EL-510R Operation-Manual RU
реклама
êìëëäàâ
çÄìóçõâ äÄãúäìãüíéê
åéÑÖãú
EL-510R
êìäéÇéÑëíÇé èé ùäëèãìÄíÄñàà
: èÓfl‚ÎflÂÚÒfl, ÍÓ„‰‡ Û‡‚ÌÂÌË ÔÓÎÌÓÒÚ¸˛ Ì ÏÓÊÂÚ ·˚Ú¸
ÓÚÓ·‡ÊÂÌÓ. ç‡ÊËχÈÚ ÍÌÓÔÍË </> ‰Îfl ÚÓ„Ó,
˜ÚÓ·˚ ۂˉÂÚ¸ ÓÒڇθÌÛ˛ (ÒÍ˚ÚÛ˛) ˜‡ÒÚ¸.
/
ÇÇÖÑÖçàÖ
èÓÒΠÔÓ˜ÚÂÌËfl ‰‡ÌÌÓÈ ËÌÒÚÛ͈ËË ı‡ÌËڠ ‚ Û‰Ó·ÌÓÏ ÏÂÒÚÂ
‰Îfl ÔÓÎÛ˜ÂÌËfl ÒÔ‡‚ÓÍ ‚ ·Û‰Û˘ÂÏ.
ëÚ‡Ìˈ‡
ÇÇÖÑÖçàÖ ................................................................................... 2
ÑàëèãÖâ ..................................................................................... 2
èÖêÖÑ àëèéãúáéÇÄçàÖå äÄãúäìãüíéêÄ ...................... 3
çÄóÄãúçÄü ìëíÄçéÇäÄ ......................................................... 5
çÄìóçõÖ ÇõóàëãÖçàü ......................................................... 6
ÄËÙÏÂÚ˘ÂÒÍË ÓÔ‡ˆËË/Ç˚˜ËÒÎÂÌËfl Ò
ÍÓÌÒÚ‡ÌÚ‡ÏË .................................................................... 6
îÛÌ͈ËË ............................................................................... 7
ëÎÛ˜‡ÈÌ˚ ˜ËÒ· ................................................................ 8
èÂÓ·‡ÁÓ‚‡ÌËfl Û„ÎÓ‚˚ı ‰ËÌˈ ..................................... 8
Ç˚˜ËÒÎÂÌËfl Ò ËÒÔÓθÁÓ‚‡ÌËÂÏ Ô‡ÏflÚË ............................ 9
èÓÒΉӂ‡ÚÂθÌ˚ ‚˚˜ËÒÎÂÌËfl ..................................... 10
Ç˚˜ËÒÎÂÌËfl Ò ‰Ó·flÏË .................................................... 11
ÇÂÏÂÌÌ˚Â, ‰ÂÒflÚ˘Ì˚Â Ë ¯ÂÒÚˉÂÒflÚ¢Ì˚Â
‚˚˜ËÒÎÂÌËfl ................................................................... 11
èÂÓ·‡ÁÓ‚‡ÌËfl ÍÓÓ‰ËÌ‡Ú ............................................ 12
ëíÄíàëíàóÖëäàÖ ÇõóàëãÖçàü ....................................... 12
ÑàÄèÄáéçõ éòàÅéä à ÇõóàëãÖçàâ ............................ 14
áÄåÖçÄ ÅÄíÄêÖÖä ................................................................. 17
íÖïçàóÖëäàÖ ïÄêÄäíÖêàëíàäà ...................................... 18
ÑàëèãÖâ
: èÓfl‚ÎflÂÚÒfl ÔË Ì‡Ê‡ÚËË Í·‚Ë¯Ë @, Ò˄̇ÎËÁËÛfl
Ó ÚÓÏ, ˜ÚÓ Á‡‰ÂÈÒÚ‚Û˛ÚÒfl ÙÛÌ͈ËË, ÔÓ͇Á‡ÌÌ˚Â
ÊÂÎÚ˚Ï ˆ‚ÂÚÓÏ.
