ ﾑ威ｸﾐｹﾐｴﾐｸﾐｹﾐｽ ﾐｾﾐｻﾐｾﾐｽﾐｻﾐｾﾐｳ ﾐｰﾐｻﾑ ﾐｽﾑ ﾐｲﾑ? A.] ] [ ] [ ];1 2;3 4;5竏停 竏ｪ 竏ｪ B.[ ] { } ] [1;2 3 4;5竏ｪ 竏ｪ C. [ ] [ ] [ [1;2 3;4 5;竏ｪ 竏ｪ 竏 D.[ ] [ ]1;2 4;5竏ｪ E.] ] [ ] [ [;1 2;4 5;竏停 竏ｪ 竏ｪ 竏 7. ( )1 F x ﾐｱﾐｰ ( )2 F x ﾐｽﾑ ( )f x 竏 ﾐｸﾐｹﾐｽ ﾑ紹ｻﾐｳﾐｰﾐｰﾑひｰﾐｹ ﾑ采 ﾑﾑσｽﾐｺﾑﾒｯﾒｯﾐｴ. ( ) ( ) ( )1 2 1 4 10; 6 8; 6 10F F F= = = ﾐｱﾐｾﾐｻ ( )2 4F 竏 ﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A.7 B.10 C.9 D.8 E.ﾑひｾﾐｴﾐｾﾑﾑﾐｾﾐｹﾐｻﾐｾﾑ ﾐｱﾐｾﾐｻﾐｾﾐｼﾐｶﾐｳﾒｯﾐｹ
MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐ･ﾐｭﾐ ﾐ｡ﾐ籍厰 ﾐ･ﾓｨﾐ晩ｨﾐ嶢慱ｨﾐﾐ嶮ｨﾐ ﾐ岱籍厰斷 ﾐ｢ﾐｭﾐ ﾐ籍慴孟侑嶢｢ﾐ籍斷 ﾐ･ﾒｮﾐﾐ頒ｭﾐ 2 8. 25; 1x a= = ﾐｱﾐｾﾐｻ 1 1 1 1 1 1 2 2 4 4 4 4 ( 8 16 )( 2 )( 2 )x a x a x a x a竏 + 竏 + ﾐｸﾐｻﾑ采ﾑﾐｸﾐｹﾐｻﾐｻﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｳ ﾐｾﾐｻ. A.1 B.117 C.61 D.121 E.0 9. 6 ﾐｽﾐｾﾐｼﾑ巾ｳ 2 ﾑﾒｯﾒｯﾑﾐｴﾑ災ｴ ﾑﾑσｲﾐｰﾐｰﾐｶ ﾓｩﾐｳﾓｩﾐｲ. ﾐ･ﾐｸﾑﾐｽﾑ采災ｽ ﾑ紹ｽﾐｷﾐｰﾐｰﾑ ﾓｩﾐｳﾑ ﾐｱﾐｾﾐｻﾐｾﾑ ﾐｲﾑ? A .31 B.32 C.62 D.64 E.63 10. ( )2 2 1 0x x x+ + = ﾑび災ｳﾑ威ｸﾑひｳﾑ災ｻﾐｸﾐｹﾐｽ ﾑﾐｰﾐｼﾐｳﾐｸﾐｹﾐｽ ﾐｱﾐｰﾐｳﾐｰ ﾑ威ｸﾐｹﾐｴ ﾐｰﾐｻﾑ ﾐｽﾑ ﾐｲﾑ? A. 2竏 B. 1竏 C.0 D.1 E. 2 11. ( )4 4 4 log , log , log 1a b cx x x xﾎｱ ﾎｲ ﾎｳ= = = 竕 ﾐｱﾐｾﾐｻ logabc x 竏 ﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A. 1 4 4 4 ﾎｱ ﾎｲ ﾎｳ + + B. 4 ﾎｱﾎｲﾎｳ C.ﾎｱﾎｲﾎｳ D. 4 4 4 ﾎｱ ﾎｲ ﾎｳ + + E. 4 1 1 1 ﾎｱ ﾎｲ ﾎｳ + + 12. 2 20 1 sin cos lim sin 2x x x x x竊 + 竏 ﾑﾑ紹ｷﾐｳﾐｰﾐｰﾑﾑ巾ｳ ﾐｱﾐｾﾐｴ. A. 0 B. 1 4 C. 1 8 D. 1 2 E.竏 13. 2 y ax bx c= + + ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑﾑσｲﾑ糊ｴ ( ) ( ) ( ) 1 ' 0 1 8, 1 10, 4y y y x dx= = =竏ｫ ﾐｱﾐｾﾐｻ , ,a b c 竏 ﾐｳ ﾐｾﾐｻ. A. 3, 4, 1a b c= = = B. 2, 6, 0a b c= = = C. 3, 3, 2a b c= = = D. 4, 3, 1a b c= = = E. 2, 3, 3a b c= = = 14. ﾐ･ﾑ采ﾐｲﾑ采 cos sin 2 sin 4 tg ctg ﾏ ﾎｱ ﾎｱ ﾎｱ ﾎｱ ﾎｱ ｣ｫ ｣ｶ 站 + 站 = 竏抵｣ｬ ｣ｷ ｣ｭ ｣ｸ ﾐｱﾐｾﾐｻ ﾎｱ ﾐｰﾐｻﾑ ﾐｼﾓｩﾑﾐｸﾐｴ ﾐｾﾑﾑ威ｸﾑ ﾐｲﾑ? A. I B.II C.III D.IV E.I ﾐｱﾐｰ II 15. ( )f x ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑひｾﾐｴﾐｾﾑﾑﾐｾﾐｹﾐｻﾐｾﾐｳﾐｴﾐｾﾑ ﾐｼﾑσｶ ﾐｽﾑ [ ]3; 2竏 竏 , ﾑτひｳﾑ巾ｽ ﾐｼﾑσｶ ﾐｽﾑ [ ]4;5 ﾐｱﾐｾﾐｻ ( )5f x ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｽ ﾐｼﾑσｶﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A.[ ]20;25 B.