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???2016??????????????????

??????????????????????????????????????????????????????????????????????????1.(1)6,(2)2003.

2.a+b=c+d-14?a+c=b+d-2?a+d=b+c 3.13,3n+1 4.C5.B ??:??????????????1?1999?????6??1??,??334?.6.C7.??:????????,???????????????,??100??,?100????,?99??? =33???.8.??:????????????????:????????????????,??????????????,??n???1???n2;?????n???(n-1)2+1;??n?????????n??????1;??n?????????n??????1.????:(1)???10?,???13??????13???10??,?[(13-1)2+1]+9=154.(2)?127????? 127=112+6=[(12-1)2+1]+5,?127???12?,???6????.9.(1)(2n+1)(2n+3)=4(n+1)2-1;(2) ,- ?????????1,2,3, ,???1???198???1???1997?????????????.10.7n+6,285 11.?

12.S=74(n-1)-5n=23n-8(n3) 13.B 14.C15.(1)??:?,??=(2)??= ?????????n-1?.16.(1)?;(2)???+??-??=2;(3)?????,??(2)???.17.(1)???,???(a+1)+( )= = =(a+1)(2)??????:???????,??????????? ???????,???????????????????????????????????????????????????

????????????????2016?

????????????????????????????????????????????????????????????????????????????????????????????1.B 2 .D 3.C 4..B 5.D 6.C 7.C 8.A 9.A 10..B 11.?; 12.1;13.8.; 14.20;15.7n+8?50;16.7[3-(-3) 17.(1)-0.7;(2)19.50?1+3+5+7++(2n+1)=n220.(1)????????????2(1412)4(?)??????20????????1218.2; 3208(?) 30??4?8?? ??????????????.(2)??????x???.?????12x214x96.???????x6?6301810(?)??????10021.20? 3????????????????????????????????????????????????????!

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1. ?2012????3???? ????ABC???BAC=90�?AB=8?AC=6?DE?AB???????????D???BC??E???AE???ACE????? ?

A?16B?15C?14D?13

????A?

????????????????????

??????AE?

??Rt?ABC???BAC=90�?AB=8?AC=6?

? ?

?DE?AB?????????AE=BE?

??ACE?????AE+EC+AC=BE+CE+AC=BC+AC=10+6=16???A?

2. ?2012????3???Rt?ABC????C= ?BC=6?AC=8?? A???? ?

(A) (B)(C) (D)

????C?

??????????????????

??????Rt?ABC???C= ?BC=6?AC=8?

?????????AB=10?

? A? ???C?

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1. ?2012????3???????ABC???ACB=90�??A=60�?AC=a????AB???CD?????????ACD?DE?BC??E??Rt?BDE??DB???EF?????????DEF??????�??n???????????

2. ?2012????3??????ABC??D?E???AB?AC????DE=3cm??BC?

? cm?

????6?

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?????D?E???AB?AC?????DE??ABC?????

?DE=3cm??????????????????????BC?6cm?

3. ?2012????3????????????AB??????????????????????9m?D??????CD????1.5m??C????????A???? 36�?????AB????? ? m????0.1m????????sin36�?0. 59?cos36�?0.81?tan36�?0.73?

????8.1?

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????????DB=9m?CD=1.5m?????????????CE=9m?BE=1.5m? ?Rt?ACE??AE=CE?tan?ACE=9 tan360?9�0.73=6.57?

?AB=AE?BE?6.57?1.5=8.07?8.1?m??

4. ?2012????3?? ????ABC??A1B1C1???????O???????

??????1?2????ABC????3????A1B1C1???? ? ?

????12?

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??????ABC??A1B1C1????????ABC??A1B1C1?

?????1?2??????1?2???ABC??A1B1C1??????1?4? ??ABC????3???A1B1C1?????3�4=12?

5. ?2012????3??????ABC????32??????????????2????????2????????????????3?????�???n???????? ? ?

???? ?

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?????????????ABC????32??????????????2?????????????????2????????32� ?

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?4????????32� � =32� ?