HYP
: ë˄̇ÎËÁËÛÂÚ Ó ÚÓÏ, ˜ÚÓ ·˚· ̇ʇڇ Í·‚˯‡ h,
Ë Á‡‰ÂÈÒÚ‚Û˛ÚÒfl „ËÔ·Ó΢ÂÒÍË ÙÛÌ͈ËË. èË
̇ʇÚËË Í·‚˯ @ h ÔÓfl‚Îfl˛ÚÒfl ÒËÏ‚ÓÎ˚
“22 n d F H Y P
P”, Ò˄̇ÎËÁËÛfl Ó ÚÓÏ, ˜ÚÓ Á‡‰ÂÈÒÚ‚Û˛ÚÒfl
Ó·‡ÚÌ˚ „ËÔ·Ó΢ÂÒÍË ÙÛÌ͈ËË.
éÔ‡ˆËfl
Ò·ÓÒ‡
: ë˄̇ÎËÁËÛÂÚ Ó ÚÓÏ, ˜ÚÓ ·˚ÎË Ì‡Ê‡Ú˚ Í·‚Ë¯Ë @
K ËÎË O (R), Ë ‚‚Ó‰ (ÔÓ‚ÚÓÌ˚È ‚˚ÁÓ‚)
ÒÓ‰ÂÊËÏÓ„Ó Ô‡ÏflÚË Ë ÔÓ‚ÚÓÌ˚È ‚˚ÁÓ‚
ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‰‡ÌÌ˚ı ÏÓÊÂÚ ·˚Ú¸ ‚˚ÔÓÎÌÂÌ.
RESET
A
F I X / S C I / E N G : éÚÓ·‡Ê‡ÂÚ ÒËÒÚÂÏÛ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı,
ËÒÔÓθÁÛÂÏÛ˛ ‰Îfl Ë̉Ë͇ˆËË Á̇˜ÂÌËfl, Ë ËÁÏÂÌflÂÚÒfl
͇ʉ˚È ‡Á ÔË Ì‡Ê‡ÚËË Í·‚˯ @ f.
DEG/RAD/GRAD: éÚÓ·‡Ê‡ÂÚ Û„ÎÓ‚˚ ‰ËÌˈ˚ Ë ËÁÏÂÌflÂÚÒfl
͇ʉ˚È ‡Á ÔË Ì‡Ê‡ÚËË Í·‚Ë¯Ë G.
STAT
M
: èÓfl‚ÎflÂÚÒfl ÔË ‚˚·Ó ÂÊËχ ÒÚ‡ÚËÒÚ˘ÂÒÍËı
‰‡ÌÌ˚ı.
: ë˄̇ÎËÁËÛÂÚ Ó ÚÓÏ, ˜ÚÓ ‚ ÌÂÁ‡‚ËÒËÏÓÈ Ô‡ÏflÚË
ı‡ÌËÚÒfl ˜ËÒÎÂÌÌÓ Á̇˜ÂÌËÂ.
èÖêÖÑ àëèéãúáéÇÄçàÖå äÄãúäìãüíéêÄ
← ëËÏ‚ÓÎ
ëËÒÚÂχ Ó·ÓÁ̇˜ÂÌËfl Í·‚˯, ËÒÔÓθÁÛÂχfl ‚ ‰‡ÌÌÓÏ ÛÍÓ‚Ó‰ÒÚ‚Â
Ç ‰‡ÌÌÓÏ ÛÍÓ‚Ó‰ÒÚ‚Â ÙÛÌ͈ËÓÌËÓ‚‡ÌË Í·‚˯ ÓÔËÒ˚‚‡ÂÚÒfl
ÒÎÂ‰Û˛˘ËÏ Ó·‡ÁÓÏ:
å‡ÌÚËÒÒ‡
02DGK (TINSR0462THZZ)
PRINTED IN CHINA / éíèÖóÄíÄçé Ç äàíÄÖ
–1–
éÔ‰ÂÎÂÌË ۄÎÓ‚ÓÈ Â‰ËÌˈ˚
Ç ‰‡ÌÌÓÏ Í‡Î¸ÍÛÎflÚÓ ÏÓ„ÛÚ ·˚Ú¸ Á‡‰‡Ì˚ ÒÎÂ‰Û˛˘Ë ÚË
Û„ÎÓ‚˚ ‰ËÌˈ˚.
DEG ( °)
èË ‚˚ÔÓÎÌÂÌËË ‚˚˜ËÒÎÂÌËÈ Ò ËÒÔÓθÁÓ‚‡ÌËÂÏ ÍÓÌÒÚ‡ÌÚ
ÍÓÌÒÚ‡ÌÚ˚ ·Û‰ÛÚ ÓÚÓ·‡Ê‡Ú¸Òfl Í‡Í K.
