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C21
CMLIKaJIOBa E. B.
C21 TpeHHpOBKa naMHTH H BHHMaHHH Ha ypOKaX MaTeMa-
THKH. Yqe6HO-MeTOHl:IeCKOe noc06He JIH 5-6 KJIaC-
COB. CII6: CMMO IIpecc, 2015. - 40 c.
B KHHre rrpe,n;CTaBJIeHa CHCTeMa TpeHHpOBOqHhIX yrrpamHeHHH
Ha pa3BHTHe rraMSlTH H BHHMaHHSI Ha ypOKax MaTeMaTHKH B 5-6
KJIaCcax. PaccMaTpHBalOTcSI rrpHeMhI 3arrOMHHaHHSI qHCeJI, reOMeT-
pHqeCKHX $Hryp H CJIOB.
,l];JISI TpeHHpOBKH rraMSlTH H BHHMaHHSI CrrOJIh3YIOTCSI MaTeMaTH-
qeCKHe TepMHHhI, Ta6JIHD;hI YMHomeHHSI, Ta6JIHD;hI KBa,z:r;paTOB H KY-
60B, Ta6JIHD;a rrpOCThIX qHCeJI.
KHHra 6y,n;eT HHTepeCHa H rrOJIe3Ha o6a.IOm;HMCSI 5-6 KJIaCCOB H
HX po,n;HTeJISlM. KHHra rrpe,n;Ha3HaqeHa TaKme ,n;JISI ytlHTeJIeH MaTeMa-
THKH 5-6 KJIaCCOB.
ISBN 5-7704-0306-0
@ CMbIK8.JIOBa E. B., 2015 r.
@ 3ai:u;eB A. A., ocpopMJIeHHe 06JIOmKH, 2015 r.
@ CMMO IIpecc, 2015 r.
,l];HpeKTop H3,l1;aTeJIbCTBa Mopo308a H. C.
M3,l1;aTeJIbCTBO «CMMO IIpecc)
CaHKT-IIeTep6ypr, YJI. Ce,ll;OBa, ,lI;. 97, K. 3, JIHT. A
TeJI. (812) 976-94-76, TeJI. (911) 290-90-26, (962) 722-46-55
E-mail: smiopress@mail.ru, http://www.smio.ru
IIo,ll;nHcaHo B neqaTb 16 MapTa 2015 r. (f)0pMaT 60x90 1/16.
IIeqaTb ocpceTHaH. rapHHTypa mKOJIbHaH. THpam 1000 aK3.
Yq.-H3,l1;. JI. 15, 6. BYMara ocpceTHaH. 3aKa3 M1504004.
OTneqaTaHO no TeXHOJIOrHH CtP B THnorpacpHH L-print
197183, r. CaHKT-IIeTep6ypr, YJI. Ca6HpoBcKaH, ,lI;. 37.

nPEAHCAOBHE
B KHHre npe,n;CTaBJIeHa CHCTeMa TpeHHpOBOl:lHbIX ynpaHe-
HHH Ha paaBHTHe naMHTH H BHHMaHHH Ha ypOKaX MaTeMaTHKH
B 5-6 KJIaCcax. PaccMaTpHBaroTcH npHeMbI aarrOMHHaHHH l:IH-
ceJI, reOMeTpHl:IeCKHX cpHryp H CJIOB. ,n:JIH TpeHHpOBKH naMHTH
H BHHMaHHH HCnOJIbayIDTCH MaTeMaTHl:IeCKHe TepMHHbI, Ta6-
JIHn;bI YMHomeHHH, Ta6JIHn;bI KBMpaTOB H Ky60B, Ta6JIHn;a
npOCTbIX l:IHCeJI.
KHHra 6y,n;eT HHTepeCHa H nOJIeaHa 06yqarom;HMcH 5-6 KJIaC-
COB H HX pO,n;HTeJIHM. 3aHHMaTbCH paaBHTHeM naMHTH H BHH-
MaHHH Ha MaTeMaTHl:IeCKOM MaTepHaJIe MOmHO ,n;OMa, eme,n;HeB-
HO B Tel:leHHe HeCKOJIbKHX MHHYT BbInOJIHHH TpeHHpOBOl:lHbIe
ynpamHeHHH.
KHHra npe,n;HaaHal:leHa TaKme ,n;JIH yqHTeJIeH MaTeMaTHKH
5-6 KJIaCCOB. CHcTeMa ynpamHeHHH nOMomeT yqHTeJIIO B opra-
HHaa:u;HH cHCTeMaTHtleCKOH pa60TbI HM paaBHTHeM naMHTH H
BHHMaHHH. TpeHHpOBOl:lHbIe ynp8JKHeHHH JIyqme Bcero npe,n;JIa-
raTb yqeHHKaM B Hal:laJIe K8JK,n;oro ypOKa B Tel:leHHe 3-4 MHHYT.
CHcTeMa TpeHHpOBOl:lHbIX ynpamHeHHH Ha paaBHTHe naMH-
TH H BHHMaHHH anp06HpOBaHa Ha ypOKax MaTeMaTHKH B CPH-
aHKO-MaTeMaTHl:IeCKOM JIHn;ee N2 366 CaHKT-IIeTep6ypra
http://www.fmI366.org/ H Ha «MaTeMaTHl:IeCKHX KaHHKY-
JIax» http://mathcan.ru/Hhttp:/ /metaschool.ru/.
JKeJIaeM ycnexoB B HayqeHHH MaTeMaTHKH!!!
3

rna6a 1
ynpA>KHEHHR C '1HCAAMH
1. B Ta6JIHe ,l];eBHTb qHCeJI H3 ,l];eCHTH: 0, 1, 2, 3, 4, 5,
6, 7, 8, 9. Onpe,l];eJIHTe, KaKoe qHCJIO nponyrn;eHO?
5 2 9
0 8 3
6 1 4
2. B Ta6JIHe ,l];eBHTb qHCeJI H3 nHTH: 1, 2, 3, 4, 5. He-
KOTopbIe qHCJIa nOBTopHIOTCH ,l];Bam,l];bI. KaKoe qHCJIO He
nOBTopHeTCH?
1 3 5
2 5 2
4 3 1
.3. B Ta6JIHe ,l];BeHMaTb qHCeJI H3 ,l];eBHTH: 1, 2, 3, 4,
5, 6, 7, 8, 9. KaKHe qHCJIa nOBTopHIOTCH ,l];Bam,l];bI?
2 4 3 9
7 1 6 2
5 9 8 4
4. B Ta6JIHe ,l];BeHMaTb qHCeJI H3 nHTHa,l];aTH: 1, 2,
3, 4, 5, ..., 15. KaKHe qHCJIa nponyrn;eHbI?
8 2 10 5
13 7 15 3
4 9 1 11
..

Ynpa>KHeHMH C i1MCl\aMM
5. B Ta6JIH:u;e meCTHa,n;:u;aTb l:IHCeJI Ha BoceMHa,n;:u;aTH: 1, 1, 2,
2,3,3,4,4,5,5,6,6, 7, 7,8,8, 9,9. KaKHel:lHCJIaHenOBTopH-
IOTCH ,n;Bam,n;bI?
3 6 1 4
7 5 9 2
4 2 7 8
1 3 6 9
6. B Ta6JIH:u;e meCTHa,n;:u;aTb l:IHCeJI Ha ,n;Ba,n;:u;aTH: 1, 2, 3, 4,
5 20 K ?
, ..., . aKHe l:IHCJIa nponym;eHbI.
20 16 5 8
10 3 12 1
17 7 19 15
2 14 9 4
7. B Ta6JIH:u;e ,n;Ba,n;:u;aTb nHTb l:IHCeJI Ha ,n;Ba,n;:u;aTH: 1, 2, 3, 4,
5 20 K ?
, ..., . aKHe l:IHCJIa nOBTopHIOTCH ,n;Bam,n;bI.
13 7 10 20 12
4 17 5 16 9
16 1 13 18 3
6 15 2 14 11
9 12 19 8 1
8. B Ta6JIH:u;e ,n;Ba,n;:u;aTb nHTb l:IHCeJI Ha TpH,n;:u;aTH: 1, 2, 3, 4,
5 30 K ?
, ..., . aKHe l:IHCJIa nponym;eHbI.
29 8 16 3 13
14 20 9 19 24
1 12 7 30 5
27 4 21 15 6
10 18 2 23 25
5

rl\aBa 1
9. HaaOBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 2: 2, 4, ..., 100.
Y6bIBalOm;aH Ha 2: 100, 98, ..., 2.
10. HaaoBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 3: 3, 6, ..., 99.
Y6bIBalOm;aH Ha 3: 99, 96, ..., 3.
11. HaaoBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 4: 4, 8, ..., 100.
Y6bIBalOm;aH Ha 4: 100, 96, ..., 4.
12. HaaoBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 5: 5, 10, ..., 100.
Y6bIBalOm;aH Ha 5: 100, 95, ..., 5.
13. HaaOBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 6: 6, 12, ..., 96.
Y6bIBalOm;aH Ha 6: 96, 90, ..., 6.
14. HaaOBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 7: 7, 14, ..., 98.
Y6bIBalOm;aH Ha 7: 98, 91, ..., 7.
15. HaaOBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 8: 8, 16, ..., 96.
Y6bIBalOm;aH Ha 8: 96, 88, ..., 8.
16. HaaOBHTe B 6bICTpOM TeMne l:IHCJIa nOCJIe,n;OBaTeJIbHOCTH:
BoapacTalOm;aH Ha 9: 9, 18, ..., 99.
Y6bIBalOm;aH Ha 9: 99, 90, ..., 9.
17. HaaoBHTe B nopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
co,n;epmam;He n;HCPPY 2.
18. HaaOBHTe B nopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
co,n;epmam;He n;HCPPY 9.
19. HaaOBHTe B nopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
co,n;epmam;He n;HCPPY 4 HJIH 6.
20. HaaoBHTe B nopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
co,n;epmam;He n;HCPPY 5 HJIH 8.
6