[ ]5;5竏 C. 4 ;1 5 ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ D.[ ]4;5 E. 3 2 ; 5 5 ｣ｮ ｣ｹ 竏 竏抵｣ｯ ｣ｺ｣ｰ ｣ｻ 16. 1 2 3 ; ; ;... 6 11 16 ﾐｴﾐｰﾑﾐｰﾐｰﾐｻﾐｻﾑ巾ｽ ﾑﾑ紹ｷﾐｳﾐｰﾐｰﾑﾑ巾ｳ ﾐｾﾐｻ. A. 1 4 B. 1 3 C. 1 5 D. 1 2 E.0 17. 2sin 5 3 y arctg x ﾏ｣ｫ ｣ｶ = + +｣ｬ ｣ｷ ｣ｭ ｣ｸ ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｽ ﾐｼﾑσｶﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A. ; 7 3 arctg ﾏ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ B. 3;7｣ｮ ｣ｹ ｣ｰ ｣ｻ C. ; 7 6 arctg ﾏ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ D. ; 6 4 ﾏ ﾏ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ E. ; 6 3 ﾏ ﾏ｣ｮ ｣ｹ 竏抵｣ｯ ｣ｺ｣ｰ ｣ｻ 18. ( )7;2; 3a 竏 ﾐｲﾐｵﾐｺﾑひｾﾑﾑ巾ｳ OXZ ﾑﾐｰﾐｲﾑひｳﾐｰﾐｹﾐｽ ﾑﾑσｲﾑ糊ｴ, ﾐｴﾐｰﾑﾐｰﾐｰ ﾐｽﾑ OZ ﾑび災ｽﾑﾐｻﾑ災ｳﾐｸﾐｹﾐｽ ﾑﾑσｲﾑ糊ｴ ﾑび災ｳﾑ ﾑﾑ災ｼﾑび災ｹ ﾑﾑσｲﾐｸﾑﾐｳﾐｰﾐｲﾐｰﾐｻ 1a ﾐｲﾐｵﾐｺﾑひｾﾑ ﾒｯﾒｯﾑﾐｽﾑ. 1a ﾐｲﾐｵﾐｺﾑひｾﾑﾑ巾ｽ ﾐｺﾐｾﾐｾﾑﾐｴﾐｸﾐｽﾐｰﾑび巾ｳ ﾐｾﾐｻ. A.( )7; 2; 3竏 竏 B.( )7;2; 3竏 竏 C.( )7; 2; 3竏 竏 D.( )7;2; 3 E.( )7;2; 3竏
MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐｦﾐｭﾐ寅ｦﾐ｢ﾐｭﾐ ﾐ燐ｨﾐ ﾐ｡ﾐｭﾐ｢ﾐ寅ｭﾐ･ ﾐ斷ｬ ﾐ慴籍｢ﾐ片慴籍｢ﾐ侑墟｢ ﾐ｡ﾐ｣ﾐﾐ籍嶢ｦﾐ籍･ﾐ籍籍｡ ﾐｭﾐ･ﾐｭﾐ嶢頒ｭﾐ 3 19. ﾐ｢ﾑ災ｳﾑ ﾓｩﾐｽﾑﾓｩﾐｳﾑ ( 0 90C =竏｡ ) ABC ﾐｳﾑτﾐｲﾐｰﾐｻﾐｶﾐｸﾐｽﾐｴ CD ﾓｩﾐｽﾐｴﾓｩﾑ ﾑひｰﾑひｰﾐｲ. ﾐ･ﾑ采ﾑ災ｲ CB=21 ﾐｱﾐｰ ACD ﾐｱﾐｾﾐｻﾐｾﾐｽ BCD ﾐｳﾑτﾐｲﾐｰﾐｻﾐｶﾐｽﾑτσｴﾐｰﾐｴ ﾐｱﾐｰﾐｳﾑびﾐｰﾐｽ ﾑひｾﾐｹﾑﾐｳﾑτσｴﾑ巾ｽ ﾑﾐｰﾐｴﾐｸﾑτﾑτσｴﾑ巾ｽ ﾑﾐｰﾑﾑ袴ﾐｰﾐｰ ﾐｽﾑ 1 2: 7 :3R R = ﾐｱﾐｾﾐｻ AC ﾑひｰﾐｻﾑ巾ｽ ﾑτﾑび巾ｳ ﾐｾﾐｻ. A. 343 3 B. 9 C. 49 D. 27 7 E. ﾑひｾﾐｾﾑﾐｾﾐｾﾐｻﾐｾﾑ ﾐｱﾐｾﾐｻﾐｾﾐｼﾐｶﾐｳﾒｯﾐｹ 20. 3 12x x n竏 = ﾑび災ｳﾑ威ｸﾑひｳﾑ災ｻ n 竏 ﾐｸﾐｹﾐｽ ﾑ紹ｼﾐｰﾑ ﾑτひｳﾐｰﾐｽﾐｴ ﾑﾐｾﾑ ﾐｳﾐｰﾐｽﾑ ﾑ威ｸﾐｹﾐｴﾑび災ｹ ﾐｱﾐｰﾐｹﾑ ﾐｲﾑ? ﾐ. ] [2;2n竏 竏 B. ] [16;16n竏 竏 C. 16n = 竏 ﾐｱﾐｰ 16n = D. 16 16n ﾐｱﾐｰ n< 竏 > E. 2n < 竏 ﾐｱﾐｰ 2n > 21. ﾐ慴ｰﾑﾑひｵﾑ 1 ﾑﾐｰﾐｳﾑ 4-ﾓｩﾓｩﾑ ﾐｸﾑ, ﾑﾐｰﾑﾐｸﾐｽ ﾑﾑτﾐｰﾐｳﾑ ﾑぴｯﾒｯﾐｽﾑ采采 2-ﾐｾﾐｾﾑ ﾐｱﾐｰﾐｳﾐｰ ﾐｴﾐｵﾑひｰﾐｻﾑ ﾒｯﾐｹﾐｻﾐｴﾐｲﾑ采ﾐｻﾑ災ｴﾑ災ｳ. ﾐ厘ｰﾑﾐｸﾐｰﾐｻﾐｳﾑ巾ｳ ﾐｼﾐｰﾑﾑひｵﾑ ﾐｱﾒｯﾑﾑ災ｻ ﾑひｾﾐｾﾐｽﾑ ﾑﾐｰﾐｳﾑ ﾒｯﾐｹﾐｻﾐｴﾐｲﾑ采ﾐｻﾑ災ｴﾑ災ｳ, ﾐｳﾑτﾐｲﾐｰﾐｽ ﾑﾑτﾐｰﾐｳﾑ ﾑﾐｰﾐｼﾑひｴﾐｰﾐｰ ﾐｼﾐｰﾑﾑひｵﾑﾐｰﾐｰﾑ 2 ﾑﾐｰﾐｳﾐｰﾐｰﾑ ﾐｱﾐｰﾐｳﾐｰ ﾑﾑσｳﾐｰﾑﾐｰﾐｰﾐｽﾐｴ ﾐｳﾒｯﾐｹﾑﾑ采ひｳﾑ災ｴﾑ災ｳ. ﾐ･ﾐｸﾑﾐｽﾑ采災ｽ ﾐｷﾐｰﾑﾐｸﾐｰﾐｻﾐｳﾐｰ ﾐｸﾑﾑﾑ災ｽ ﾐｱﾑ? A. 48 B. 24 C.10 D.14 E. 28 22. ﾐ籍ｴﾐｸﾐｻ ﾑﾐｰﾐｶﾑττ ﾑびﾐｰﾐｿﾐｵﾑﾐｸﾐｹﾐｽ ﾐｴﾑσｽﾐｴﾐｰﾐｶ ﾑ尉σｳﾐｰﾐｼ ﾐｽﾑ 4 3 ﾐｱﾐｰ ﾐｴﾐｸﾐｰﾐｳﾐｾﾐｽﾐｰﾐｻﾐｸﾑσｴﾑ巾ｽ ﾐｾﾐｳﾑひｻﾐｾﾐｻﾑﾐｾﾐｻﾑ巾ｽ ﾑﾑ災ｳﾑ采采 ﾑﾐｰﾐｶﾑτ ﾑひｰﾐｻ 0 60 窶酉巾ｽ ﾓｩﾐｽﾑﾐｳﾓｩﾓｩﾑ ﾑﾐｰﾑﾐｰﾐｳﾐｴﾐｴﾐｰﾐｳ ﾐｱﾐｾﾐｻ ﾑびﾐｰﾐｿﾐｵﾑﾐｸﾐｹﾐｽ ﾓｩﾐｽﾐｴﾑﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A. 2 3 B. 4 3 C. 4 D. 2 3 E. 2 23. ﾐ･ﾑ采ﾐｲﾑ采 x ﾐｽﾑ ( )( )2 2 5 6 11 30 0x x x x竏 + 竏 + < ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ威ｸﾐｹﾐｳ ﾑﾐｰﾐｽﾐｳﾐｰﾐｴﾐｰﾐｳ ﾐｱﾐｾﾐｻ ﾐｴﾐｰﾑﾐｰﾐｰﾑ ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ惟ｯﾒｯﾐｴﾑ采采 ﾐｰﾐｻﾑ ﾐｱﾐｸﾐｵﾐｻﾑ采 ﾐｲﾑ? A. sin 2 0x < B.sin 2 0x > C.cos2 0x < D.cos2 0x > E. 2 0tg x > 24. 11-ﾑ ﾐｰﾐｽﾐｳﾐｸ ﾑふｩﾐｳﾑﾓｩﾐｳﾑﾐｴﾐｸﾐｹﾐｽ 4 ﾑﾒｯﾒｯﾑﾑ災ｴ ﾑびτひｼﾑ巾ｽ 1 ﾐｽﾑ ﾐ慴ｰﾑひｵﾐｼﾐｰﾑひｸﾐｺﾐｸﾐｹﾐｽ ﾑﾐｸﾑﾑ采災ｻﾑ采采 ﾐｵﾑﾓｩﾐｽﾑﾐｸﾐｹ ﾑ威ｰﾐｻﾐｳﾐｰﾐｻﾑ ﾓｩﾐｳﾐｴﾓｩﾐｳ. ﾐ｢ﾑ災ｳﾐｲﾑ災ｻ ﾑﾐｰﾐｽﾐｰﾐｼﾑﾐｰﾑﾐｳﾒｯﾐｹ ﾑﾐｾﾐｽﾐｳﾐｾﾑﾐｾﾐｽ 4 ﾑふｩﾐｳﾑﾓｩﾐｳﾑﾐｸﾐｹﾐｽ ﾑ紹ｴﾐｰﾐｶ ﾐｽﾑ災ｳ ﾐｽﾑ ﾐ慴ｰﾑひｵﾐｼﾐｰﾑひｸﾐｺﾐｸﾐｹﾐｽ ﾑﾐｸﾑﾑ采災ｻﾑ采采 ﾐｵﾑﾓｩﾐｽﾑﾐｸﾐｹ ﾑ威ｰﾐｻﾐｳﾐｰﾐｻﾑ ﾓｩﾐｳﾓｩﾑ ﾐｼﾐｰﾐｳﾐｰﾐｴﾐｻﾐｰﾐｻﾑ巾ｳ ﾐｾﾐｻ. A. 1 4 B. 81 256 C. 37 64 D. 175 256 E. 27 64 25. ABCD ﾑﾐｾﾐｼﾐｱﾐｾ ﾐｱﾐｾﾐｻﾐｾﾐｽ ﾑぴｯﾒｯﾐｽﾐｸﾐｹ ﾐｸﾑ ﾐｴﾐｸﾐｰﾐｳﾐｾﾐｽﾐｰﾐｻﾐｸﾐｰﾑ ﾑひｰﾐｻﾐｰﾐｰ ﾑﾐｸﾐｹﾑﾑ災ｽ ABC ﾐｳﾑτﾐｲﾐｰﾐｻﾐｶﾐｸﾐｽﾐｴ ﾑびτ ﾑびτ ﾑひｾﾐｹﾑﾐｾﾐｳ ﾐｱﾐｰﾐｳﾑひｶﾑ采. ﾐ･ﾑ采ﾑ災ｲ ﾑﾐｾﾐｼﾐｱﾑ巾ｽ ﾑﾑτﾑ ﾓｩﾐｽﾑﾓｩﾐｳ ﾐｽﾑ 0 60 ﾐｱﾐｾﾐｻ ﾐｴﾑ采采ﾑ ﾑひｾﾐｹﾑﾐｳﾑτσｴﾑ巾ｽ ﾑﾐｰﾐｴﾐｸﾑτﾑτσｴﾑ巾ｽ ﾑﾐｰﾑﾑ袴ﾐｰﾐｰﾐｳ ﾐｾﾐｻ. A. 3 2 B. 2 0 2cos 15 C. 2 0 cos 15 D. 3 4 E. 1 2 26. 0 144 -ﾑ巾ｽ ﾐｴﾑσｳﾑσｹﾐｽ ﾑﾐｵﾐｺﾑひｾﾑﾐｾﾐｾﾑ ﾒｯﾒｯﾑﾐｳﾑ災ｳﾐｴﾑ采 ﾐｺﾐｾﾐｽﾑτﾑ巾ｽ ﾑﾐｰﾐｶﾑτ ﾐｳﾐｰﾐｴﾐｰﾑﾐｳﾑ巾ｽ ﾑひｰﾐｻﾐｱﾐｰﾐｹﾐｳ ﾑﾑττﾐｸﾐｹﾐｽ ﾑひｰﾐｻﾐｱﾐｰﾐｹﾐｴ ﾑﾐｰﾑﾑ袴ﾑτσｻﾑﾐｰﾐｽ ﾑﾐｰﾑﾑ袴ﾐｰﾐｰ ﾑﾑ災ｴ ﾐｲﾑ? A. 8 3 B. 10 3 C. 2,5 D.3 E. 2
MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐ･ﾐｭﾐ ﾐ｡ﾐ籍厰 ﾐ･ﾓｨﾐ晩ｨﾐ嶢慱ｨﾐﾐ嶮ｨﾐ ﾐ岱籍厰斷 ﾐ｢ﾐｭﾐ ﾐ籍慴孟侑嶢｢ﾐ籍斷 ﾐ･ﾒｮﾐﾐ頒ｭﾐ 4 II ﾑﾑ采ﾑ災ｳ. ﾐ旁ｩﾑﾓｩﾑ ﾑひｵﾑﾑ 2.1 ( ) ( ) ( ) ( )0;0 , 1;0 , 1;1 , 0;1O A B C ﾑﾑ災ｳﾒｯﾒｯﾐｴ ﾐｴﾑ采采 ﾐｾﾑﾐｾﾐｹﾑひｾﾐｹ ﾐｺﾐｲﾐｰﾐｴﾑﾐｰﾑひｰﾐｰﾑ ( );M x y ﾑﾑ災ｳﾐｸﾐｹﾐｳ ﾑﾐｾﾐｽﾐｳﾐｾﾐｽ ﾐｰﾐｲﾐｰﾑﾐｰﾐｴ ﾑぴｯﾒｯﾐｽﾐｸﾐｹ ﾐｺﾐｾﾐｾﾑﾐｴﾐｸﾐｽﾐｰﾑびτσｴﾑ巾ｽ ﾑﾑσｲﾑ糊ｴ a) y x< ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾐｵﾐｻﾑ采 ﾐｼﾐｰﾐｳﾐｰﾐｴﾐｻﾐｰﾐｻ ﾐｽﾑ 1 . a P b = ﾐｱ) 2 3 x y x> > ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ ﾐｱﾐｸﾐｵﾐｻﾑ采 ﾐｼﾐｰﾐｳﾐｰﾐｴﾐｻﾐｰﾐｻ ﾐｽﾑ 2 . c P de = 2.2 ABCD ﾐｺﾐｲﾐｰﾐｴﾑﾐｰﾑ ﾑﾑττﾑ袴ひｰﾐｹ S ﾐｾﾑﾐｾﾐｹ ﾐｱﾒｯﾑﾐｸﾐｹ ﾐｷﾓｩﾐｲ ﾐｿﾐｸﾑﾐｰﾐｼﾐｸﾐｴﾐｸﾐｹﾐｽ ﾑﾑττﾐｸﾐｹﾐｽ ﾐｱﾐｾﾐｻﾐｾﾐｽ ﾑﾐｰﾐｶﾑτ ﾐｸﾑﾐｼﾑ災ｳ ﾑﾐｰﾑﾐｳﾐｰﾐｻﾐｷﾐｰﾐｽ 2 5; 5. ﾐ ﾐｾﾑﾐｾﾐｹﾐｳﾐｾﾐｾﾑ SDC ﾑひｰﾐｻﾑ ﾑﾑτ ﾐｱﾑτσｻﾐｳﾐｰﾑﾐｰﾐｽ ﾐｿﾐｵﾑﾐｿﾐｵﾐｽﾐｴﾐｸﾐｺﾑσｻﾑ肖ﾑ巾ｽ ﾑﾑττﾐｸﾐｹﾐｳ H ﾐｳﾑ災ｲﾑ災ｻ AH 窶酉巾ｽ ﾑﾑττﾐｸﾐｹﾐｽ ﾑﾐｰﾐｲﾑひｳﾐｰﾐｹﾑひｰﾐｹ ﾒｯﾒｯﾑﾐｳﾑ采 ﾓｩﾐｽﾑﾓｩﾐｳ ab ﾐｱﾐｰ AH cd= ﾐｱﾐｰﾐｹﾐｽﾐｰ. 