2014年广州市一模理数标准参考答案.pdf

1 2013 1 2 3 4 8540 12345678 DBCDACAB 730 14 15 9 1 2 101 1112 38 12 1 2 7 2 138 2 2nn 14 11 1 6 154 1323 14 11 12 6 kkZ 680 1612 f x20A2A f x8 2 8T 4 2sin 44 f xx 2 2 2sin2cos2 244 f 4 2sin2sin2 44 f 5 5 56 6 DAC 1 11 15154 4 13 14 16 2 7 7 2 2 13 1111 121212 1111 1212 1111 1212121212121212121212 1111 121212 6 6 6 6 6 8080 f x f xf x f xxf xx 2sin 2sin 2 2 2 4 2 PQ 6 2 3 3 2OPPQOQ 222 222 63 22 3 3 cos 232 63 2 OPOQPQ POQ OP OQ 2 1POQPOQ 6 3 POQ 116 63 2 223 SOP OQPOQ3 2 2 2sin2cos2 244 f 4 2sin2sin2 44 f 2 2 4 2 PQ 2 2 4 2 OPOQ 63 coscos 363 2 OP OQ POQOP OQ OP OQ 2 1POQPOQ 6 3 POQ 116 63 2 223 SOP OQPOQ3 2 2 2sin2cos2 244 f 4 2sin2sin2 44 f 2 2 4 2 PQ OP 2 2 yx20 xy 116 63 2 223223 116116 63 2 116 2 2sin2cos2 4 2sin2sin2 4 2sin2sin2 4 2sin2sin2 4 2sin2sin2 4 2sin2sin2 44 4 2sin2sin2 4 2sin2sin2 4 2sin2sin2 4 2sin2sin2 4 2sin2sin2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 coscos POQOP OQcoscos coscos POQOP OQcoscos POQPOQPOQPOQ 3 2 6363 63 2 OP OQ OP OQOP OQ 63OP OQ POQPOQPOQPOQPOQPOQPOQPOQ 2 POQPOQ 6 6 116116 223223 SOP OQPOQSOP OQPOQ 116116 223223 SOP OQPOQSOP OQPOQSOP OQPOQSOP OQPOQSOP OQPOQ 116116 2 2sin2cos2 2 2sin2cos2f 2 2sin2cos2 2 2sin2cos2 2 2sin2cos2 2 2sin2cos2 4 2sin2sin2 4 2sin2sin2f f 4 2sin2sin2 3 QOP 42 2 3 3 d 6OP POQ 11 62 3 22 SOPd3 2 1712 ABC 1 2 P AP Bm P Cn 0 13 101 44 P 11 011 24 PP ABCmn 11 3 224 PP ABCmn 1 12 mn 7 12 mn mn 1 3 m 1 4 n 1aPP ABCP ABCP ABC 11111 1111 22224 mnmnm n 2 1 0 1 3 bPPPP 1 4 0 0 1 1 2 2 3 3 EPPPP 13 12 C P AP Bm P CnP AP Bm P CnP AP Bm P Cn 0 101101101101101101101101101101101 PP ABCmnPP ABCmn011011011011011011011 PP ABCmnPP ABCmn3PP ABCmnPP ABCmnPP ABCmnPP ABCmn3 13 4444 1111 2424 PP ABCmnPP ABCmn 1111 011 11 011PP ABCmnPP ABCmn011 1111 224224 PP ABCmn 11 PP ABCmn 12 7 mnmn mn 1 1 m m aPP ABCP ABCP ABCaPP ABCP ABCP ABC1aPP ABCP ABCP ABCaPP ABCP ABCP ABCaPP ABCP ABCP ABCaPP ABCP ABCP ABCaPP ABCP ABCP ABCaPP ABCP ABCP ABC1aPP ABCP ABCP ABCaPP ABCP ABCP ABCaPP ABCP ABCP ABC 1111111111 22224 4 H F A B C A1 C1 B1 D E 1814 1 1 ADACFBF CD 1 AACD 1 2 1 AA CAF EAB CEBF BF 1 ABDCE 1 ABD CE 1 ABD 2 1 AAABCCEABC 1 AACE ABC2EAB CEAB 3 3 2 CEAB AB 1 A AB 1 AA 1 A AB 1 ABAAA CE 1 A AB EHCCH 1 A AB 3CE RCEH 3CE EHC EHEH