Ynpa>KHeHMH C i1MCl\aMM
21. HaaOBHTe B IIopH,n;Ke BoapaCTaHHH "tIHCJIa OT 1 ,n;o 100,
CYMMa n;Hcpp KOTOpbIX paBHa 7.
22. HaaOBHTe B IIopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
CYMMa n;Hcpp KOTOpbIX paBHa 3 HJIH 6.
23. HaaOBHTe B IIopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
CYMMa n;Hcpp KOTOpbIX ,n;eJIHTCH Ha 4.
24. HaaOBHTe B IIopH,n;Ke BoapaCTaHHH l:IHCJIa OT 1 ,n;o 100,
CYMMa n;Hcpp KOTOpbIX ,n;eJIHTCH Ha 2 HJIH Ha 3.
25. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 2 H Ha 3: 2-3, 4-6, ..., 66-99.
6) Y6bIBalOm;aH Ha 2 H Ha 3: 66-99, 64-96, ..., 2-3.
26. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 3 H Ha 2: 3-2, 6-4,..., 99-66.
6) Y6bIBalOm;aH Ha 3 H Ha 2: 99-66, 96-64, ..., 3-2.
27. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 3 H Ha 4: 3-4, 6-8, ..., 75-100.
6) Y6bIBalOm;aH Ha 3 H Ha 4: 75-100, 72-96, ..., 3-4.
28. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 4 H Ha 3: 4-3, 8-6, ..., 100-75.
6) Y6bIBalOm;aH Ha 4 H Ha 3: 100-75, 96-72, ..., 4-3.
29. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 3 H Ha 5: 3-5, 6-10, ..., 60-100.
6) Y6bIBalOm;aH Ha 3 H Ha 5: 60-100, 57-95, ..., 3-5.
30. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 5 H Ha 3: 5-3, 10-6, ..., 100-60.
6) Y6bIBalOm;aH Ha 5 H Ha 3: 100-60, 95-57, ..., 5-3.
31. HaaOBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;aH Ha 4 H Ha 6: 4-6, 8-12, ..., 64-96.
6) Y6bIBalOm;aH Ha 4 H Ha 6: 64-96, 60-90, ..., 4-6.
32. HaaoBHTe IIOIIapHO l:IHCJIa ,n;BYX IIOCJIe,n;oBaTeJIbHOcTeH:
a) BoapacTalOm;an Ha 8 H Ha 3: 8-3, 16-6, ..., 96-36.
6) Y6bIBalOm;aH Ha 8 H Ha 3: 96-36, 88-33, ..., 8-3.
7

rl\aBa 1
33. HaaOBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 2 H y6bIBalOm;aH Ha 2: 2-100, 4-98, ...,
100-2.
34. HaaOBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 2 H y6bIBalOm;aH Ha 3: 2-99,4-96, ...,
66-3.
35. HaaoBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 5 H y6bIBalOm;aH Ha 4: 5-80,10-76, ...,
100-4.
36. HaaOBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 7 H y6bIBalOm;aH Ha 6: 7-84, 14-78, ...,
98-6.
37. HaaOBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;OBa TeJIbHOCTeH:
Y6bIBalOm;aH Ha 2 H BoapaCTalOm;aH Ha 5: 40-5,38-10, ...,
2-100.
38. HaaOBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
Y6bIBalOm;aH Ha 3 H BoapaCTalOm;aH Ha 7: 42-7,39-14, ...,
3-98.
39. HaaOBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
Y6bIBalOm;aH Ha 6 H BoapaCTalOm;aH Ha 8: 72-8, 66-16, ...,
6-96.
40. HaaoBHTe nonapHO l:IHCJIa ,n;BYX nOCJIe,n;oBaTeJIbHOcTeH:
Y6bIBalOm;aH Ha 9 H BoapaCTalOm;aH Ha 4: 90-4, 81-8, ...,
9-40.
41. HaaoBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 2, Ha 3 H Ha 4: 2-3-4, 4-6-8, ...,
48-72-96.
42. HaaoBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 2, Ha 3 H Ha 5: 2-3-5, 4-6-10, ...,
40-60-100.
43. HaaoBHTe TPOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 8, Ha 6 H Ha 4: 8-6-4, -16-12-8, ...,
96-72-48.
8

Ynpa>KHeHMR C lIMCJ\aMH
44. HaaoBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
BoapacTalOm;aH Ha 9, Ha 5 H Ha 3: 9-5-3, 18-10-6, ...,
99-55-33.
45. HaaoBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
Y6bIBalOm;aH Ha 2, Ha 4 H Ha 3: 100-100-99,98-96-96,
..., 52-4-27.
46. HaaoBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
Y6hIBalOm;aH Ha 5, Ha 3 H Ha 2: 100-99-100, 95-96-98 ...,
5-42-62.
47. HaaOBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
Y6bIBalOm;aH Ha 7, Ha 5 H Ha 4: 98-100-100, 91-95-96,
..., 7-35-48.
48. HaaOBHTe TpOHKH l:IHCeJI Tpex nOCJIe,n;oBaTeJIbHOcTeH:
Y6bIBalOm;aH Ha 9, Ha 8 H Ha 6: 99-96-96, 90-88-90, ...,
9-16-36.
49. HaabIBaH l:IHCJIa BoapacTalOm;eH nOCJIe,n;OBaTeJIbHOCTH
l:IHCeJI: 3, 6, 9, 12, ... BbInHCbIBaHTe ,n;pyrylO BoapacTalOm;ylO
nOCJIe,n;OBaTeJIbHOCTb: 6, 12, 18, 24, ....
50. HaabIBaH l:IHCJIa y6bIBalOm;eH nOCJIe,n;OBaTeJIbHOCTH l:IH-
ceJI: 100, 96, 92, 88, ... BbInHCbIBaHTe ,n;pyrylO y6bIBalOm;ylO
nOCJIe,n;OBaTeJIbHOCTb: 100, 98, 96, 94, ....
51. HaabIBaH l:IHCJIa BoapacTalOm;eH nOCJIe,n;OBaTeJIbHOCTH:
5, 10, 15, 20, ... BbInHcbIBaHTe npH 3TOM l:IHCJIa y6bIBalOm;eH
nOCJIe,n;OBaTeJIbHOCTH: 100, 95, 90, 85, ....
52. HaabIBaH l:IHCJIa y6bIBalOm;eH nOCJIe,n;OBaTeJIbHOCTH: 98,
91, 84, 77, ... BbInHcbIBaHTe npH 3TOM l:IHCJIa BoapacTalOm;eH
nOCJIe,n;OBaTeJIbHOCTH: 7, 14, 21, 28, ....
53. PaccMaTpHBaH l:IHCJIa BoapacTalOm;eH Ha 4 nOCJIe,n;OBa-
TeJIbHOCTH 4,8, 12, 16, 20, 24, ..., HaabIBaTb TOJIbKO CYMMY
n;HCPP Kam,n;oro l:IHCJIa: 4, 8, 3, 7, 2, 6, ... .
4; 8; 1+2=3; 1+6=7; 2+0=2; 2+4=6; ... .
9

rl\aBa 1
54. PaccMaTpHBaH l:IHCJIa y6bIBalOm;eH Ha 5 nOCJIe,n;OBa-
TeJIbHOCTH 100, 95, 90, 85, 80,75, ..., HaabIBaTb TOJIbKO CYM-
MY :U;HCPP Kam,n;OrO l:IHCJIa: 1, 14, 9, 13, 8, 12, ... .
1 +0+0=1; 9+5=14; 9+0=9; 8+5=13; 8+0=8; 7+5=12; ... .
55. PaccMaTpHBaH l:IHCJIa BoapacTalOm;eH nOrrepeMeHHO TO
Ha 2, TO Ha 5 nOCJIe,n;OBaTeJIbHOCTH 2, 7, 9, 14, 16, 21, ..., Ha-
abIBaTb TOJIbKO CYMMY :U;HCPP Kam,n;oro l:IHCJIa: 2, 7, 9, 5, 7, 3, ... .
2; 7; 9; 1+4=5; 1+6=7; 2+1=3; ... .
56. PaccMaTpHBaH l:IHCJIa y6bIBalOm;eH nOnepeMeHHO TO Ha
4, TOHa3nocJIe,n;oBaTeJIbHOCTH 100,96,93,89,86,82, ..., Ha-
abIBaTb TOJIbKO CYMMY :U;HCPP Kam,n;oro l:IHCJIa: 1, 15, 12, 17,
14, 10, ... .
1 +0+0=1; 9+6=15; 9+3=12; 8+9=17; 8+6=14; 8+2=10; ... .
57. HaabIBaH l:IHCJIa OT 1 ,n;o 100, no,n;HHMaHTe JIeBYIO PYKY,
eCJIH l:IHCJIO ,n;eJIHTCH Ha 3.
58. HaabIBaH l:IHCJIa OT 1 ,n;o 100, no,n;HHMaHTe npaBYIO PY-
KY, eCJIH l:IHCJIO ,n;eJIHTCH Ha 4.
59. HaabIBaH l:IHCJIa OT 1 ,n;o 100, no,n;HHMaHTe JIeBYIO PYKY,
eCJIH l:IHCJIO ,n;eJIHTCH Ha 3, no,n;HHMaHTe npaBYIO PYKY, eCJIH
l:IHCJIO ,n;eJIHTCH Ha 4. ECJIH l:IHCJIO ,n;eJIHTCH H Ha 3, H Ha 4, Hap;O
no,n;HHTb o6e PYKH.
60. HaabIBaH l:IHCJIa OT 1 ,n;o 100, no,n;HHMaHTe JIeBYIO PYKY,
eCJIH l:IHCJIO ,n;eJIHTCH Ha 5, no,n;HHMaHTe npaBYIO PYKY, eCJIH
l:IHCJIO ,n;eJIHTCH Ha 6. ECJIH l:IHCJIO ,n;eJIHTCH H Ha 5, H Ha 6, Ha,n;o
no,n;HHTb o6e PYKH. A eCJIH l:IHCJIO OKaHl:IHBaeTCH :U;HcppOH 7,
Ha,n;o TonHYTb HorOH.
61. B Ta6JIH:u;e ,n;Bap;:u;aTb nHTb l:IHCeJI Ha TpH,n;:u;aTH: 1, 2, 3,
4, 5, ..., 30. HeKoTopbIe l:IHCJIa nponym;eHbI.
a) CKOJIbKO B Ta6JIH:u;e l:IeTHbIX l:IHCeJI?
6) CKOJIbKO B Ta6JIH:u;e Hel:leTHbIX l:IHCeJI?
10