2.3. O ﾑﾑ災ｳﾑ ﾑふｩﾐｲﾑび災ｹ 3ﾑﾐｼ ﾑﾐｰﾐｴﾐｸﾑτﾑひｰﾐｹ ﾑひｾﾐｹﾑﾐｳﾐｸﾐｹﾐｽ EF ﾐｴﾐｸﾐｰﾐｼﾐｵﾑび ﾐｴﾑ采采 ﾐｾﾑﾑ威ｸﾑ ﾐ ﾑﾑ災ｳﾐｸﾐｹﾐｳ ﾐｴﾐｰﾐｹﾑﾑτσｻﾐｰﾐｽ ﾑぴｯﾒｯﾐｽﾑび災ｹ 300 ﾓｩﾐｽﾑﾓｩﾐｳ ﾒｯﾒｯﾑﾐｳﾑ采 AB ﾑﾓｩﾐｲﾑﾐｸﾐｹﾐｳ : 3:7AM MB = ﾐｱﾐｰﾐｹﾑﾐｰﾐｰﾑ ﾑひｰﾑひｰﾐｲ. AB ﾑﾓｩﾐｲﾑﾐｸﾐｹﾐｽ ﾐｴﾑσｽﾐｴﾐｰﾐｶﾐｸﾐｹﾐｳ K ﾐｳﾑ災ｲﾑ災ｻ 1 5 OK AB a = ﾑびσｻ ﾐ渙ｸﾑﾐｰﾐｳﾐｾﾑﾑ巾ｽ ﾑひｵﾐｾﾑﾐｵﾐｼﾑ采采 2 00 79 bc AB = ﾐｱﾐｰﾐｹﾐｽﾐｰ. A ﾑﾑ災ｳﾑ采采 2 d AB站 ﾐｷﾐｰﾐｹﾐｴ ﾐｾﾑﾑ威ｸﾑ, EF ﾐｴﾐｸﾐｰﾐｼﾐｵﾑびﾑ ﾐｿﾐｵﾑﾐｿﾐｵﾐｽﾐｴﾐｸﾐｺﾑσｻﾑ肖 BC ﾑﾓｩﾐｲﾑﾐｸﾐｹﾐｽ ﾑτﾑ ﾐｽﾑ 0 e AB f 站 ﾑびσｻ 1 90 316 ABC g S h= 站 ﾐｱﾐｾﾐｻﾐｽﾐｾ. 2.4 A ﾑﾑ災ｳﾑ采采 ﾐｳﾐｰﾑﾑﾐｰﾐｽ ﾑ紹ｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽ 4 ﾐｺﾐｼ ﾑ紹ｲﾑﾐｽﾑ ﾐｴﾐｰﾑﾐｰﾐｰ ﾑぴｯﾒｯﾐｽﾑ采采 6ﾐｺﾐｼ/ﾑﾐｰﾐｳ-ﾐｰﾐｰﾑ ﾐｸﾐｻﾒｯﾒｯ ﾑﾑτﾐｴﾑひｰﾐｹ ﾐｴﾑσｳﾑσｹﾑひｰﾐｹ ﾑﾒｯﾐｽ ﾐｰﾑﾐｰﾐｰﾑ ﾐｽﾑ ﾐｳﾐｰﾑﾑﾑ采. ﾐ飯σｳﾑσｹﾑひｰﾐｹ ﾑﾒｯﾐｽ ﾐｳﾐｰﾑﾑﾐｽﾐｰﾐｰﾑﾐｰﾐｰ a b ﾑﾐｰﾐｳﾐｸﾐｹﾐｽ ﾐｴﾐｰﾑﾐｰﾐｰ ﾑ紹ｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽﾐｸﾐｹﾐｳ ﾐｳﾒｯﾐｹﾑﾑ采災ｴ ﾑﾐｾﾑ帯σｻ ﾐｱﾑτﾐｰﾐｶ 6ﾐｺﾐｼ/ﾑﾐｰﾐｳ ﾑﾑτﾐｴﾑひｰﾐｹ ﾑ紹ｲﾑﾐｰﾐｰﾑ A-ﾐｴ ﾐｸﾑﾐｶﾑ采. ﾐｯﾐｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽﾐｸﾐｹ ﾑﾑτﾐｴﾑ巾ｳ ﾎｽ ﾐｳﾑ災ｲﾑ災ｻ ﾑぴｯﾒｯﾐｽﾐｸﾐｹ ﾑ紹ｲﾑﾐｰﾐｽ ﾐｽﾐｸﾐｹﾑ ﾑﾑσｳﾐｰﾑﾐｰﾐｰ ﾐｽﾑ c e v t vd f = + + ﾐｱﾐｾﾐｻﾐｾﾑ ﾐｱﾐｰv g= ﾒｯﾐｵﾐｴ ﾑ紹ｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽﾐｸﾐｹ ﾐｷﾑσｳﾐｰﾐｰﾐｻﾑﾐｰﾐｽ ﾑﾑσｳﾐｰﾑﾐｰﾐｰ ﾑﾐｰﾐｼﾐｳﾐｸﾐｹﾐｽ ﾐｱﾐｰﾐｳﾐｰ ﾐｱﾐｰﾐｹﾐｽﾐｰ.

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  • 1. MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐｦﾐｭﾐ寅ｦﾐ｢ﾐｭﾐ ﾐ燐ｨﾐ ﾐ｡ﾐｭﾐ｢ﾐ寅ｭﾐ･ ﾐ斷ｬ ﾐ慴籍｢ﾐ片慴籍｢ﾐ侑墟｢ ﾐ｡ﾐ｣ﾐﾐ籍嶢ｦﾐ籍･ﾐ籍籍｡ ﾐｭﾐ･ﾐｭﾐ嶢頒ｭﾐ 1 ﾐ籍ｼﾐｶﾐｸﾐｻﾑ ﾑﾒｯﾑﾑ糊ｵ! ﾐ･ﾑσｳﾐｰﾑﾐｰﾐｰ 100 ﾐｼﾐｸﾐｽﾑτ I ﾑﾑ采ﾑ災ｳ. ﾐ｡ﾐｾﾐｽﾐｳﾐｾﾑ ﾑひｵﾑﾑ 1. ﾐ｢ﾐｾﾐｾﾑﾐｾﾐｾﾐｻ. 2 1 3 2 log sin log 3 3 16 tg ﾏ ﾏ 竏 A. 9 64 B. 9 4 C. 1 4 D.1 E. 1 64 2. ﾐ孟ｸﾑ. 6 5 1 log 15 log 2 3 7 6a = + ﾐｱﾐｰ 5log 7 2 6b = + A. a b< B. a b= C. a b> D. a b竕 E.