EHEHCEHC 1 EHABEHC 3CE EHC EHEH 15 2 2 5 5 EH CEBFCE 1 A AB H A B B1 1 D ABCABC 3 2 2 CEABCEAB 3 CEABCEABCEABCEAB 1 A AB 1 CECEA AB EHCEHC F F 1 A AB 1 ABAAAABAAAABAAAABAAAABAAA 1 A ABA AB 1 CEH EHEH EHAB 5 z y x H A B C A1 C1 B1 D E F BF 1 A AB AB 1 A AB 1 AB 1 A AB BFABBF 1 AB 1 ABA 1 ABDABC REHB 22 BHEBEH 5 5 1 ABA 5 5 BH EB 1 ABDABC 5 5 1 1 A BFDFEF EAB EF 1 AA 1 1 2 EFAA CD 1 AACD 1 2 1 AA EFCDEFCD EFDC CEDF DF 1 ABDCE 1 ABD CE 1 ABD 2 1 AAABCCEABC 1 AACE ABC2EAB CEAB 3 3 2 CEAB AB 1 A AB 1 AA 1 A AB 1 ABAAA CE 1 A AB EHCCH 1 A AB 1 ABA1 BHBH EBEB 5 5 5 EFEF 1 1 2 EFAA1 1 CDCD 1 2 2 AA CDEFCD EFDC CECEDF DF CECE 2 z A1 CE 1 ABDABD 1 ABCABCCE CECE ABCABC CECE 6 3CE RCEH 3CE EHC EHEH EHEHCEHC 1 EHABEHC 3CE EHC EHEH 15 2 2 5 5 EH REHB 22 5 5 BHEBEH REHBR 1 A AB 1 EHBH AAAB 1 2 55 55 2AA 1 4AA AACxACy 1 AAz Axyz 0 0 0A 1 A0 0 4B3 1 0D02 1 AA0 0 4 1 AB 1 AD02 A BDnx y z n 1 0ABn 1 0AD 340 220 xyz yz 1y13zx A BDn3 1 1 1 AAABC 1 AA0 0 4ABC EHEHEHEH 5 5 5 1 2 552 55 55 2AA1 AC Axyz 0 0 0A A 0 0 0 1 AAAA 1 AC B3 1 03 1 03 1 0 1 AB 1 n n 0 0ABn nADAD 340340 220220 xyzxyz340340340 yz220220 340340340 xyzxyz340340340340 220220220 y y 7 1 1 1 nAA n AA n AA 5 5 1 ABDABC 5 5 1914 n 123 23 1 2 nn aaananSn 1n 11 1 1 2 aS 1 2a 123 23 1 2 nn aaananSn 12311 23 1 2 1 nnn aaanananSn 11 1 1 2 nnn nanSnS 11 1 1 2 nnnn nSSnSnS 1 22 nn SS 1 22 2 nn SS 11 2240Sa 2 n S 1 24 2n n S 11 4 2222 nn n S 2n 1 1 22 22 2 nnn nnn aSS 1 2a 2n n a 111 1 1 22 nnnnnn nanSnSn SSS 1 2 nn aS 2n 1 2 nn aS 2 2 23 1 2aaananSn 1231112311 23 1 2 1 23 1 2 1 1231112311123111231112311123111231112311 23 1 2 1 23 1 2 1 23 1 2 1 123111231112311 23 1 2 1 12311123111231112311123111231112311123111231112311123111231112311 23 1 2 1 23 1 2 1 23 1 2 1 23 1 2 1 12311123111231112311123111231112311 1 1 2 1 1 2 nnn11 1 1 2 11 1 1 2 1 1 2 1 1 2 1 1 2 11 1 1 2 1111111111 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1111 1 1 2 1 1 2 nnnnnnnn 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 nnnnnnnnnnnn1111 1 1 2 1 1 2 1 1 2 1111 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 11 1 1 2 1 1 2 1 1 2 11 1 1 2 1 1 2 1 1 2 11 22 nnnn 2222 22 2 nn1 22 2 SS 1 22 2 nn1 22 2 nn SS nn 22 2 SS22 2 11 2240Sa 11 2240 11 2240Sa 11 2240 11 1 1 2 1 1 2 nnnn 