Ynpa>KHeHMR C '4MCl\aMM
2 18 29 9 17
12 6 21 14 3
23 28 1 30 20
5 16 19 25 7
26 10 22 4 13
62. B Ta6JIHIe ,n;Ba,n;n;aTb rrHTb 'tIHCeJI Ha TpH,n;n;aTH: 1, 2, 3,
4, 5, ..., 30. HeKoTopbIe 'tIHCJIa rrporrym;eHbI.
a) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, ,n;eJIHm;HXCH Ha 3?
6) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, ,n;eJIHIIJ;HXCH Ha 4?
22 11 6 25 4
14 2 30 17 29
5 24 20 1 13
19 7 15 27 8
10 26 3 23 18
63. B Ta6JIHn;e ,n;Ba,n;n;aTb rrHTb 'tIHCeJI Ha TpH,n;n;aTH: 1, 2, 3,
4, 5, ..., 30. HeKoTopbIe 'tIHCJIa rrporrym;eHbI.
a) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CyMMa n;Hcpp KOTOpbIX paBHa 3?
6 CKOJIbKO B Ta6JIHn;e 'tIHCeJI, C MMa n;H aBHa 4?
13 25 5 17 8
23 1 21 27 3
7 14 10 24 19
29 20 2 30 12
4 26 15 6 22
64. B Ta6JIHn;e TpH,n;n;aTb meCTb 'tIHCeJI Ha copOKa: 1, 2, 3, 4,
5, ..., 40. HeKoTopbIe 'tIHCJIa rrporrym;eHbI.
a) KaKHe 'tIHCJIa rrporrym;eHbI?
11

rl\aBa 1
6) CKOJIbKO paa B aarrHCH 'tIHCeJI BCTpe'tlaeTCH n;Hcppa 2?
B) CKOJIbKO B Ta6JIHn;e 'tIeTHbIX 'tIHCeJI?
15 7 31 2 14 27
35 24 10 34 22 4
29 1 36 12 32 17
8 20 40 25 3 37
18 33 6 11 39 9
5 13 30 23 16 28
65. B Ta6JIHn;e TpH,n;n;aTb meCTb 'tIHCeJI Ha copOKa: 1, 2, 3, 4,
5, ..., 40. HeKoTopbIe 'tIHCJIa rrporrym;eHbI.
a) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, ,n;eJIHm;HXCH Ha 3?
6) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, ,n;eJIHm;HXCH Ha 4?
B) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, ,n;eJIHm;HXCH Ha 5?
r) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, ,n;eJIHm;HXCH Ha 6?
9 17 28 11 4 37
'22 6 36 33 25 8
14 30 19 1 40 21
3 26 10 38 7 34
20 39 35 23 29 2
27 16 5 31 13 18
66. B Ta6JIHn;e TpH,n;n;aTb meCTb 'tIHCeJI Ha copOKa: 1, 2, 3, 4,
5, ..., 40. HeKoTopbIe 'tIHCJIa rrporrym;eHbI.
a) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CyMMa n;Hcpp KOTOpbIX paBHa 3?
6) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CYMMa n;Hcpp KOTOpbIX paBHa 4 ?
B) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CyMMa n;Hcpp KOTOpbIX paBHa 5?
r) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CYMMa n;Hcpp KOTOpbIX paBHa 6?
12

Ynpa>KHeHMR C '4MCl\aMM
17 33 4 12 20 36
7 24 9 15 34 2
29 1 22 28 11 25
10 13 37 16 40 30
27 21 6 3 32 14
5 39 31 35 18 23
67. B Ta6JIHD;e COpOK eBHTb "tIHCeJI Ha nHTHeCHTH: 1,2,3,
4, 5, ..., 50. OHO "tIHCJIO nponym;eHO.
a) KaKoe "tIHCJIO nponym;eHo?
6) CKOJIbKO paa B aanHCH "tIHCeJI BCTpe"tlaeTCH n;Hcppa 3?
B) CKOJIbKO B Ta6JIHn;e "tIeTHbIX "tIHCeJI?
r) CKOJIbKO B Ta6JIHn;e He"tleTHbIX "tIHCeJI?
18 11 44 26 14 31 5
42 24 30 2 41 37 21
6 32 47 8 28 19 35
20 49 16 39 3 46 13
36 1 29 50 34 43 9
10 45 22 12 48 7 38
33 15 4 27 17 40 25
68. B Ta6JIHn;e COpOK eBHTb "tIHCeJI Ha nHTHeCHTH: 1, 2, 3,
4, 5, ..., 50. OHO 'tIHCJIO nponym;eHO.
a) CKOJIbKO B Ta6JIHn;e "tIHCeJI, eJIHm;HXCH Ha 6?
6) CKOJIbKO B Ta6JIHn;e "tIHCeJI, eJIHm;HXCH Ha 7?
B) CKOJIbKO B Ta6JIHn;e "tIHCeJI, eJIHm;HXCH Ha 8?
r) CKOJIbKO B Ta6JIHn;e "tIHCeJI, eJIHm;HXCH Ha 9?
13

rl\aBa 1
19 16 33 20 13 6 25
4 28 40 7 49 31 42
43 37 11 35 2 48 15
22 45 26 30 23 46 9
14 47 50 1 44 17 38
32 41 36 12 39 27 3
8 10 21 29 5 34 18
69. B Ta6JIHn;e COpOK ,n;eBHTb 'tIHCeJI Ha nHTH,n;eCHTH: 1, 2, 3,
4, 5, ..., 50. O,n;HO 'tIHCJIO nponym;eHO.
a) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CYMMa n;Hcpp KOTOpbIX paBHa 6?
6) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CYMMa n;Hcpp KOTOpbIX paBHa 7?
B) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CYMMa n;Hcpp KOTOpbIX paBHa 8?
r) CKOJIbKO B Ta6JIHn;e 'tIHCeJI, CYMMa n;HcPp KOTOpbIX paBHa 9?
9 18 22 27 7 20 14
38 32 5 16 36 1 39
3 25 13 43 29 47 33
45 6 40 48 12 31 24
21 49 11 26 50 17 41
42 34 30 4 37 44 2
15 28 19 46 8 23 10

rna6a 2
ynpA>KHEHHR C &YKBAMH
1. BbIHTb HaH3YCTb JIaTHHCKHH aJIcpaBHT:
1 Aa a
2 Bb 63
3 Cc n;3
4 Dd ,n;3
5 Ee e
6 Ff 3cp
7 Gg r3/m3
8 Hh xa/ am
9 I i H
10 Jj HOT/mH
11 Kk Ka
12 LI 3JIb
13 Mm 3M
14 Nn 3H
15 00 0
16 Pp n3
17 Qq KY
18 Rr 3P
19 SS 3C
20 Tt T3
21 Uu y
22 VV B3
23 Ww ,n;y6JIb- B3
24 XX HKC
25 Yy HrpeK
26 Zz ae,n;
2. IIpooJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
JIaTHHCKoro aJIcpaBHTa:
a) AI, B2, C3, D4, E5, ..., Z26;
6) lA, 2B, 3C, 4D, 5E, ..., 26Z.
15

rl\aBa 2
3. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
JIaTHHCKoro aJIcpaBHTa:
a) Z26, Y25, X24, W23, V22, ..., AI;
6) 26Z, 25Y, 24X, 23W, 22V, ..., lA.
4. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
JIaTHHCKoro aJIcpaBHTa:
a) AI, C3, E5, G7, ..., Y25;
6) 2B, 4D, 6F, 8H, ..., 26Z.
5. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
JIaTHHCKoro aJIcpaBHTa:
a) AI, Z26, B2, Y25, C3, X24, ...;
6) lA, 26Z, 2B, 25Y, 3C, 24X, ... .
6. B Ta6JIHn;e ,n;Ba,n;n;aTb nHTb 6YKB Ha ,n;Ba,n;n;aTH meCTH: A,
B, C, D, E, ..., Z.
K
6
?
aKaH IVKBa nponyw;eHa.
L R I B G
U A N X E
H W S 0 Z
Y K F V M
D T P Q C
7. B Ta6JIHn;e ,n;Bap;n;aTb nHTb 6YKB: A, B, C.
COCl:IHTaHTe Bce 6YKBbI no CTpOl:lKaM CJIe,n;YIOIIJ;HM 06paaoM:
A-I; C-l; A-2; B-1; C-2; B-2; A-3; ...
A C A B C
B A B C A
A C B A B
C B A C A
B A C B C
16