ﾐｶﾐｸﾑ威ｸﾑ ﾐｱﾐｾﾐｻﾐｾﾐｼﾐｶﾐｳﾒｯﾐｹ 3. ﾐ林τﾐｰﾐｳﾑ [ ]3;6竏 ﾐｼﾑσｶ ﾐｴﾑ采采 ﾑひｾﾐｴﾐｾﾑﾑﾐｾﾐｹﾐｻﾐｾﾐｳﾐｴﾑﾐｾﾐｽ ( )y f x= ﾐｱﾐｰ ( )y g x= ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾐｳﾑﾐｰﾑﾐｸﾐｺ ﾓｩﾐｳﾓｩﾐｳﾐｴﾓｩﾐｲ. ﾐ｢ﾑ災ｳﾐｲﾑ災ｻ ( ) ( )f x g x竕･ ﾐｽﾓｩﾑﾑﾐｻﾐｸﾐｹﾐｳ ﾑﾐｰﾐｽﾐｳﾐｰﾑ ﾐｱﾒｯﾑ ﾑ-ﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｳ ﾐｾﾐｻ. A. [ ]1;1竏 B. [ ] [ ]3; 1 1;6竏 竏 竏ｪ C. [ ] [ ]3; 2 2;6竏 竏 竏ｪ D. [ ]2;2竏 E. [ ]2;6 4. 1 0 4 3 2 4 5sin 3cos 8 x x x x x x ｣ｱ + 竏 竕･｣ｴ ｣ｲ + 站 竏 ｣ｴ + =｣ｳ ﾑﾐｸﾑﾑひｵﾐｼﾐｸﾐｹﾐｽ ﾑ威ｸﾐｹﾐｴ ﾐｰﾐｻﾑ ﾐｽﾑ ﾐｲﾑ? A. 竏 B. 2 4 k k Z ﾏ ﾏ+ 竏 C. 2 k k Z ﾏ ﾏ+ 竏 D. 3 2 k k Z ﾏ 竏 E. 2 k k Z ﾏ 竏 5. 2; 5; 7 -ﾐｴ ﾑﾑσｲﾐｰﾐｰﾐｳﾐｴﾐｴﾐｰﾐｳ ﾐｱﾐｾﾐｻﾐｾﾐｲﾑ 3-ﾐｴ ﾑﾑσｲﾐｰﾐｰﾑﾐｰﾐｴ 1 ﾒｯﾐｻﾐｴﾑ災ｳﾐｴﾑ災ｻ ﾓｩﾐｳﾐｴﾓｩﾐｳ ﾑﾐｰﾐｼﾐｳﾐｸﾐｹﾐｽ ﾐｱﾐｰﾐｳﾐｰ ﾐｽﾐｰﾑびτﾐｰﾐｻ ﾑひｾﾐｾﾐｳ ﾐｾﾐｻ. A.210 B.140 C.70 D.280 E.350 6. ( ) ( )( ) ( )( ) 3 4 3 1 2 3 0 4 5 x x x x x 竏 竏 竏 竕､ 竏 竏 ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ威ｸﾐｹﾐｽ ﾑ威ｸﾐｹﾐｴﾐｸﾐｹﾐｽ ﾐｾﾐｻﾐｾﾐｽﾐｻﾐｾﾐｳ ﾐｰﾐｻﾑ ﾐｽﾑ ﾐｲﾑ? A.] ] [ ] [ ];1 2;3 4;5竏停 竏ｪ 竏ｪ B.[ ] { } ] [1;2 3 4;5竏ｪ 竏ｪ C. [ ] [ ] [ [1;2 3;4 5;竏ｪ 竏ｪ 竏 D.[ ] [ ]1;2 4;5竏ｪ E.] ] [ ] [ [;1 2;4 5;竏停 竏ｪ 竏ｪ 竏 7. ( )1 F x ﾐｱﾐｰ ( )2 F x ﾐｽﾑ ( )f x 竏 ﾐｸﾐｹﾐｽ ﾑ紹ｻﾐｳﾐｰﾐｰﾑひｰﾐｹ ﾑ采 ﾑﾑσｽﾐｺﾑﾒｯﾒｯﾐｴ. ( ) ( ) ( )1 2 1 4 10; 6 8; 6 10F F F= = = ﾐｱﾐｾﾐｻ ( )2 4F 竏 ﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A.7 B.10 C.9 D.8 E.ﾑひｾﾐｴﾐｾﾑﾑﾐｾﾐｹﾐｻﾐｾﾑ ﾐｱﾐｾﾐｻﾐｾﾐｼﾐｶﾐｳﾒｯﾐｹ
  • 2. MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐ･ﾐｭﾐ ﾐ｡ﾐ籍厰 ﾐ･ﾓｨﾐ晩ｨﾐ嶢慱ｨﾐﾐ嶮ｨﾐ ﾐ岱籍厰斷 ﾐ｢ﾐｭﾐ ﾐ籍慴孟侑嶢｢ﾐ籍斷 ﾐ･ﾒｮﾐﾐ頒ｭﾐ 2 8. 25; 1x a= = ﾐｱﾐｾﾐｻ 1 1 1 1 1 1 2 2 4 4 4 4 ( 8 16 )( 2 )( 2 )x a x a x a x a竏 + 竏 + ﾐｸﾐｻﾑ采ﾑﾐｸﾐｹﾐｻﾐｻﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｳ ﾐｾﾐｻ. A.1 B.117 C.61 D.121 E.0 9. 6 ﾐｽﾐｾﾐｼﾑ巾ｳ 2 ﾑﾒｯﾒｯﾑﾐｴﾑ災ｴ ﾑﾑσｲﾐｰﾐｰﾐｶ ﾓｩﾐｳﾓｩﾐｲ. ﾐ･ﾐｸﾑﾐｽﾑ采災ｽ ﾑ紹ｽﾐｷﾐｰﾐｰﾑ ﾓｩﾐｳﾑ ﾐｱﾐｾﾐｻﾐｾﾑ ﾐｲﾑ? A .31 B.32 C.62 D.64 E.63 10. ( )2 2 1 0x x x+ + = ﾑび災ｳﾑ威ｸﾑひｳﾑ災ｻﾐｸﾐｹﾐｽ ﾑﾐｰﾐｼﾐｳﾐｸﾐｹﾐｽ ﾐｱﾐｰﾐｳﾐｰ ﾑ威ｸﾐｹﾐｴ ﾐｰﾐｻﾑ ﾐｽﾑ ﾐｲﾑ? A. 2竏 B. 1竏 C.0 D.1 E. 2 11. ( )4 4 4 log , log , log 1a b cx x x xﾎｱ ﾎｲ ﾎｳ= = = 竕 ﾐｱﾐｾﾐｻ logabc x 竏 ﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A. 1 4 4 4 ﾎｱ ﾎｲ ﾎｳ + + B. 4 ﾎｱﾎｲﾎｳ C.ﾎｱﾎｲﾎｳ D. 4 4 4 ﾎｱ ﾎｲ ﾎｳ + + E. 4 1 1 1 ﾎｱ ﾎｲ ﾎｳ + + 12. 