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 24 224 2n4 2222 n S Sn4 2222 2 nnnnnn aSSaSS nnnnnn aSSaSSaSS 1 2 2a 2n n n a an n 8 1 2 nn aa 122 24aaS 2 4a 21 2aa n a 1 2a2n n a p q r 2prq 111 pqr aaa 2 111 prq aaa 2 212121 prq 2222 prq pr 222 2222 prprq 111 pqr aaa 2014 1 1 C 22 22 1 xy ab 0ab 22 22 22 23 1 4 ab ab 2 2 16 12 a b 1 C 22 1 1612 xy 2 1 C 22 22 1 xy ab 0ab 12 28aAFAF4a 2c 222 12bac 2222 prq 2222 prprq 222 2222222 2222222 2222222 2222222 2222222 2222222 2222 111111 pqrpqr aaaaaa111111111 pqrpqr aaaaaa111111111111111111111111111 14 1 22 2222 1 1 xyxy abab 2222222222 xyxy ab 22 22 1 1 4 abab ab 2222 ab 22 1 1 C C 2 2 9 1 C 22 1 1612 xy 2 1 4 1 2 11 xxB 4 1 2 22 xxC 4 1 2 1 2 212 xxxxBC 4 1 3 2 2 11 xxBA CBA BCBA 222 211211 11 32 44 xxxxxx 121 2 212xxx x 2 4xy 2 1 4 yxy 1 2 x 2 CB 1 l 24 1 1 12 1 xx x xy 2 1 1 4 1 2 xx x y 2 CC 2 l 2 2 2 4 1 2 xx x y yxP 2 1 1 4 1 2 xx x 2 2 2 4 1 2 xx x 21 xx 2 1 21 xxx 21 4 1 xxy 21 2xxx 21 4xxy1244yxP3xy 1212 PFPFAFAFP 1 CP3xy 3xy 1 C 3 0 3xy 1 C 1212 PFPFAFAFP 1 2 x x 1 l1 2 C2C C yxP P 21 1 xx x 1 1 xxy 2 2 4 1 1 2 2 x xx x x x y 2 1 4 x 2 2 1 2 2 x x x x 2 x 2 21x 2 x 1 4 4xxy 121212121212 PFPFAFAFPFPFAFAFPFPFAFAFPFPFAFAF 12121212 PFPFAFAFPFPFAFAFPFPFAFAF 121212121212 10 2 11 yxB 22 yxC 00 yxP 2 4xy 2 1 4 yxy 1 2 x 2 CB 1 l 2 1 1 1 xx x yy 2 11 1 2 1 2 xyx x y 2 11 4 1 xy 1 1 2 yx x y 00 yxP 1 l 10 1 0 2 yx x y 20 2 0 2 yx x y 2211 yxCyxByx x y 00 2 2211 yxCyxB Lyx x y 00 2 3 2 AL3 00 xy P3xy 1212 PFPFAFAFP 1 C3xy 3xy 1 C 3 0 3xy 1 C 1212 PFPFAFAFP LL23yk x 2 23 4 ykx xy y 2 48120 xkxk 1122 B xyC xy 121 2 4812xxk x xk 10 2 2 yx 2211 1 yxCyx 2 22 2 y yx xC x y0 3 2 A A P PFPFAFAF x x x x y y 00 0 2 3 0 00 x xy 3x 121212121212 PFPFAFAFPFPFAFAF 1212121212121212 PFPFAFAFPFPFAFAF 12121212 3xC 3x xy PFPFAFAFPFPFAFAF 11 2 4xy 2 1 4 yxy 1 2 x 2 CB 1 l 2 1 1 1 xx x yy 2 11 1 2 1 2 xyx x y 2 11 4 1 xy 2 1 1 1 24 x yxx 2 CC 2 l 2 2 2 1 24 x yxx 2 1 1 2 2 2 1 24 1 24 x yxx x yxx 12 12 2 2 23 4 xx xk x x yk 223Pkk 1212 PFPFAFAF P 22 1 1 1612 xy C 22 223 1 1612 kk 2 71230kk 2 124732280 P 14 x 2 211fxmxm1m m 22 120 xam xmm1m m 22 12xam xmm1xmxm 22 12xam xmm 2 211xmxm m 2 2 2424 yxx2 23ykyk232323 2222 1 16121612 xyxyxyxy 22 223 1612 kk 22 223223 2 71230kk 