îÛÌ͈ËË
• è‰ ̇˜‡ÎÓÏ ‚˚˜ËÒÎÂÌËÈ Á‡‰‡ÈÚ ۄÎÓ‚Û˛ ‰ËÌˈÛ. (ëÏ.
ÒÚ. 6)
ç‡ÊÏËÚ Í·‚˯Û
GRAD („) G RAD (ꇉˇÌ˚)
π
4
cos–[‡‰]=
çÄìóçõÖ ÇõóàëãÖçàü
• ç‡ÊÏËÚ Í·‚Ë¯Ë @ m 0 ‰Îfl ‚˚·Ó‡ Ó·˚˜ÌÓ„Ó ÂÊËχ.
• Ç Í‡Ê‰ÓÏ ÔËÏ ̇ÊËχÈÚ Í·‚Ë¯Û N ‰Îfl Ò·ÓÒ‡
Ë̉Ë͇ˆËË.
• ÖÒÎË ÓÚÓ·‡Ê‡˛ÚÒfl Ë̉Ë͇ÚÓ˚ FIX, SCI, ËÎË ENG, Ò·ÓÒ¸ÚÂ
Ë̉Ë͇ÚÓ, ̇ÊËχfl Í·‚Ë¯Ë @ f. (ëÏ. ÒÚ. 5)
tan–11=[„]
18+6
=
15–8
( 18 + 6 )/
( 1 5 - 8 = *1
42×(–5)+120=
42 *– 5 + 120 =
(5×103)÷(4×10–3)=
5E3/4E
–3=
34+57=
45+57=
34 + 57 = *
45
=
68×25=
68×40=
68 * 25 = *3
40 =
2
140.
3.428571429
Ns 60 =
ÑÎfl Á‡‰‡ÌËfl x2 : @ L
ÑÎfl Á‡‰‡ÌËfl Exp: E
îÛÌ͈ËË, Ó·ÓÁ̇˜ÂÌÌ˚ ÊÂÎÚ˚Ï ˆ‚ÂÚÓÏ Ì‡‰ Í·‚˯‡ÏË, Ú·ÛÂÚ
̇ʇÚËfl Í·‚Ë¯Ë @ ‚̇˜‡Î Ô‰ ̇ʇÚËÂÏ ÙÛÌ͈ËÓ̇θÌÓÈ
Í·‚˯Ë. óËÒ· Ì ÔÓ͇Á˚‚‡˛ÚÒfl Í‡Í Í·‚˯Ë, ‡ Í‡Í Ó·˚˜Ì˚Â
˜ËÒ·.
–3–
• • • •
6 @•+ 7 @
•=
8–2 – 34× 52 =
8™–2-3™
4 * 5 @L= –2024.984375
Gu (V/ 4
0.707106781
)=
G@T 1 =
G
50.
θ = sin–1 x, θ = tan–1 x
θ = cos–1 x
91.
102.
1700.
2720.
*1 á‡Í˚ÚË ÒÍÓ·ÓÍ ) Ò‡ÁÛ Ô‰ = ËÎË ; ÏÓÊÂÚ
·˚Ú¸ ÓÔÛ˘ÂÌÓ.
*2 ÇÚÓÓ Ò·„‡ÂÏÓ ÒÚ‡ÌÓ‚ËÚÒfl ÍÓÌÒÚ‡ÌÚÓÈ. Ç˚˜ËÚ‡ÌËÂ Ë ‰ÂÎÂÌËÂ
ÔÓËÁ‚Ó‰flÚÒfl Ú‡ÍËÏ Ê ӷ‡ÁÓÏ.
*3 åÌÓÊËÏÓ ÒÚ‡ÌÓ‚ËÚÒfl ÍÓÌÒÚ‡ÌÚÓÈ.
–6–
6.447419591
√49 –4√81 =
@⁄ 49 - 4 @$
81 =
4! =
4 @!=
10P3 =
10 @q 3 =
720.
5C2 =
5 @Q 2 =
10.
4.
24.
500×25%=
500 * 25 @%
125.
120 ÷400=?%
120 / 400 @%
30.
–90 ≤ θ ≤ 90
0 ≤ θ ≤ 180
500+(500×25%)=
500 + 25 @%
625.
RAD
—
–—
2 ≤θ≤ 2
0≤θ≤π
400–(400×30%)=
400 - 30 @%
280.