2 20 1 sin cos lim sin 2x x x x x竊 + 竏 ﾑﾑ紹ｷﾐｳﾐｰﾐｰﾑﾑ巾ｳ ﾐｱﾐｾﾐｴ. A. 0 B. 1 4 C. 1 8 D. 1 2 E.竏 13. 2 y ax bx c= + + ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑﾑσｲﾑ糊ｴ ( ) ( ) ( ) 1 ' 0 1 8, 1 10, 4y y y x dx= = =竏ｫ ﾐｱﾐｾﾐｻ , ,a b c 竏 ﾐｳ ﾐｾﾐｻ. A. 3, 4, 1a b c= = = B. 2, 6, 0a b c= = = C. 3, 3, 2a b c= = = D. 4, 3, 1a b c= = = E. 2, 3, 3a b c= = = 14. ﾐ･ﾑ采ﾐｲﾑ采 cos sin 2 sin 4 tg ctg ﾏ ﾎｱ ﾎｱ ﾎｱ ﾎｱ ﾎｱ ｣ｫ ｣ｶ 站 + 站 = 竏抵｣ｬ ｣ｷ ｣ｭ ｣ｸ ﾐｱﾐｾﾐｻ ﾎｱ ﾐｰﾐｻﾑ ﾐｼﾓｩﾑﾐｸﾐｴ ﾐｾﾑﾑ威ｸﾑ ﾐｲﾑ? A. I B.II C.III D.IV E.I ﾐｱﾐｰ II 15. ( )f x ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑひｾﾐｴﾐｾﾑﾑﾐｾﾐｹﾐｻﾐｾﾐｳﾐｴﾐｾﾑ ﾐｼﾑσｶ ﾐｽﾑ [ ]3; 2竏 竏 , ﾑτひｳﾑ巾ｽ ﾐｼﾑσｶ ﾐｽﾑ [ ]4;5 ﾐｱﾐｾﾐｻ ( )5f x ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｽ ﾐｼﾑσｶﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A.[ ]20;25 B.[ ]5;5竏 C. 4 ;1 5 ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ D.[ ]4;5 E. 3 2 ; 5 5 ｣ｮ ｣ｹ 竏 竏抵｣ｯ ｣ｺ｣ｰ ｣ｻ 16. 1 2 3 ; ; ;... 6 11 16 ﾐｴﾐｰﾑﾐｰﾐｰﾐｻﾐｻﾑ巾ｽ ﾑﾑ紹ｷﾐｳﾐｰﾐｰﾑﾑ巾ｳ ﾐｾﾐｻ. A. 1 4 B. 1 3 C. 1 5 D. 1 2 E.0 17. 2sin 5 3 y arctg x ﾏ｣ｫ ｣ｶ = + +｣ｬ ｣ｷ ｣ｭ ｣ｸ ﾑﾑσｽﾐｺﾑﾐｸﾐｹﾐｽ ﾑτひｳﾑ巾ｽ ﾐｼﾑσｶﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A. ; 7 3 arctg ﾏ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ B. 3;7｣ｮ ｣ｹ ｣ｰ ｣ｻ C. ; 7 6 arctg ﾏ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ D. ; 6 4 ﾏ ﾏ｣ｮ ｣ｹ ｣ｯ ｣ｺ｣ｰ ｣ｻ E. ; 6 3 ﾏ ﾏ｣ｮ ｣ｹ 竏抵｣ｯ ｣ｺ｣ｰ ｣ｻ 18. ( )7;2; 3a 竏 ﾐｲﾐｵﾐｺﾑひｾﾑﾑ巾ｳ OXZ ﾑﾐｰﾐｲﾑひｳﾐｰﾐｹﾐｽ ﾑﾑσｲﾑ糊ｴ, ﾐｴﾐｰﾑﾐｰﾐｰ ﾐｽﾑ OZ ﾑび災ｽﾑﾐｻﾑ災ｳﾐｸﾐｹﾐｽ ﾑﾑσｲﾑ糊ｴ ﾑび災ｳﾑ ﾑﾑ災ｼﾑび災ｹ ﾑﾑσｲﾐｸﾑﾐｳﾐｰﾐｲﾐｰﾐｻ 1a ﾐｲﾐｵﾐｺﾑひｾﾑ ﾒｯﾒｯﾑﾐｽﾑ. 1a ﾐｲﾐｵﾐｺﾑひｾﾑﾑ巾ｽ ﾐｺﾐｾﾐｾﾑﾐｴﾐｸﾐｽﾐｰﾑび巾ｳ ﾐｾﾐｻ. A.( )7; 2; 3竏 竏 B.( )7;2; 3竏 竏 C.( )7; 2; 3竏 竏 D.( )7;2; 3 E.( )7;2; 3竏
  • 3. MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐｦﾐｭﾐ寅ｦﾐ｢ﾐｭﾐ ﾐ燐ｨﾐ ﾐ｡ﾐｭﾐ｢ﾐ寅ｭﾐ･ ﾐ斷ｬ ﾐ慴籍｢ﾐ片慴籍｢ﾐ侑墟｢ ﾐ｡ﾐ｣ﾐﾐ籍嶢ｦﾐ籍･ﾐ籍籍｡ ﾐｭﾐ･ﾐｭﾐ嶢頒ｭﾐ 3 19. ﾐ｢ﾑ災ｳﾑ ﾓｩﾐｽﾑﾓｩﾐｳﾑ ( 0 90C =竏｡ ) ABC ﾐｳﾑτﾐｲﾐｰﾐｻﾐｶﾐｸﾐｽﾐｴ CD ﾓｩﾐｽﾐｴﾓｩﾑ ﾑひｰﾑひｰﾐｲ. ﾐ･ﾑ采ﾑ災ｲ CB=21 ﾐｱﾐｰ ACD ﾐｱﾐｾﾐｻﾐｾﾐｽ BCD ﾐｳﾑτﾐｲﾐｰﾐｻﾐｶﾐｽﾑτσｴﾐｰﾐｴ ﾐｱﾐｰﾐｳﾑびﾐｰﾐｽ ﾑひｾﾐｹﾑﾐｳﾑτσｴﾑ巾ｽ ﾑﾐｰﾐｴﾐｸﾑτﾑτσｴﾑ巾ｽ ﾑﾐｰﾑﾑ袴ﾐｰﾐｰ ﾐｽﾑ 1 2: 7 :3R R = ﾐｱﾐｾﾐｻ AC ﾑひｰﾐｻﾑ巾ｽ ﾑτﾑび巾ｳ ﾐｾﾐｻ. A. 343 3 B. 9 C. 49 D. 27 7 E. ﾑひｾﾐｾﾑﾐｾﾐｾﾐｻﾐｾﾑ ﾐｱﾐｾﾐｻﾐｾﾐｼﾐｶﾐｳﾒｯﾐｹ 20. 