2 71230 2 71230 2 124732280124732280 2 124732280124732280124732280124732280124732280124732280124732280 4 x x 12 1221amm 2a 1 fx gx x 2 21 1 11 xxmm x xx xg x1kx1 1 m x x 1kx1 1x 2 1 1 mk x x 2 2 21 1 xk xkm x 2 210 xk xkm 2 2 2414kkmkm 0m0 2 1 24 1 2 kkm x 2 2 24 1 2 kkm x 2 1xx 0 x 2 xx 0 x x 2 1 x 2 x x 2 x 0m02km2km 2km 2 1 24 1 2 kkm x 2 2 24 1 2 kkm x x1 0 x x1 x 2km 2 1 24 1 2 kkm x 2 2 24 1 2 kkm x 1 1xx 0 x 12 xx x 0 x 2 xx 0 x 2121 kkmkm24142414 1 kkm2424 2 0 0 0 0 0 0 0 0 x 2 1 x x m 2 2 kkmkkmkkm 2 242424 2 242424 2 0 0 0 0 0 0 2 2 x2 0kmkm2 2kmkmkmkm2 1 2424kkm24 x x1 242424 0 0 x x1 13 x 1 1 x 12 xx 2 x x 2 x 1 x 0mk x 2 x 0m2kmx 2 x 1 x 2 1 24 2 kkm x 2 2 24 2 kkm x 1 fx gx x 2 21 1 11 xxmm x xx xg x1kx1 1 m x x 1kx1 1x 2 1 1 mk x x 2 2 21 1 xk xkm x xg x1kx x 1 x 2 2 21 1 xk xkm x 0 2 21xk xkm0 2 2 24140kkmkm 2 1 24 2 kkm x 2 2 24 2 kkm x h x 2 21xk xkm 12 11xx 10hm 0m k 2 1xx 0 x 2 xx 0 x x 2 1 x 2 x x 2 x kkmkkm2424 1 1111 xxmmxxmm 1x xxxx1111 1 1x x 1111 1 m x 1kxkx 1 2 xk xkmxk xkm 2 212121xk xkmxk xkmxk xkm212121 1kxkxkx 1 xk xkmxk xkm 2 2121xk xkm2121 2 xk xkmxk xkm 2 21xk xkm21 24140 1 1 21 0 0 210 kkmkmkkmkm241402414024140241402414024140241402414024140 1 2424 x1 24 2 xk xkmxk xkm 2 21xk xkmxk xkm2121 1212 1111xxxx 1212121212121212 1111 12 xxxx 1212 1111 121212 11 121212 xxxxxx 14 12 11xx 10 2 1 2 hm k 0 0 m k 2km2km 2km 1 1xx 0 x 12 xx x 0 x 2 xx 0 x x 1 1 x 12 xx 2 x x 2 x 1 x 0mk x 2 x 0m2kmx 2 x 1 x 2 1 24 2 kkm x 2 2 24 2 kkm x 1mg x 1 1 1 x x 11 11 n n nn n g xg xxx xx 11221 21 11111 nnnnnn nnnnnn xC xxCxCx xxxxx 1412nn n CCx T 122412nnnn nnn C xC xCx T 122412nnnnn nnn CxCxC x 122412nnnn nnn C xC xCx x0 2T 122244122nnnnnnn nnn CxxCxxCxx 122244122 222 nnnnnnn nnn CxxCxxCxx 2 2 xx2 2xxxx 2 x2 x x x 2 2 kkmkkm 2 2424 2 24 2 x g xg x 11 n g xg xxx11111111g xg xxxg xg xxxg xg xxx1111g xg xxx11 x 1 1 x x 2 2 kkmkkm 2 2424 2 2424 2 1 n n 111111 n n nn 1111 nnnn g xg xxxg xg xxx nnnn 1111 nnnnnn g xg xxxg xg xxxg xg xxxg xg xxx nnnnnn x x g xg xxxg xg xxx 2 22 2 1 n n x x x 4 122412122412122412 nnnnnn C xC xCxC xC xCx 122412122412122412 C xC xCxC xC xCxC xC xCx 122412122412122412 T T 122412122412nnnnnnnnnn122412122412 nnnnnn CxCxC xCxCxC x nnnnnnnnnn122412122412nnnnnnnn