Ynpa>KHeHMR c 6YKOaMM
8. BbIHTb HaH3YCTb PYCCKHH 8JIcpaBHT:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
Aa
B6
BB
fr
,n:,n;
Ee
Ee
mm
33
MH
u
MH
KK
JIJI
MM
HH
00
IIn
Pp
Cc
TT
Yy
ct>cp
XX
QIJ;
qq
illm
m;
1>1>
bIbI
bb
33
1010
HH
a
63
B3
r3
,n;3
e
e
m3
33
H
H KpaTKoe
Ka
3JIb
3M
3H
o
n3
3P
3C
T3
Y
3cp
xa
IJ;3
qe
ma
m;a
TBep,n;bIH 3HaK
bI
MHrKHH 3HaK
3
10
H
17

rl\aBa 2
9. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
PYCCKoro aJIcpaBHTa:
a) AI, B2, B3, r4, ,l];5, ..., H33;
6) lA, 2B, 3B, 4r, 5,l];, ..., 33H.
10. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
PYCCKoro aJIcpaBHTa:
a) H33, 1032, 331, b30, bI29, ..., AI;
6) 33H, 3210, 313, 30b, 29bI, ..., lA.
11. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
pYCCKoro aJIcpaBHTa:
a) AI, B3, ,l];5, E7, ..., H33;
6) 2B, 4r, 6E, 8m, ..., 3210.
12. IIpo,n;oJImHTb pH,n;, COCTaBJIeHHbIH Ha nap l:IHCeJI H 6YKB
pYCCKoro aJIcpaBHTa:
a) AI, H33, B2, 1032, B3, 331, ...;
6) lA, 33H, 2B, 3210, 3B, 313, ... .
13. CJIOBO ,l];POBb aanHCbIBaeTCH l:IHCJIaMH TaK:
5-18-16-2-30. BMecTo 6YKB aanHCbIBaeTCH nopH,n;KoBbIH
HOMep 6YKBbI B PYCCKOM aJIcpaBHTe.
. He aarJIH,n;bIBaH B aJIcpaBHT, HaaOBHTe, KaK aanHCbIBalOTCH
l:IHCJIaMH CJIe,n;YIOm;He CJIOBa:
a) METP, KMJIOMETP, IIPHMAH, JIyq;
6) OTPE30K, YfOJI, qMCJIO, QMct>PA.
14. BMecTo 6YKB aanHCbIBaeTCH nopH,n;KoBbIH HOMep 6YKBbI
B PYCCKOM aJIcpaBHTe.
14-1-19-26-20-1-2
aamHcppoBaHo CJIOBO MACmTAB.
He aar JIH,n;bIBaH B aJIcpaBHT, onpe,n;eJIHTe, KaKHe CJIOBa aa-
mHcppoBaHbl:
a) 16-5-10-15; 20-18-10; 17-21-20-30;
19-12-16-18-16-19-20-30;
6)20-16-25-12-1; 5-3-1; 17-13-32-19;
14-10-15-21-19.
18

Ynpa>KHeHMR c 6YKOaMM
15. 3a 10 MHHYT HanHmHTe KaK MomHO 60JIbme CJIOB, B KO-
TOpbIX 6YKBbI H,n;YT B aJIcpaBHTHoM nopH,n;Ke.
HanpHMep: MOCT, JIyq, ,n:EHb.
16. 3a 10 MHHYT HanHmHTe KaK MomHO 60JIbme CJIOB, B KO-
TOpbIX 6YKBbI H,n;YT B nopH,n;Ke 06paTHoM aJIcpaBHTHoMY.
HanpHMep: mYKA, HMA, mYBA.
17. B Ta6JIHJe TpH,n;IJ;aTb meCTb 6YKB Ha TpH,n;IJ;aTH Tpex: A,
B, B, f, ,n:, ..., H. HeKoTopbIe 6YKBbI nOBTopHIOTCH.
KaKHe 6YKBbI B Ta6JIHIJ;e nOBTopHIOTCH ,n;Bam,n;bI?
M H E X 0 f
3 Y b B H T
1> JI P 10 m m
A q u JI
M H bI
II S K E Q ct>
T ,n: m 3 B C
18. B Ta6JIHIJ;e TpH,n;IJ;aTb meCTb 6YKB: A, B, B, f, ,n:.
COC'tIHTaHTe Bce 6YKBbI no CTpO'tlKaM CJIe,n;yroID;HM 06paaoM:
A-I; B-1; A-2; B-1; B-2; f-l; A-3; ,n:-l, ...
A B A B B f
A ,n: B B ,n: A
f B A ,n: A B
A f B B f A
,n: B A f ,n: B
B A f B ,n: A
19. Y'tIHTeJIb HaabIBaeT CJIOBO, Hap;O rrpOHaHeCTH 3TO CJIOBO
aap;OM Hanepe,n;. 3anHcbIBaTb CJIOBO HeJIbaH.
19

rl\aBa 2
CJIOBO KYB, eCJIH rrpoHaHecTH aap;oM Harrepe, rrOJIy'tJ:HTCH
BYK.
A Ha CJIOBa KBA)];PAT rrOJIHTCH TAP,n;ABK.
HarrpHMep, CJIOBO TOP JIerKO rrpo'tJ:eCTb Ha060poT, rrOJIY-
'tJ:HTCH POT.
ECJIH BoaHHKHYT TPYHOCTH co CJIOmHbIMH CJIOBaMH, CJIe-
,n;yeT paa6HTb CJIOBO Ha 'tJ:aCTH rro 2-3 6YKBbI.
HarrpHMep, CJIOBO BbICOTA MomHO paa6HTb BbIC - OTA
H rrpo'tJ:eCTb ATO - CbIB, a MomHO paa6HTb HHa'tJ:e BbI - CO
- TA, rrpo'tJ:eCTb AT - OC - bIB.
BOT 'tJ:TO rrOJIHTcH:
,l];JIMHA - AHMJI,l];
mMPMHA - AHMPMm
POMB - BMOP
KPYf - fYPK
IIlAP-PAm
P A)];MYC - CYH,l];AP
XOP,n;A - A)];POX
QEHTP - PTHEQ
IIlAillKH - HKmAm
IIIAXMATbI - bITAMXAIII
OMMHO - OHMMO,l];

r na6a 3
3AnOMHHAHHE cDHrYP
1. Y l:IHTeJIb Ha CIIHl:IeK HJIH lIaJIOl:leK COCTaBJIHeT OHY, ,n;Be
HJIH TPH reOMeTpHl:IeCKHe cpHrYPbI. Kor,n;a cpHrYPbI COCTaBJIe-
HbI, Yl:IeHHKH MorYT 1I0CMOTpeTb Ha 3TH cpHrypbI 3-4 ceKYH-
,n;bI, aaTeM cpHrYPbI aaKpbIBalOTCH JIHCTOM 6YMarH, a eHH-
KaM HymHo
3TH cpHrYPbI
COCTaBHTb Ha


(W)
CIIHl:IeK caMO-
CTOHTeJIbHO IIO
naMHTH.
2. Y l:IHTeJIb
aapaHee Ha
mKOJIbHOH
,n;OCKe rOTOBHT
PHCYHOK Ha
HeCKOJIbKHX
reOMeTpHl:Ie-
CKHX cpHryp
21

rJ\aBa 3
(OTpeaKH, KBap;paTbI, npHMoyrOJIbHHKH, TpeyrOJIbHHKH, OK-
pymHocTH). Yl:IeHHKaM 3TH cpHrYPbI nOKaabIBalOTCH TOJIbKO
Ha 3-4 ceKYH,n;bI, aaTeM ,n;OCKa aaKpbIBaeTCH, HymHo Bocnpo-
HaBeCTH cpHrYPbI no naMHTH - HapHCOBaTb B TeTpap;e npOCTbIM
KapaH,n;amOM.
3. Yl:IHTeJIb aapaHee Ha CTOJIe CTpOHT KOM6HHaIJ;HIO Ha He-
CKOJIbKHX nJIOCKHX reOMeTpHl:IeCKHX cpHryp o,n;Horo IJ;BeTa
22

3anOMMHaHMe tPMryp
(KBa,n;paTbI, rrpHMoyrOJIbHHKH, TpeyrOJIbHHKH, KpyrH, POM-
6bI, TparreIJ;HH, rrHTHyrOJIbHHKH, mecTHyrOJIbHHKH). MO,n;eJIH
reOMeTpHl:IeCKHX cpHryp MOmHO C,n;eJIaTb Ha 6eJIoro KapTOHa.
Yl:IeHHKaM 3TH cpHrYPbI rrOKaabIBalOTCH TOJIbKO Ha 3-4 ceKYH-
,n;bI, aaTeM cpHrYPbI aaKpbIBaIOTCH, HymHo BocrrpOHaBeCTH cpH-
rypbI rro rraMHTH - HapHCOBaTb B TeTpa,n;e rrpOCTbIM KapaH,n;a-
mOM.
4. Yl:IHTeJIb aapaHee Ha CTOJIe CTpOHT KOM6HHaIJ;HIO Ha He-
CKOJIbKHX rrJIOCKHX paaHOIJ;BeTHbIX reOMeTpHl:IeCKHX cpHryp
(KBa,n;paTbI, rrpHMoyrOJIbHHKH, TpeyrOJIbHHKH, KpyrH, POM-
6bI, TparreIJ;HH, rrHTHyrOJIbHHKH, mecTHyrOJIbHHKH). Mo,n;eJIH
reOMeTpHl:IeCKHX cpHryp MomHO c,n;eJIaTb Ha paaHOIJ;BeTHOro
KapTOHa. Yl:IeHHKaM 3TH cpHrYPbI rrOKaabIBalOTCH TOJIbKO Ha
3-4 ceKYH,n;bI, aaTeM cpHrYPbI aaKpbIBaIOTCH, HymHo Bocrrpo-
HaBeCTH cpHrYPbI rro rraMHTH - HapHCOBaTb B TeTpa,n;e IJ;BeTHbI-
MH KapaH,n;amaMH.
5. Yl:IHTeJIb BbIKJIap;bIBaeT Ha CTOJI 10 rrJIOCKHX paaHOIJ;BeT-
HbIX reOMeTpHl:IeCKHX cpHryp. YqeHHKH ,n;OJImHbI aarrOMHHTb,
B KaKOM rropH,n;Ke 6bIJIH BbIJIOmeHbI cpHrYPbI H IJ;BeT 3THX cpH-
ryp. B TeTpa,n;H CJIe,n;yeT HapHCOBaTb 3TH cpHrYPbI IJ;BeTHbIMH
KapaH,n;amaMH B aap;aHHOM rropH,n;Ke.
6. Yl:IeHHKaM rrpe,n;JIaraeTCH aarrOMHHTb KOM6HHaIJ;HIO Ha
HeCKOJIbKHX 06FJ>eMHbIX reOMeTpHl:IeCKHX cpHryp (Ky6, map,
KOHYC, rrpHaMa, IJ;HJIHH,n;p, rrHpaMH,n;a). CJIe,n;yeT aarrOMHHTb,
KaKHe cpHrYPbI COCTaBJIHIOT KOM6HHaIJ;HIO, HX BaaHMHoe pac-
rrOJIOmeHHe, paaMep H IJ;BeT 3THX cpHryp.
KOM6HHaIJ;HH rrOKaabIBalOTCH TOJIbKO Ha 3-4 ceKYH,n;bI, aa-
TeM aaKpbIBaeTCH. HymHo BocrrpOHaBeCTH - HapHCOBaTb B
TeTpa,n;e IJ;BeTHbIMH KapaH,n;amaMH HJIH ,n;aTb rro,n;p06Hoe CJIO-
BeCHoe orrHcaHHe KOM6HHaIJ;HH.
7. YqeHHKaM rrpe,n;JIaraeTCH aarrOMHHTb Ta6JIHIJ;y C reOMeT-
pHl:IeCKHMH cpHrypaMH. Ta6JIHIJ;a rrOKaabIBaeTCH Ha HeCKOJIb-
KO ceKYH,n;, aaTeM Yl:leHHKH ,n;OJImHbI HapHCOBaTb Ta6JIHIJ;y B
TeTpa,n;H.
23