3 12x x n竏 = ﾑび災ｳﾑ威ｸﾑひｳﾑ災ｻ n 竏 ﾐｸﾐｹﾐｽ ﾑ紹ｼﾐｰﾑ ﾑτひｳﾐｰﾐｽﾐｴ ﾑﾐｾﾑ ﾐｳﾐｰﾐｽﾑ ﾑ威ｸﾐｹﾐｴﾑび災ｹ ﾐｱﾐｰﾐｹﾑ ﾐｲﾑ? ﾐ. ] [2;2n竏 竏 B. ] [16;16n竏 竏 C. 16n = 竏 ﾐｱﾐｰ 16n = D. 16 16n ﾐｱﾐｰ n< 竏 > E. 2n < 竏 ﾐｱﾐｰ 2n > 21. ﾐ慴ｰﾑﾑひｵﾑ 1 ﾑﾐｰﾐｳﾑ 4-ﾓｩﾓｩﾑ ﾐｸﾑ, ﾑﾐｰﾑﾐｸﾐｽ ﾑﾑτﾐｰﾐｳﾑ ﾑぴｯﾒｯﾐｽﾑ采采 2-ﾐｾﾐｾﾑ ﾐｱﾐｰﾐｳﾐｰ ﾐｴﾐｵﾑひｰﾐｻﾑ ﾒｯﾐｹﾐｻﾐｴﾐｲﾑ采ﾐｻﾑ災ｴﾑ災ｳ. ﾐ厘ｰﾑﾐｸﾐｰﾐｻﾐｳﾑ巾ｳ ﾐｼﾐｰﾑﾑひｵﾑ ﾐｱﾒｯﾑﾑ災ｻ ﾑひｾﾐｾﾐｽﾑ ﾑﾐｰﾐｳﾑ ﾒｯﾐｹﾐｻﾐｴﾐｲﾑ采ﾐｻﾑ災ｴﾑ災ｳ, ﾐｳﾑτﾐｲﾐｰﾐｽ ﾑﾑτﾐｰﾐｳﾑ ﾑﾐｰﾐｼﾑひｴﾐｰﾐｰ ﾐｼﾐｰﾑﾑひｵﾑﾐｰﾐｰﾑ 2 ﾑﾐｰﾐｳﾐｰﾐｰﾑ ﾐｱﾐｰﾐｳﾐｰ ﾑﾑσｳﾐｰﾑﾐｰﾐｰﾐｽﾐｴ ﾐｳﾒｯﾐｹﾑﾑ采ひｳﾑ災ｴﾑ災ｳ. ﾐ･ﾐｸﾑﾐｽﾑ采災ｽ ﾐｷﾐｰﾑﾐｸﾐｰﾐｻﾐｳﾐｰ ﾐｸﾑﾑﾑ災ｽ ﾐｱﾑ? A. 48 B. 24 C.10 D.14 E. 28 22. ﾐ籍ｴﾐｸﾐｻ ﾑﾐｰﾐｶﾑττ ﾑびﾐｰﾐｿﾐｵﾑﾐｸﾐｹﾐｽ ﾐｴﾑσｽﾐｴﾐｰﾐｶ ﾑ尉σｳﾐｰﾐｼ ﾐｽﾑ 4 3 ﾐｱﾐｰ ﾐｴﾐｸﾐｰﾐｳﾐｾﾐｽﾐｰﾐｻﾐｸﾑσｴﾑ巾ｽ ﾐｾﾐｳﾑひｻﾐｾﾐｻﾑﾐｾﾐｻﾑ巾ｽ ﾑﾑ災ｳﾑ采采 ﾑﾐｰﾐｶﾑτ ﾑひｰﾐｻ 0 60 窶酉巾ｽ ﾓｩﾐｽﾑﾐｳﾓｩﾓｩﾑ ﾑﾐｰﾑﾐｰﾐｳﾐｴﾐｴﾐｰﾐｳ ﾐｱﾐｾﾐｻ ﾑびﾐｰﾐｿﾐｵﾑﾐｸﾐｹﾐｽ ﾓｩﾐｽﾐｴﾑﾐｸﾐｹﾐｳ ﾐｾﾐｻ. A. 2 3 B. 4 3 C. 4 D. 2 3 E. 2 23. ﾐ･ﾑ采ﾐｲﾑ采 x ﾐｽﾑ ( )( )2 2 5 6 11 30 0x x x x竏 + 竏 + < ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ威ｸﾐｹﾐｳ ﾑﾐｰﾐｽﾐｳﾐｰﾐｴﾐｰﾐｳ ﾐｱﾐｾﾐｻ ﾐｴﾐｰﾑﾐｰﾐｰﾑ ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ惟ｯﾒｯﾐｴﾑ采采 ﾐｰﾐｻﾑ ﾐｱﾐｸﾐｵﾐｻﾑ采 ﾐｲﾑ? A. sin 2 0x < B.sin 2 0x > C.cos2 0x < D.cos2 0x > E. 2 0tg x > 24. 11-ﾑ ﾐｰﾐｽﾐｳﾐｸ ﾑふｩﾐｳﾑﾓｩﾐｳﾑﾐｴﾐｸﾐｹﾐｽ 4 ﾑﾒｯﾒｯﾑﾑ災ｴ ﾑびτひｼﾑ巾ｽ 1 ﾐｽﾑ ﾐ慴ｰﾑひｵﾐｼﾐｰﾑひｸﾐｺﾐｸﾐｹﾐｽ ﾑﾐｸﾑﾑ采災ｻﾑ采采 ﾐｵﾑﾓｩﾐｽﾑﾐｸﾐｹ ﾑ威ｰﾐｻﾐｳﾐｰﾐｻﾑ ﾓｩﾐｳﾐｴﾓｩﾐｳ. ﾐ｢ﾑ災ｳﾐｲﾑ災ｻ ﾑﾐｰﾐｽﾐｰﾐｼﾑﾐｰﾑﾐｳﾒｯﾐｹ ﾑﾐｾﾐｽﾐｳﾐｾﾑﾐｾﾐｽ 4 ﾑふｩﾐｳﾑﾓｩﾐｳﾑﾐｸﾐｹﾐｽ ﾑ紹ｴﾐｰﾐｶ ﾐｽﾑ災ｳ ﾐｽﾑ ﾐ慴ｰﾑひｵﾐｼﾐｰﾑひｸﾐｺﾐｸﾐｹﾐｽ ﾑﾐｸﾑﾑ采災ｻﾑ采采 ﾐｵﾑﾓｩﾐｽﾑﾐｸﾐｹ ﾑ威ｰﾐｻﾐｳﾐｰﾐｻﾑ ﾓｩﾐｳﾓｩﾑ ﾐｼﾐｰﾐｳﾐｰﾐｴﾐｻﾐｰﾐｻﾑ巾ｳ ﾐｾﾐｻ. A. 1 4 B. 81 256 C. 37 64 D. 175 256 E. 27 64 25. ABCD ﾑﾐｾﾐｼﾐｱﾐｾ ﾐｱﾐｾﾐｻﾐｾﾐｽ ﾑぴｯﾒｯﾐｽﾐｸﾐｹ ﾐｸﾑ ﾐｴﾐｸﾐｰﾐｳﾐｾﾐｽﾐｰﾐｻﾐｸﾐｰﾑ ﾑひｰﾐｻﾐｰﾐｰ ﾑﾐｸﾐｹﾑﾑ災ｽ ABC ﾐｳﾑτﾐｲﾐｰﾐｻﾐｶﾐｸﾐｽﾐｴ ﾑびτ ﾑびτ ﾑひｾﾐｹﾑﾐｾﾐｳ ﾐｱﾐｰﾐｳﾑひｶﾑ采. ﾐ･ﾑ采ﾑ災ｲ ﾑﾐｾﾐｼﾐｱﾑ巾ｽ ﾑﾑτﾑ ﾓｩﾐｽﾑﾓｩﾐｳ ﾐｽﾑ 0 60 ﾐｱﾐｾﾐｻ ﾐｴﾑ采采ﾑ ﾑひｾﾐｹﾑﾐｳﾑτσｴﾑ巾ｽ ﾑﾐｰﾐｴﾐｸﾑτﾑτσｴﾑ巾ｽ ﾑﾐｰﾑﾑ袴ﾐｰﾐｰﾐｳ ﾐｾﾐｻ. A. 3 2 B. 2 0 2cos 15 C. 2 0 cos 15 D. 3 4 E. 1 2 26. 0 144 -ﾑ巾ｽ ﾐｴﾑσｳﾑσｹﾐｽ ﾑﾐｵﾐｺﾑひｾﾑﾐｾﾐｾﾑ ﾒｯﾒｯﾑﾐｳﾑ災ｳﾐｴﾑ采 ﾐｺﾐｾﾐｽﾑτﾑ巾ｽ ﾑﾐｰﾐｶﾑτ ﾐｳﾐｰﾐｴﾐｰﾑﾐｳﾑ巾ｽ ﾑひｰﾐｻﾐｱﾐｰﾐｹﾐｳ ﾑﾑττﾐｸﾐｹﾐｽ ﾑひｰﾐｻﾐｱﾐｰﾐｹﾐｴ ﾑﾐｰﾑﾑ袴ﾑτσｻﾑﾐｰﾐｽ ﾑﾐｰﾑﾑ袴ﾐｰﾐｰ ﾑﾑ災ｴ ﾐｲﾑ? A. 8 3 B. 10 3 C. 2,5 D.3 E. 2