–100 ≤ θ ≤ 100
0 ≤ θ ≤ 200
GRAD
π
π
N(hu 1.5
+hs 1.5 )
@L=
20.08553692
tanh–15– =
7
@Ht( 5
/ 7 )=
0.895879734
ln 20 =
@I 20 =
2.995732274
log 50 =
@l 50 =
1.698970004
e3 =
@e 3 =
20.08553692
101.7 =
@¡ 1.7 =
50.11872336
(cosh 1.5 +
sinh 1.5)2 =
• • • •
–7–
ëÎÛ˜‡ÈÌ˚ ˜ËÒ·
èÒ‚‰ÓÒÎÛ˜‡ÈÌÓ ˜ËÒÎÓ Ò ÚÂÏfl Á̇˜‡˘ËÏË ˆËÙ‡ÏË ÏÓÊÂÚ ·˚Ú¸
„ÂÌÂËÓ‚‡ÌÓ ÔË ÔÓÏÓ˘Ë Ì‡Ê‡ÚËfl Í·‚˯ @ ` =.
óÚÓ·˚ „ÂÌÂËÓ‚‡Ú¸ ÒÎÂ‰Û˛˘Â ÒÎÛ˜‡ÈÌÓ ˜ËÒÎÓ, ̇ÊÏËÚÂ
Í·‚Ë¯Û =. Ç˚ ÏÓÊÂÚ ‚˚ÔÓÎÌflÚ¸ ˝ÚÛ ÙÛÌÍˆË˛ ‚ Ó·˚˜ÌÓÏ
ÂÊËÏÂ Ë ‚ ÂÊËÏ ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‰‡ÌÌ˚ı.
• ëÎÛ˜‡ÈÌ˚ ˜ËÒ· ËÒÔÓθÁÛ˛Ú Ô‡ÏflÚ¸ Y. ä‡Ê‰Ó ÒÎÛ˜‡ÈÌÓÂ
˜ËÒÎÓ „ÂÌÂËÛÂÚÒfl ̇ ÓÒÌÓ‚Â Á̇˜ÂÌËfl, ÒÓı‡ÌflÂÏÓ„Ó ‚ Ô‡ÏflÚË
Y (fl‰ ÔÒ‚‰ÓÒÎÛ˜‡ÈÌ˚ı ˜ËÒÂÎ).
èÂÓ·‡ÁÓ‚‡ÌËfl Û„ÎÓ‚˚ı ‰ËÌˈ
90°→ [‡‰]
→ [„]
→ [°]
• • • •
N 90 @g
@g
@g
–8–
çÄóÄãúçÄü ìëíÄçéÇäÄ
ëÛ˘ÂÒÚ‚ÛÂÚ ÚË ÒÎÂ‰Û˛˘Ëı ÏÂÚÓ‰‡ Ò·ÓÒ‡:
Ç˚·Ó ÂÊËχ
M*1
X,Y*2
STAT, ANS
N
×
×
@c
×
ǂ‰ÂÌÌ˚ ‰‡ÌÌ˚Â
(ÑËÒÔÎÂÈ)
: ë·ÓÒ
× : ëÓı‡ÌflÂÚÒfl
*1 çÂÁ‡‚ËÒËχfl Ô‡ÏflÚ¸ M.
*2 ÇÂÏÂÌÌ˚ ԇÏflÚË X Ë Y, ÒÚ‡ÚËÒÚ˘ÂÒÍË ‰‡ÌÌ˚Â Ë Ô‡ÏflÚ¸
ÔÓÒΉÌÂ„Ó ÓÚ‚ÂÚ‡.
èÓ ÔÓ‚Ó‰Û ‰ÓÔÓÎÌËÚÂθÌÓÈ ËÌÙÓχˆËË Ó·‡˘‡ÈÚÂÒ¸ Í ÒÚ. 9.
ꉇÍÚËÓ‚‡ÌË ۇ‚ÌÂÌËfl
• ç‡ÊËχÈÚ Í·‚Ë¯Ë < ËÎË > ‰Îfl ÔÂÂÏ¢ÂÌËfl
ÍÛÒÓ‡. Ç˚ ÏÓÊÂÚ ڇÍÊ ‚ÂÌÛÚ¸Òfl Í Û‡‚ÌÂÌ˲ ÔÓÒÎÂ
ÔÓÎÛ˜ÂÌËfl ÓÚ‚ÂÚ‡, ̇ÊËχfl Í·‚Ë¯Û > (<).