rJ\aBa 3
0 \7 D
D D 0
\7 0 6
0 D 0 6
D 6 D D
D D D 0
D 0 6 D
D 6 D
D 0 D
0 6 D
\7 6 D 0
D 0 \7 0
0 D D \7
6 D 0 \7
6 D 0
0 \7 6
0 6 D
\7 0 D 6
D \7 0 D
D 0 0 D
6 D \7 0
8. Yl:IeHHKaM ,n;aeTcH aap;aHHe pHCOBaTb o,n;HOBpeMeHHO
,n;BYMH PYKaMH Te cpHrYPbI, KOTopbIe HaabIBaeT HTeJIb:
a) npaBoH PYKOH nHTb TpeyrOJIbHHKOB, JIeBOH PYKOH nHTb
oKPymHocTeH.
6) npaBoH PYKOH nHTb KBap;paTOB, JIeBOH PYKOH nHTb Tpe-
yrOJIbHHKOB.
9. Yl:IHTeJIb npOHaHOCHT BCJIYX HaaBaHHe reOMeTpHl:IeCKHX
cpHryp. TaKHx cpHryp ,n;OJImHO 6bITb 10. 3aTeM eHHKaM Hap;O
HaaBaTb HJIH HapHCOBaTb 3TH cpHrypbI. ECJIH y,n;aCTCH BcnOM-
HHTe 8 HJIH 60JIbme. TpeHHpOBKa npomJIa ycnemHO.
HanpHMep:
TPEYfOJIbHHK, IIPHMAH, POMB, OKPymHOCTb,
JIyq, TPAIIEQHH, KBA)];PAT, OTPE30K, YfOJI,
IIHTHYfOJIbHHK.
10. Yl:IHTeJIb npOHaHOCHT BCJIYX onHcaHHe KOM6HHaIJ;HH
reOMeTpHl:IeCKHX cpHryp. TaKHx onHcaHHe ,n;OJImHO 6bITb 6-8.
3aTeM eHHKa Ha,n;o HaaBaTb HJIH HapHCOBaTb 3TH cpHrYPbI IIO
naMHTH.
HanpHMep:
,D:BA TPEYfOJIbHHKA H OKPymHOCTb
24

3anOMMHaHMe tPMryp
TP AIIEQHH H KBA)];P AT
OKPymHOCTb H TPH KBA)];PATA
POMB H qETbIPE TPEYfOJIbHHKA
IIHTb TOqEK H IIPHMAH
JIyq H qETbIPE OTPE3KA
OTPE30K H IIPHMOYfOJIbHHK
,l];BE OKPymHOCTH H TPH TP AIIEQHH
11. Yl:IHTeJIb npOHaHOCHT BCJIYX onHcaHHe BaaHMHoro pac-
nOJIOmeHHH reOMeTpHl:IeCKHX cpHryp. TaKHx onHcaHHe ,n;OJIm-
HO 6bITb 6-8. 3aTeM Yl:lam;HMCH Hap;O HaaBaTb HJIH HapHCOBaTb
3TH cpHrYPbI no naMHTH.
HanpHMep:
qETbIPE TOqKH JIEmAT HA JIyqE
JIyq IIEPECEKAET OTPE30K H IIPHMYIO
BHYTPH KBA)];PATA TPH IIPHMOYfOJIbHHKA
IIPHMAH IIPOXO,l];HT qEPE3 QEHTP OKPymHOCTH
,l];BA TPEYfOJIbHHKA HMEIOT O,l];HY OBmylO
TOqKY
BHYTPM OKPymHOCTH qETbIPE TPEYfOJIbHHKA
TP AIIEQHH H OKPymHOCTb HMEIOT O,l];HY
OBmylO TOqKY
12. Yl:Iam;HeCH no Kpyry HaabIBalOT reOMeTpHl:IeCKHe cpHry-
PbI. IIoBTopHTb cpHrYPbI, KOTopbIe yme HaaBaHbI, HeJIbaH.
TOT, KTO He MomeT HaaBaTb cpHrypy B Tel:leHHe 10 ceKYH,n;, BbI-
XO,n;HT Ira HrpbI, Hrpa Hal:lHHaeTCSI aaHOBO. B KOHIJ;e HrpbI OCTa-
.. ..
eTCH ,n;Ba l:IeJIOBeKa, BbIHrpbIBaeT TOT, KTO nOCJIe,n;HHM HaaOBeT
reOMeTpHl:IeCKYIO cpHrypy.
HanpHMep,
TOqKA, OTPE30K, IIPHMAH, JIyq, YfOJI,
IIJIOCKOCTb, TPEYfOJIbHHK, IIPHMOyrOJIbHIIK,
KBNJ:PAT, ...

r na6a 4
3AnOMHHAHHE '1HCEA
Ocn06nb£e npUeMb£ aanOMUnanUJl, 1tucelt
QHcDPO-&YKBEHHbIH KOA
Kam,n;oH IJ;Hcppe rrpHcBaHBaeTcH 6YKBa:
o - H - HY JIb
1 - K - KOJI
2 - JI - JIe6e,n;b
3 - T - TPH
4 - 'II - qeTbIpe
5 - II - IIHTb
6 - m - meCTb
7 - C - ceMb
8 - B - BoceMb
9 - ,n; - ,n;eBHTb
QHcppo-6YKBeHHbIH KO,n; 3aIIOMHHaeTCH ,n;OBOJIbHO 6bICTpO:
IJ;HcppaM 0, 3, 4, 5, 6, 7, 8 H 9 IIpHCBaHBalOTCH rrepBbIe corJIac-
HbIe 6YKBbI HX Ha3BaHHH.
HCKJIlOqeHHe COCTaBJIHIOT TOJIbKO IJ;HcppbI 1 H 2: 1 - K -
KOJI, a 2 - JI - JIe6e,n;b.
HTaK, Kam,n;oH IJ;Hcppe CTaBHTCH B COOTBeTCTBHe o,n;Ha co-
rJIaCHaH 6YKBa, K COqeTaHHIO COrJIaCHbIX 6YKB IIo,n;6HpaeTcH
C03BHoe CJIOBO, IIPH IIo,n;6ope CJIOBa MomHO HCIIOJIb30BaTb
Bce rJIaCHbIe 6YKBbI H Te COrJIaCHbIe, KOTOpbIX HeT B Ta6JIHIJ;e.
HaIIpHMep, eCJIH Hap;O 3aIIOMHHTb qHCJIO 651.
651 - 3TO mIlK, IIo,n;6HpaeTcH IIO,n;XO,n;Hm;ee CJIOBO, Ha-
IIpHMep, maIlKa, 3aIIOMHHaeTCH 3TO CJIOBO H o6pa3 maIIKH.
COBMEIQEHHE QM.P C O&PA3AMH
Y Kam,n;oH IJ;HcppbI eCTb cpopMa, H 3Ta cpopMa MomeT HaIIOM-
HHTb OqepTaHHH KaKHx-HH6y,n;b IIpe,n;MeTOB.
HaIIpHMep:
26

3anOMMHaHMe 4MCeJ\
o - 6y6JIHK;
1 - CTOJI6;
2 - JIe6e,n;b;
3 - IITHIJ;a;
4 - KpeCJIO;
5 - 3Be3,n;Ol:lKa;
6 - H6JIOKO;
7 - Koca;
8 - Ol:lKH;
9 - B03,n;ymHbIH mapHK.
IIpH 3aIIOMHHaHHH KaKorO-TO l:IHCJIa Bce ero IJ;HcppbI ,n;OJIm-
HbI 6bITb coe,n;HHeHbI B KaKYIO-TO HCTOpHIO.
HaIIpHMep, ,n;JIH 3aIIOMHHaHHH l:IHCJIa 469 MomHO IIpe,n;CTa-
BHTb 60JIbmOe KpeCJIO, Ha KpeCJIe JIemHT H6JIOKO, a K H6JIOKY
IIpHBH3aH B03,n;ymHbIH mapHK.
BMecTo a6cTpaKTHbIx IJ;HCPP B IIaMHTH IIOHBJIHIOTCH KapTHH-
KH, KOTopbIe JIerKO H IIpOl:lHO B HeH y,n;epmHBaIOTCH.
CHCTEMA WEA
He60JIbmHe l:IHCJIa MomHO BbIYl:lHTb MeTo,n;OM COCTaBJIeHHH
CIIeIJ;HaJIbHOH cppa3bI, Kam,n;oe CJIOBO B KOTOpOH Haxo,n;HTCH B
CTporo OIIpe,n;eJIeHHOM IIopH,n;Ke H HMeeT l:IHCJIO 6YKB, COOTBeT-
CTBYIOm;ee 3aIIoMHHaeMoH IJ;Hcppe.
HanpHMep, eCJIH Ha,n;o 3aIIOMHHTb l:IHCJIO 473, TO CJIe,n;yeT
IIpH,n;YMaTb cppa3Y, B KOTOpOH IIepBoe CJIOBO 6y,n;eT COCTOHTb H3
4-x 6YKB, BTopoe - H3 7 -H, a TpeTbe CJIOBO - H3 3-x 6YKB.
TaK, l:IHCJIY 473 COOTBeTcTByeT cppa3a TaHH ypOHHJIa
MHl:I» (4, 7 H 3 6YKBbI cooTBeTcTBeHHo). HOJIb B 3TOH CHCTeMe
l:IaCTO COOTBeTcTByeT CJIOBY H3 10 HJIH JII06oro 60JIbmerO KO-
JIHl:IeCTBa 6YKB.
qHCJIO 1t JIerKO 3aIIOMHHTb, eCJIH 3aIIOMHHTb TaKYIO cppa3Y:
«STO H 3HalO H IIOMHIO IIpeKpaCHO,
IlH MHorHe 3HaKH MHe JIHmHH, HaIIpaCHbI».
PacmHCPPoBbIBaeTcH KaK 3,14159265358.
27