�

??n????????=32� ?

6. ?2012????4?????ABC??A?B?C??????3?4??ABC????6???A?B?C????? ? _.

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?????????????????????????ABC?????A?B?C????=3?4?

??ABC????6???A?B?C?????8?

7. ?2012????3????????????????A?B?????????A?????60�

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??PAC=30�?AP=4�2=8??PC=AP�sin30�=8� =4?

?????B???????????PBC=45�

?PB=PC� ?

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1. ?2012????10??????????PQ?MN???????PQ???A???B????????AB=30???????MN????C?AC?MN????MN?

??C?????????D????ADC=30�??BDC=60�?????????? ?

1.732?????????????

????????B?BE?MN??E??CE=AB=30??CD=CE+ED?AC=BE? ??????x?

?Rt?ACD???AC?MN?CE=AB=30???ADC=30�?

? =tan?ADC?? ?? ?

?Rt?BED?? =tan?BDC?? ??? ?

? ??? ?

?????????26.0??

????????????????????????????????????????

??????B?BE?MN??E??CE=AB=30??CD=CE+ED?AC=BE??Rt?ACD??????????????? =tan?ADC??Rt?BED?? =tan?BDC?????????AC???????????

2. ?2012????22??????ABC???????????????????????????????????????????AB?BC?CA???????????.????B??A????30�?????C??A????60�??????B??C????75�????AC????400?.??????????????????????????????? ?

????????AB?D???CD?AD?D?

??????BAC=30�??BCA=15�???DBC=?DCB=45�?

?Rt?ADC???AC=400???BAC=30�?

?CD=BD=200???BC=200 ??AD=200 ??

?AB=AD?BD=?200 ?200???

????ABC????

400?200 ?200 ?200?829????

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??????AB?D???CD?AD?D???????BAC=30�??BCA=15�???????????????DBC=?DCB=45�????Rt?ADC????CD=BD=200?????????ABC????

3. ?2012????12??????P?????A????????B????24.50???????????2400m???Q????A?????490???B?????410???

?1???BQ?PQ???????????

?2??A?B?????????cos410=0.75??

4. ?2012????10???????????????????????????????????

????A???37�???B????A?????????,????A????AB??10????

???A?????C????????????????????????50�?????????

??????????????????????BC??????30??????????????

???????????????C??

(?????sin37�?0.60?cos37�?0.80?sin50�?0.77?cos50�?0.64?

sin53�?0.80?cos53�?0. 60?sin40�?0.64?cos40�?0.77)

???????B??BD?AC????D?

????????ABD=?BAM=37�??CBD=?BCN=50�?

?Rt?ABD???cos?ABD= ??cos37?= ?0.80?

?BD?10�0.8=8?????

?Rt?CBD???cos?CBD= ??cos50?= ?0.64?

?BC?8�0.64=12.5?????

?12.5�30= ?????? �60=25?????

??????25?????????C??

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?????B??BD?AC????D?????????ABD=?BAM=37�??CBD=?BCN=50�??????Rt?ABD?Rt?CBD??????????BD?BC??????????

5. ?2012????10???????AB?16???????CD??????B????????

?38.5�?????A?????????22�????CD??????????BD??.

(?????sin22�?0.37? cos22�?0.93, tan22�?0.40? sin38.5�?0.62?cos38.5�?0.78, tan38.5�?0.80 )

????????A?AE?CD??E????????CAE=22�??CBD=38.5�?ED=AB=16??

??????????BD??? ???AE=BD= ? ??Rt?BCD?,tan ?CBD= ?

?CD=BD tan 38.5�?0.8 ?

??Rt?ACE?,tan ?CAE= ?

?CE=AE tan 22�?0.4 ?

?CD-CE=DE??0.8 -0.4 =16 ?? =40?

?BD=40??CD=0.8�40=32(?)?

????CD?32???????????BD???40??

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??????A?AE?CD??E??AE=BD= ??Rt?BCD?Rt?ACE????????????? CD=0.8 ?CE= 0.4 ???CD-CE=DE????????


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