  • 4. MATH-800 ﾐ｡ﾐ榧ﾐ侑 26 ﾐ孟侑ｨﾐ侑 ﾐ頒籍籍嶢寅籍漬籍 ﾐ･ﾐｭﾐ ﾐ｡ﾐ籍厰 ﾐ･ﾓｨﾐ晩ｨﾐ嶢慱ｨﾐﾐ嶮ｨﾐ ﾐ岱籍厰斷 ﾐ｢ﾐｭﾐ ﾐ籍慴孟侑嶢｢ﾐ籍斷 ﾐ･ﾒｮﾐﾐ頒ｭﾐ 4 II ﾑﾑ采ﾑ災ｳ. ﾐ旁ｩﾑﾓｩﾑ ﾑひｵﾑﾑ 2.1 ( ) ( ) ( ) ( )0;0 , 1;0 , 1;1 , 0;1O A B C ﾑﾑ災ｳﾒｯﾒｯﾐｴ ﾐｴﾑ采采 ﾐｾﾑﾐｾﾐｹﾑひｾﾐｹ ﾐｺﾐｲﾐｰﾐｴﾑﾐｰﾑひｰﾐｰﾑ ( );M x y ﾑﾑ災ｳﾐｸﾐｹﾐｳ ﾑﾐｾﾐｽﾐｳﾐｾﾐｽ ﾐｰﾐｲﾐｰﾑﾐｰﾐｴ ﾑぴｯﾒｯﾐｽﾐｸﾐｹ ﾐｺﾐｾﾐｾﾑﾐｴﾐｸﾐｽﾐｰﾑびτσｴﾑ巾ｽ ﾑﾑσｲﾑ糊ｴ a) y x< ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾐｵﾐｻﾑ采 ﾐｼﾐｰﾐｳﾐｰﾐｴﾐｻﾐｰﾐｻ ﾐｽﾑ 1 . a P b = ﾐｱ) 2 3 x y x> > ﾑび災ｽﾑﾑ采ひｳﾑ災ｻ ﾐｱﾐｸﾑ ﾐｱﾐｸﾐｵﾐｻﾑ采 ﾐｼﾐｰﾐｳﾐｰﾐｴﾐｻﾐｰﾐｻ ﾐｽﾑ 2 . c P de = 2.2 ABCD ﾐｺﾐｲﾐｰﾐｴﾑﾐｰﾑ ﾑﾑττﾑ袴ひｰﾐｹ S ﾐｾﾑﾐｾﾐｹ ﾐｱﾒｯﾑﾐｸﾐｹ ﾐｷﾓｩﾐｲ ﾐｿﾐｸﾑﾐｰﾐｼﾐｸﾐｴﾐｸﾐｹﾐｽ ﾑﾑττﾐｸﾐｹﾐｽ ﾐｱﾐｾﾐｻﾐｾﾐｽ ﾑﾐｰﾐｶﾑτ ﾐｸﾑﾐｼﾑ災ｳ ﾑﾐｰﾑﾐｳﾐｰﾐｻﾐｷﾐｰﾐｽ 2 5; 5. ﾐ ﾐｾﾑﾐｾﾐｹﾐｳﾐｾﾐｾﾑ SDC ﾑひｰﾐｻﾑ ﾑﾑτ ﾐｱﾑτσｻﾐｳﾐｰﾑﾐｰﾐｽ ﾐｿﾐｵﾑﾐｿﾐｵﾐｽﾐｴﾐｸﾐｺﾑσｻﾑ肖ﾑ巾ｽ ﾑﾑττﾐｸﾐｹﾐｳ H ﾐｳﾑ災ｲﾑ災ｻ AH 窶酉巾ｽ ﾑﾑττﾐｸﾐｹﾐｽ ﾑﾐｰﾐｲﾑひｳﾐｰﾐｹﾑひｰﾐｹ ﾒｯﾒｯﾑﾐｳﾑ采 ﾓｩﾐｽﾑﾓｩﾐｳ ab ﾐｱﾐｰ AH cd= ﾐｱﾐｰﾐｹﾐｽﾐｰ. 2.3. O ﾑﾑ災ｳﾑ ﾑふｩﾐｲﾑび災ｹ 3ﾑﾐｼ ﾑﾐｰﾐｴﾐｸﾑτﾑひｰﾐｹ ﾑひｾﾐｹﾑﾐｳﾐｸﾐｹﾐｽ EF ﾐｴﾐｸﾐｰﾐｼﾐｵﾑび ﾐｴﾑ采采 ﾐｾﾑﾑ威ｸﾑ ﾐ ﾑﾑ災ｳﾐｸﾐｹﾐｳ ﾐｴﾐｰﾐｹﾑﾑτσｻﾐｰﾐｽ ﾑぴｯﾒｯﾐｽﾑび災ｹ 300 ﾓｩﾐｽﾑﾓｩﾐｳ ﾒｯﾒｯﾑﾐｳﾑ采 AB ﾑﾓｩﾐｲﾑﾐｸﾐｹﾐｳ : 3:7AM MB = ﾐｱﾐｰﾐｹﾑﾐｰﾐｰﾑ ﾑひｰﾑひｰﾐｲ. AB ﾑﾓｩﾐｲﾑﾐｸﾐｹﾐｽ ﾐｴﾑσｽﾐｴﾐｰﾐｶﾐｸﾐｹﾐｳ K ﾐｳﾑ災ｲﾑ災ｻ 1 5 OK AB a = ﾑびσｻ ﾐ渙ｸﾑﾐｰﾐｳﾐｾﾑﾑ巾ｽ ﾑひｵﾐｾﾑﾐｵﾐｼﾑ采采 2 00 79 bc AB = ﾐｱﾐｰﾐｹﾐｽﾐｰ. A ﾑﾑ災ｳﾑ采采 2 d AB站 ﾐｷﾐｰﾐｹﾐｴ ﾐｾﾑﾑ威ｸﾑ, EF ﾐｴﾐｸﾐｰﾐｼﾐｵﾑびﾑ ﾐｿﾐｵﾑﾐｿﾐｵﾐｽﾐｴﾐｸﾐｺﾑσｻﾑ肖 BC ﾑﾓｩﾐｲﾑﾐｸﾐｹﾐｽ ﾑτﾑ ﾐｽﾑ 0 e AB f 站 ﾑびσｻ 1 90 316 ABC g S h= 站 ﾐｱﾐｾﾐｻﾐｽﾐｾ. 2.4 A ﾑﾑ災ｳﾑ采采 ﾐｳﾐｰﾑﾑﾐｰﾐｽ ﾑ紹ｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽ 4 ﾐｺﾐｼ ﾑ紹ｲﾑﾐｽﾑ ﾐｴﾐｰﾑﾐｰﾐｰ ﾑぴｯﾒｯﾐｽﾑ采采 6ﾐｺﾐｼ/ﾑﾐｰﾐｳ-ﾐｰﾐｰﾑ ﾐｸﾐｻﾒｯﾒｯ ﾑﾑτﾐｴﾑひｰﾐｹ ﾐｴﾑσｳﾑσｹﾑひｰﾐｹ ﾑﾒｯﾐｽ ﾐｰﾑﾐｰﾐｰﾑ ﾐｽﾑ ﾐｳﾐｰﾑﾑﾑ采. ﾐ飯σｳﾑσｹﾑひｰﾐｹ ﾑﾒｯﾐｽ ﾐｳﾐｰﾑﾑﾐｽﾐｰﾐｰﾑﾐｰﾐｰ a b ﾑﾐｰﾐｳﾐｸﾐｹﾐｽ ﾐｴﾐｰﾑﾐｰﾐｰ ﾑ紹ｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽﾐｸﾐｹﾐｳ ﾐｳﾒｯﾐｹﾑﾑ采災ｴ ﾑﾐｾﾑ帯σｻ ﾐｱﾑτﾐｰﾐｶ 6ﾐｺﾐｼ/ﾑﾐｰﾐｳ ﾑﾑτﾐｴﾑひｰﾐｹ ﾑ紹ｲﾑﾐｰﾐｰﾑ A-ﾐｴ ﾐｸﾑﾐｶﾑ采. ﾐｯﾐｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽﾐｸﾐｹ ﾑﾑτﾐｴﾑ巾ｳ ﾎｽ ﾐｳﾑ災ｲﾑ災ｻ ﾑぴｯﾒｯﾐｽﾐｸﾐｹ ﾑ紹ｲﾑﾐｰﾐｽ ﾐｽﾐｸﾐｹﾑ ﾑﾑσｳﾐｰﾑﾐｰﾐｰ ﾐｽﾑ c e v t vd f = + + ﾐｱﾐｾﾐｻﾐｾﾑ ﾐｱﾐｰv g= ﾒｯﾐｵﾐｴ ﾑ紹ｲﾐｳﾐｰﾐｽ ﾑﾒｯﾐｽﾐｸﾐｹ ﾐｷﾑσｳﾐｰﾐｰﾐｻﾑﾐｰﾐｽ ﾑﾑσｳﾐｰﾑﾐｰﾐｰ ﾑﾐｰﾐｼﾐｳﾐｸﾐｹﾐｽ ﾐｱﾐｰﾐｳﾐｰ ﾐｱﾐｰﾐｹﾐｽﾐｰ.