rl\aBa 4
3aiJanuJl, na aanOMunanue 1tucelt:
1. BbIHTb H<ppo-6YKBeHHbIH KO,l];:
HCnOJIb3YH n;Hcppo-6YKBeHHbIH KO,n; 3anOMHHTb npOCTbIe
"tIHCJIa ,n;o 199 BKJIIO"tIHTeJIbHO:
2,3,5,7,11,13,17,19,23,29,31,
37,41,43,47,53,59,61,
67,71,73,79,83,89,97,
101, 103, 107, 109, 113, 127, 131,
137, 139, 149, 151, 157, 163, 167,
173,179,181,191,193,197,199.
MomHO no,n;o6paTb CJIOBa caMOCTOHTeJIbHO, HCnOJIb3YH
n;Hcppo-6YKBeHHbIH KO,n;.
CJIOBa MorYT 6bITb, HanpHMep, TaKHe:
11 - KoK
13 - KoT
1 7 - KoCa
19 - Ko,n:
23 - JIoTo
29 - JIe,n:
.31 - yTKa
3anOMHHalOTCH 3TH CJIOBa H 06pa3bI. JIme 3anOMHHaTb
"tIHCJIa He Bce cpa3Y, a no ceMb "tIHCeJI.
2. HCnOJIb3YH npHeM COBMem;eHHH n;Hcpp C o6pa3aMH 3a-
nOMHHTb npOCTbIe "tIHCJIa ,n;o 199 BKJIIO"tIHTeJIbHO:
2,3,5,7,11,13,17,19,23,29,31,
37,41,43,47,53,59,61,
67,71,73,79,83,89,97,
101, 103, 107, 109, 113, 127, 131,
137, 139, 149, 151, 157, 163, 167,
173,179,181,191,193,197,199.
HapHCOBaTb B naMHTH meCTb KapTHHOK, coe,n;HHHH 06pa3bI
l:IHCeJI Kam,n;OH CTpOKH.
28

3anOMMHaHMe 4MCel\
3. HCIIOJIb3YH :U;Hcppo-6YKBeHHbIH KO,n; H IIpHeM COBMem;e-
{HH :U;HCPP C o6pa3aMH BbIHTb Ta6JIH:U;y YMHomeHHH,n;o 20:
11 12 13 14 15
11 x 1 = 11 12x 1 =12 13 x 1 = 13 14xl=14 15xl=15
11 x 2 = 22 12x 2=24 13x2=26 14 x 2 = 28 15 x 2=30
11 x 3 =33 12x 3 =36 13 x 3 =39 14 x 3 =42 15 x 3 =45
l1x4 =44 12x 4 =48 13 x 4 =52 14 x 4 =56 15 x 4 = 60
11 x 5 =55 12x 5 =60 13 x 5 =65 14 x 5 = 70 15 x 5 = 75
11 x 6 = 66 12x 6 =72 13 x 6=78 14 x 6=84 15 x 6 = 90
11 x 7 = 77 12x 7 =84 13x7=91 14 x 7 = 98 15 x 7 =105
11 x 8=88 12x 8=96 13 x 8 = 104 14x8=112 15 x 8=120
11 x 9 = 99 12x 9=108 13x9=117 14x9=126 15x9=135
11 x 10 =110 12x 10=120 13 x 10=130 14 x 10=140 15 x 10 =150
16 17 18 19 20
16x 1 =16 17xl=17 18xl=18 19x 1 =19 20x 1 =20
16x 2 =32 17 x 2=34 18x 2=36 19x 2 =38 20x 2=40
16x 3 =48 17 x 3 =51 18x 3 =54 19x 3 =57 20x 3 =60
16x 4 =64 17 x 4 = 68 18x 4 =72 19x 4 =76 20x 4 =80
16x 5 =80 17 x 5 = 85 18x 5 =90 19x 5 =95 20x 5 =100
16x 6 =96 17 x 6=102 18x 6=108 19x 6 =114 20x 6 =120
16x 7 =112 17 x 7 =119 18x7=126 19x 7 =133 20x 7 =140
16x 8=128 17x8=136 18x 8=144 19x8=152 20x 8 =160
16x 9=144 17 x 9 = 153 18x 9=162 19x 9 =171 20x 9 =180
16x 10=160 17 x 10=170 18x 10=180 19x 10=190 20x 10=200
29

rJ\aBa 4
11 12 13 14 15
llx 10=110 12x 10=120 13 x 10=130 14 x 10=140 15 x 10=150
11 xII =121 12xll=132 13 x 11 =143 14 x 11 =154 15 x 11 =165
11 x 12 =132 12x 12=144 13 x 12 =156 14 x 12 =168 15 x 12 =180
11 x 13 =143 12x 13 =156 13 x 13 =169 14 x 13 =182 15 x 13 =195
11 x 14 =154 12 x 14 =168 13 x 14 =182 14 x 14 =196 15 x 14 =210
11 x 15 =165 12x 15 =180 13 x 15 =195 14 x 15 =210 15 x 15 =225
11 x 16 =176 12 x 16 =192 13 x 16 =208 14 x 16 =224 15 x 16=240
11 x 17 =187 12x 17 =204 13 x 17 =221 14 x 17 =238 15 x 17 =255
11 x 18 =198 12x 18=216 13 x 18=234 14 x 18 =252 15 x 18=270
11 x 19 =209 12x 19=228 13 x 19 =247 14 x 19 =266 15 x 19 =285
11 x 20=220 12x 20=240 13x20=260 14 x 20=280 15 x 20=300
16 17 18 19 20
16x 10=160 17 x 10=170 18x 10=180 19x 10=190 20x 10=200
16x 11 =176 17 xII =187 18x 11 =198 19x 11 =209 20x 11 =220
16 x 12 = 192 17 x 12 =204 18x 12=216 19 x 12 = 228 20x 12 =240
16x 13 =208 17 x 13 =221 18x 13 =234 19x 13 =247 20x 13 =260
16x 14 =224 17 x 14 =238 18x 14 =252 19x 14 =266 20x 14 =280
16x 15 =240 17 x 15 =255 18x 15 =270 19x 15 =285 20x 15 =300
16 x 16 =256 17 x 16 =272 18x 16 =288 19 x 16 =304 20x 16 =320
16x 17 =272 17 x 17 =289 18x 17 =306 19x 17 =323 20x 17 =340
16x 18=288 17 x 18=306 18 x 18 =324 19 x 18 =342 20x 18 =360
16x 19 =304 17 x 19 =323 18 x 19 =342 19x 19=361 20x 19 =380
16x 20 =320 17 x 20 =340 18x 20=360 19 x 20 =380 20x 20=400
30

3anOMMHaHMe ...MCel\
4. HCnOJIb3YH :U;Hcppo-6YKBeHHbIH KO,n;, npHeM COBMem;e-
HHH :U;HCPP C o6pa3aMH H CHCTeMY ille,n; BbIHTb Ta6JIHD;y
KBa,n;paTOB ,n;o 100:
1 2 =1 11 2 =121 21 2 =441 31 2 =961 41 2 =1681
2 2 =4 12 2 =144 22 2 =484 32 2 =1024 42 2 =1764
3 2 =9 13 2 =169 23 2 =529 33 2 =1089 43 2 =1849
4 2 =16 14 2 =256 24 2 =576 34 2 =1156 44 2 =1936
5 2 = 25 15 2 =225 25 2 =625 35 2 =1225 45 2 =2025
6 2 =36 16 2 = 256 26 2 =676 36 2 =1296 46 2 =2116
7 2 =49 17 2 =289 27 2 =729 37 2 =1369 47 2 =2209
8 2 = 64 18 2 =324 28 2 =784 38 2 =1444 48 2 =2304
9 2 = 81 19 2 =361 29 2 = 841 39 2 =1521 49 2 =2401
10 2 =100 20 2 =400 30 2 =900 40 2 =1600 50 2 = 2500
51 2 =2601 61 2 =3721 71 2 =5041 81 2 =6561 91 2 =8281
52 2 =2704 62 2 =3844 72 2 =5184 82 2 =6724 92 2 =8464
53 2 = 2809 63 2 =3969 73 2 =5329 83 2 = 6889 93 2 =8649
54 2 =2916 64 2 =4096 74 2 =5476 84 2 =7056 94 2 =8836
55 2 =3025 65 2 =4225 75 2 =5625 85 2 =7225 95 2 =9025
56 2 =3136 66 2 =4356 76 2 =5776 86 2 =7396 96 2 =9216
57 2 =3249 67 2 =4489 77 2 =5929 87 2 =7569 97 2 =9409
58 2 =3364 68 2 =4624 78 2 =6084 88 2 =7744 98 2 =9604
59 2 =3481 69 2 =4761 79 2 =6241 89 2 = 7921 99 2 = 9801
60 2 =3600 70 2 =4900 80 2 =6400 90 2 =8100 100 2 =10000
31

rJ\aBa 4
5. IIcnoJIb3YH H<ppo-6YKBeHHbIH KO,l];, npHeM COBMe-
rn;eHHH H<PP C o6pa3aMH H CHCTeMY ille,l]; BbIyqHTb Ta6-
JIHy Ky60B ,l];O 100:
r l =1 11 3 =1331 21 3 = 9261 31 3 = 29791 41 3 = 68921
2: 1 =8 It l =1728 22: 1 =10648 32 3 =32768 42: 1 =74088
3 3 =27 13: 1 = 2197 23 3 =12167 33 3 = 35937 43: 1 =79507
4 3 =64 14 3 =2744 24 3 =13824 34 3 =39304 44 3 = 85184
5: 1 =125 15: 1 =3375 25 3 =15625 35 3 =42875 45 3 = 91125
6 3 =216 16 3 =4096 26 3 =17576 36 3 = 46656 46 3 = 97336
7 3 = 343 17 3 =4913 27 3 = 19683 37 3 = 50653 47 3 =103823
8 3 =512 18: 1 =5832 28 3 =21952 38 3 =54872 48: 1 =110592
9 3 = 729 19 3 = 6859 29 3 = 24389 39 3 =59319 49 3 =117649
10 3 =1000 20 3 =8000 30 3 =27000 40 3 = 64000 50: 1 =125000
51 3 =132561 61 3 = 226981 71 3 =357911 81 3 =531441 91: 1 = 753571
52 3 =140608 62: 1 = 238328 72 3 =373248 82 3 =551368 92 3 = 778688
53 3 =148877 63 3 = 250047 73 3 =389017 83 3 =571787 93 3 =804357
54 3 =157464 64 3 =262144 74: 1 = 405224 84 3 = 592704 94: 1 = 830584
55 3 =166375 65: 1 = 274625 75 3 =421875 85 3 =614125 95 3 =857375
56 3 =175616 66 3 = 287496 76 3 =438976 86 3 = 636056 96 3 = 884736
57 3 =185193 67 3 =300763 773 =456533 87 3 = 658503 97 3 =912673
58: 1 =195112 68: 1 =314432 78 3 =474552 88 3 = 681472 98 3 = 941192
59: 1 = 205379 69: 1 = 328509 79 3 =493039 89 3 = 704969 99 3 = 970299
60: 1 =216000 70 3 =343000 80 3 =512000 90: 1 =729000 100: 1 = 1000000
32

rna6a 5
3AnOMHHAHHE CAOB
Ocn06nb£e npUeMb£ aanOMUnanUJl, Clt06
QEnOliKA O&PA30B
IIpHeM HCnOJIb3yeTcH ,n;JIH 3anOMHHaHHH n;enO"tlKH CJIOB.
BepeTcH nepBoe H BTopoe CJIOBO, CBH3bIBalOTCH MbICJIeHHO B
O,n;HH HPKHH o6pa3. 3aTeM 6epeTcH BTopoe H TpeTbe CJIOBO, TO-
me CBH3bIBalOTCH B O,n;HH HPKHH 06pa3. H TaK ,n;aJIee, Kam,n;oe
CJIOBO CBH3bIBaeTCH CO CJIe,n;YIOm;HM CJIOBOM H3 n;enO"tlKH. Bam-
HbI CBH3H Mem,n;y coce,n;HHMH 06pa3aMH. Mem,n;y BceMH 06pa3-
aMH CBH3H MomeT H He 6bITb. qeM Hp"tle 06pa3bI, TeM JIme
OHH 3anOMHHaIOTCH.
HanpHMep, ,n;aIOTCH TaKHe CJIOBa:
KATEP,,l);OPOfA,BEJIOCHITE,l);,CTYJI,TEJIEBH30P,
TAPEJIKA,,l);BEPb,CAXAP,3AHQ,BEPE3A.
MomHO npe,n;CTaBHTb, HanpHMep: KATEP nJIbIBeT B,n;OJIb
,l);OPOfH, no ,l);OPOfE e,n;eT BEJIOCHITE,l);HCT,
BEJIOCHITE,l);HCT Ha 6aramHHKe Be3eT CTY JI, Ha CTY JI no-
CTaBHJIH TEJIEBH30P, Ha TEJIEBH30PE CTOHT TAPEJIKA,
TAPEJIKA ynaJIa, OCKOJIKH nOnaJIH B ,l];BEPb, ,l);BEPb JIHn-
KaH OT CAXAP A, CAXAP JII06HT 3AHQ, n03TOMY 3AHQ TOJI-
CTbIH, eMY HHKaK He aa6paTbCH Ha BEPE3Y.
PACCKA3
STOT npHeM Tome HCnOJIb3yeTcH ,n;JIH 3anOMHHaHHH n;enO"tlKH
CJIOB. K K8JK,n;OMY CJIOBY C03,n;aeTCH 06pa3, Ha OCHOBe Bcex 3TH X
06pa30B COCTaBJIHeTCH O,n;HH paCCKa3. B O,n;HOM paCCKa3e coe,n;H-
HHIOTCH cpa3Y Bce 06pa3bI. qeM Hp"tle 06pa3bI H "tIeM npO"tlHee
CBH3b Mem 06pa38.MH, TeM JIyqme 3anOMHHaeTCH paCCKa3.
HanpHMep, ,n;aIOTCH TaKHe CJIOBa:
YTPO, ITEillEXO,l);, fOPA, qACbI, HBJIOKO, PEMOHT,
JIO,l);KA, CTOJI, illJIHITA, TEATP.
33

rJ\aBa 5
MomHO npe,n;cTaBHTb, HanpHMep: paHHee JIeTHee YTPO,
IIEillEXO,l]; oTnpaBHJICH B fOPY Ha nporYJIKY, B3HJI C C060M
qACbI H HBJIOKO, ,n;HeM nOCJIe nporYJIKH OH YCTpOHJI
PEMOHT JIO,l];KH H CTOJIA, a BeqepOM Ha,n;eJI illJIHIIY H OT-
npaBHJICH B TEATP.
«PHMCKAR KOMHATA..
STOT npHeM 3anOMHHaHHH CJIOB npH,n;YMaH em;e B ,l];peBHeM
PHMe. IIpHeM nOMoraeT 3anOMHHTb cnHCOK CJIOB B onpe,n;eJIeH-
HOM nopH,n;Ke.
CHaqaJIa Ha,n;o COCTaBHTb cnHCOK MeCT.
HanpHMep, BbI6paTb KOMHaTY, KOTopaH xopomo H3BeCTHa.
B 3TOM KOMHaTe Ha,n;O onpe,n;eJIHTb MeCTa, K KOTOpbIM 6y,n;YT
npHBH3bIBaTbCH CJIOBa (mKacp, CTYJI, CTOJI, KOBep H TaK ,n;aJIee).
qTo6bI He C6HTbCH, KOMHaTY Ha,n;O MbICJIeHHO Bcer,n;a 06XO,n;HTb
B O,n;HOM HanpaBJIeHHH, HanpHMep, no qaCOBOH CTpeJIKe.
3aTeM MomHO nepeMTH K cnHCKY CJIOB, KOTOpbIM Ha,n;o 3a-
nOMHHTb. CnHCOK CJIOB CBH3bIBaeTCH MbICJIeHHO co cnHCKOM
MeCT B KOMHaTe.
HanpHMep:
CnHcoK 10 MeCT: illKAcp, CTYJI, CTOJI, KOBEP,
IIO,l];OKOHHHK, 3AHABECKA, KPECJIO, ,l];MBAH,
TYMBOQKA,3EPKAJIO.
CnHcoK 10 CJIOB, KOTopble Ha,n;o 3anOMHHTb: KHHfA,
fPYillA, KOillKA, CbIP, CAMOJIET, P ACQECKA,
IIETYX,KPYmKA,BETEP,P03A.
CBH3bIBalOTcH CJIOBa C MeCTaMH, HanpHMep: KHHf A JIe-
mHT no,n; HomKoM illKAcpA, fPYillY nOJIOmHJIH Ha CTYJI,
KOillKA 3a6paJIaCb Ha CTOJI, KYCOqKH CbIPA ynaJIH Ha KO-
BEP, HrpymeqHbIH CAMOJIET npH3eMJIHJICH Ha IIO,l];OKOH-
HHKE, P ACQECKA 3an;enHJIaCb 3a 3AHABECKY, IIETYX
3aCHYJI Ha KPECJIE, KPymKA nepeBepHYJIaCb Ha ,l];HBAHE,
BETEP pacnaXHYJI ,n;Bepn;bI B TYMBOqKE, Kp-acHaH P03A
OTpamaeTCH B 3EPKAJIE.
34

3anOMMHaHMe CI\OS
3aiJanuJt na aanOMUnanUe Clt06
1. YqHTeJIb Ha3bIBaeT 10 CJIOB, He CBH3aHHbIX ,n;pyr C ,n;py-
rOM. IIocJIe 3Toro eHHKaM ,n;aeTCH 3a,n;aHHe BcnOMHHTb H 3a-
nHcaTb 3TH CJIOBa, HCnOJIb3YH npHeM «QenOqKH 06pa30B».
,n:JIH 3anOMHHaHHH 10 CJIOB ,n;aeTcH 20 ceKYH,n; (no 2 ceKYH,n;bI
Ha O,n;HO CJIOBO).
2. YqHTeJIb Ha3bIBaeT 10 CJIOB, He CBH3aHHbIX ,n;pyr C ,n;py-
rOM. IIocJIe 3Toro eHHKH 3anHCbIBalOT 3TH CJIOBa, HCnOJIb-
3YH npHeM « PaCCKa3». ,n:JIH 3anOMHHaHHH 10 CJIOB ,n;aeTcH 20
ceKYH,n; (no 2 ceKYH,n;bI Ha O,n;HO CJIOBO).
3. YqHTeJIb Ha3bIBaeT 10 CJIOB, He CBH3aHHbIX ,n;pyr C ,n;py-
rOM. IIocJIe 3Toro yqeHHKH 3anHCbIBalOT 3TH CJIOBa, HCnOJIb-
3YH npHeM «PHMCKaH KOMHaTa». BameH nopH,n;OK CJIOB. ,n:JIH
3anOMHHaHHH 10 CJIOB ,n;aeTcH 20 ceKYH,n; (no 2 ceKYH,n;bI Ha o,n;-
HO CJIOBO). Hap;o Ha3BaTb npaBHJIbHO CJIOBO Hero nopH,n;KOBbIH
HOMep.
4. YqHTeJIb Ha3bIBaeT 10 nap CJIOB, B Kam,n;oH nape CJIOBa
CBH3aHbI no CMbICJIY. 3aTeM HTeJIb Ha3bIBaeT nepBoe CJIOBO,
a Hap;O 3anHcaTb BTopoe CJIOBO 3TOM napbI.
HanpHMep, TaKHe CJIOBa:
KHHr A - CTP AHHQA
KOPOBA - MOJIOKO
3YBbI - ETKA
BEqEP - JIAMIIA
CAIIOrH - ,n:Om,n:b
HBJIOKO - KOMIIOT
YPOK - 3BOHOK
CEHO - JIOIIIA)];b
PIOK3AK - IIOXO,n:
PEKA - MOCT
5. YqHTeJIb Ha3bIBaeT 10 nap CJIOB, B Kam,n;oH nape CJIOBa
He CBH3aHbI no CMbICJIY. 3aTeM HTeJIb Ha3bIBaeT nepBoe CJIO-
BO. A Hap;O 3anHcaTb BTopoe CJIOBO 3TOH napbI. 3anoMHHaH
35

r J\asa 5
CJIOBa, CJIe,n;yeT HX MbICJIeHHO CBH3aTb ,n;pyr C ,n;pyroM HpKHM
06pa30M.
HanpHMep, ,n;alOTcH TaKHe napbI CJIOB:
KHHrA - MOJIOKO
KOPOBA - CTP AHHQA
3YBbI - IIOXO,l];
BEqEP - 3BOHOK
CAIIOrH - JIOllA)];b
HBJIOKO - MOCT
YPOK - KOMIIOT
CEHO - ,l];Om,l];b
PIOK3AK - mETKA
PEKA - JIAMIIA
QTo6bI JIIIIe 3anOMHHTb CJIOBa, Hap;O cBH3aTb, c03,n;aBaH
HPKHH 06pa3. STOT o6pa3 Hap;O 3anOMHHTb.
HanpHMep:
KHHr A - MOJIOKO (Ha KHHry npOJIHJIOCb MOJIOKO)
KOPOBA - CTP AHHQA (KOPOBA CmeBaJIa CTP A-
HHQY)
3YBbI - IIOXO,l]; (3a6oJIeJIH 3YBbI B IIOXO,l];E)
BEQEP - 3BOHOK (Kam,n;bIH BEQEP pa3,n;aeTcH TeJIe-
cpOHHbIH 3BOHOK)
CAIIOrH - JIOllA)];b (CAIIOrH o,n;eJIH Ha JIOllA)];b)
HBJIOKO - MOCT (HBJIOKO ynaJIO no,n; MOCT)
YPOK - KOMIIOT (nocJIe YPOKA 6y,n;eM nHTb KOMIIOT)
CEHO - ,l];Om,l];b (CEHO HaMOKJIO OT ,l];Om,l];H)
PIOK3AK - mETKA (B PIOK3AK IIOJIOmHJIH mETKY)
PEKA - JIAMIIA (y PEKH ropeJIa JIAMIIA)
6. Y"tIHTeJIb Ha3bIBaeT 20 CJIOB, He CBH3aHHbIX ,n;pyr C ,n;py-
rOM. TIoCJIe 3Toro Y"tlam;HMCH ,n;aeTCH 3a,n;aHHe BcnOMHHTb H 3a-
nHcaTb 3TH CJIOBa, HCnOJIb3YH npHeM «QenO"tlKa 06pa30B».
,l];JIH 3anOMHHaHHH 20 CJIOB ,n;aeTcH 40 ceKYH,n; (no 2 ceKYH,n;bI
Ha O,n;HO CJIOBO).
36

3anOMMHaHMe CI\OB
7. YqHTeJIb Ha3bIBaeT 20 CJIOB, He CBH3aHHbIX ,n;Pyr C ,n;PY-
rOM. IIocJIe 3Toro am;HMCH ,n;aeTCH 3a,n;aHHe BcnOMHHTb H 3a-
nHcaTb 3TH CJIOBa, HCnOJIb3YH npHeM « PaCCKa3». Bce CJIOBa
MomHO pa36HTb Ha ,n;Ba ,n;eCHTKa, npH,n;YMaTb paCCKa3 CHaqaJIa
K nepBOMY ,n;eCHTKY CJIOB, nOTOM KO BTOPOMY. ,l];JIH 3anOMHHa-
HHH 20 CJIOB ,n;aeTcH 40 ceKYH,n; (no 2 ceKYH,n;bI Ha O,n;HO CJIOBO).
8. YqHTeJIb Ha3bIBaeT 20 CJIOB, He CBH3aHHbIX ,n;Pyr C ,n;PY-
rOM. IIocJIe 3Toro am;HMCH ,n;aeTCH 3a,n;aHHe BcnOMHHTb H 3a-
nHcaTb 3TH CJIOBa, HCnOJIb3YH npHeM PHMCKaH KOMHaTa».
BameH nopH,n;OK CJIOB. ,l];JIH 3anOMHHaHHH 20 CJIOB ,n;aeTcH 40
ceKYH,n; (no 2 ceKYH,n;bI Ha O,n;HO CJIOBO). Ha,n;o Ha3BaTb npa-
BHJIbHO H CJIOBO, Hero nopH,n;KOBbIH HOMep.
9. Hrpa «CHemHbIH KOM». IIepBbIH yqaCTHHK HrpbI Ha3bI-
BaeT O,n;HO CJIOBO, BTOpOH nOBTopHeT 3TO CJIOBO H Ha3bIBaeT em;e
O,n;HO CJIOBO. TpeTHH aCTHHK HrpbI Ha3bIBaeT CHaqaJIa ,n;Ba
CJIOBa, KOTopbIe yme 6bIJIH CKa3aHbI, H ,n;o6aBJIHeT em;e O,n;HO
CJIOBO. qeTBepTbIH aCTHHK - TPH CJIOBa nOBTopHeT H em;e o,n;-
HO ,n;o6aBJIHeT, H TaK ,n;aJIee. TOT, KTO ,n;onycTHJI omH6KY, BbI-
6bIBaeT H3 HrpbI. Hrpa HaqHHaeTCH 3aHOBO.
10. Hrpa «CHemHbIH KOM». ,l];onOJIHHTeJIbHbIe YCJIOBHH Hr-
pbI: Bce CJIOBa Ha3bIBalOTCH TOJIbKO Ha O,n;HY KaKYIO-HH6y,n;b Te-
MY, HanpHMep, «YpOK MaTeMaTHKH».
11. Hrpa « CHemHbIH KOM». ,l];onOJIHHTeJIbHbIe YCJIOBHH Hr-
pbI: MomHO Ha3bIBaTb TOJIbKO Te CJIOBa, KOTopbIe HaqHHalOTCH
Ha O,n;HY H TY me 6YKBY, HanpHMep, Ha 6YKBY H» (HOC,
HAP,l];bI, HHTKA, ...).
12. Hrpa « CHemHbIH KOM». ,l];onOJIHHTeJIbHbIe YCJIOBHH Hr-
pbI: MomHO Ha3bIBaTb TOJIbKO Te CJIOBa, KOTopbIe COCTOHT H3
o,n;Horo H Toro me qHCJIa 6YKB, HanpHMep, H3 qeTbIpex 6YKB
(KAllA, PYKA, KOct>E, ...).

CO,lI:EPjKAHHE
rJIaBa 1. YrrpamHeHHH C "tIHCJIaMH
rJIaBa 2. YrrpamHeHHH C 6YKBaMH .
rJIaBa 3. 3arrOMHHaHHe cpHryp .
rJIaBa 4. 3arroMHHaHHe "tIHCeJI
rJIaBa 5. 3arroMHHaHHe CJIOB .
4
15
21
26
33

 +
// MerOWKOAO
VlHTepHeT -KPY>KKVI VI OAVlMnHOAbl
www.m.taschool.ru
11,1£1£ Yl£eKuKo6:
1. HHT.pH.T-KPY>KKM.
IIo,l];roToBKa K OJIHMnHMaM,
pemeHHe HeCTaH,l];apTHbIx 3Maq.
2. HHT.pH.T-KJPCbl.
IIoBTopeHHe mKOJIbHOH nporpaMMbI,
pa3BHTHe HaBbIKOB YCTHoro CqeTa.
3. '.CTbI.
IIpoBepKa 3HaHHH H YMeHHH.
4. B.6MHapbl.
IIHTepHeT- ypOKH
no ,l];OnOJIHHTeJIbHbIM pa3,l];eJIaM MaTeMaTHKH.
5. HHT.pH.T-GAMMnM8AbI.
CopeBHoBaHHH no pemeHHIO HeCTaH,l];apTHbIx 3Maq,
u
3Maq nOBbImeHHOH CJIOmHOCTH.
6. HHT.pH.T-KOHKJPCbl.
CopeBHoBaHHH no pemeHHIO rOJIOBOJIOMOK,
HrpOBbIX 3Maq.
7. H MHoro. APyro....
11,1£1£ Yl£umel£eu:
1. &AaroA8PHoCTII
3a nO,l];rOToBKY n06e,l];HTeJIeH H npH3epoB
OJIHMnHM H KOHKYPCOB.
2. C.pntcl»MK....1
3a ny6JIHKaHIO TeCTOB.
3. B.6MHapbl
no ,l];OnOJIHHTeJIbHbIM pa3,l];eJIaM MaTeMaTHKH.