• ÖÒÎË Ç‡Ï ÌÛÊÌÓ Û‰‡ÎËÚ¸ ˆËÙÛ, ÔÂÂÏÂÒÚËÚ ÍÛÒÓ Í ˆËÙÂ,
ÍÓÚÓÛ˛ Ç˚ ıÓÚËÚ ۉ‡ÎËÚ¸, ‡ Á‡ÚÂÏ Ì‡ÊÏËÚ Í·‚Ë¯Û d.
ñËÙ‡, ‡ÒÔÓÎÓÊÂÌ̇fl ÔÓ‰ ÍÛÒÓÓÏ, ·Û‰ÂÚ Û‰‡ÎÂ̇.
• ÖÒÎË Ç‡Ï ÌÛÊÌÓ ‚ÒÚ‡‚ËÚ¸ ˆËÙÛ, ÔÂÂÏÂÒÚËÚ ÍÛÒÓ Í ÏÂÒÚÛ,
‡ÒÔÓÎÓÊÂÌÌÓÏÛ Ò‡ÁÛ ÔÓÒΠÚÓ„Ó, ÍÛ‰‡ Ç˚ ıÓÚËÚ ‚ÒÚ‡‚ËÚ¸
ˆËÙÛ, ‡ Á‡ÚÂÏ ‚‚‰ËÚ ˆËÙÛ.
ìÓ‚ÌË ÔËÓËÚÂÚ‡ ÔË ‚˚˜ËÒÎÂÌËflı
чÌÌ˚È Í‡Î¸ÍÛÎflÚÓ ‚˚ÔÓÎÌflÂÚ ÓÔ‡ˆËË Òӄ·ÒÌÓ ÒÎÂ‰Û˛˘ÂÏÛ
ÔËÓËÚÂÚÛ:
1 îÛÌ͈ËË, Ô‰‚‡flÂÏ˚ Ëı ‡„ÛÏÂÌÚÓÏ (x-1, x2, n!, Ë Ú.‰.) 2 Yx,
x
¿ 3 ÇÍβ˜‡˛˘Ë ‚ Ò·fl ÛÏÌÓÊÂÌË Á̇˜ÂÌËfl Ô‡ÏflÚË (2Y, Ë
Ú.‰.) 4 îÛÌ͈ËË, Á‡ ÍÓÚÓ˚ÏË ÒΉÛÂÚ Ëı ‡„ÛÏÂÌÚ (sin, cos, Ë Ú.‰.)
5 ÇÍβ˜‡˛˘Ë ‚ Ò·fl ÛÏÌÓÊÂÌË ÙÛÌ͈ËË (2sin30, Ë Ú.‰.) 6 nCr,
nPr 7 ×, ÷ 8 +, – 9 =, M+, M–, ⇒M, |DEG, |RAD, |GRAD,
DATA, CD, →rθ, →xy Ë ‰Û„Ë ÍÓ̘Ì˚ ËÌÒÚÛ͈ËË ‚˚˜ËÒÎÂÌËÈ
–4–
sin–10.8 = [°]
→ [‡‰]
→ [„]
→ [°]
@S 0.8 =
@g
@g
@g
53.13010235
0.927295218
59.03344706
53.13010235
1.570796327
100.
90.
чÌÌ˚È Í‡Î¸ÍÛÎflÚÓ ËÏÂÂÚ ‰‚ ‚ÂÏÂÌÌ˚ı Ô‡ÏflÚË (X Ë Y), Ó‰ÌÛ
ÌÂÁ‡‚ËÒËÏÛ˛ Ô‡ÏflÚ¸ (M) Ë Ó‰ÌÛ Ô‡ÏflÚ¸ ÔÓÒΉÌÂ„Ó ÓÚ‚ÂÚ‡. çÂÁ‡‚ËÒËχfl
Ô‡ÏflÚ¸ Ë ‚ÂÏÂÌÌ˚ ԇÏflÚË ‰ÓÒÚÛÔÌ˚ ÚÓθÍÓ ‚ Ó·˚˜ÌÓÏ ÂÊËÏÂ.
[ÇÂÏÂÌÌ˚ ԇÏflÚË (X Ë Y)]
ëÓı‡ÌÂÌÌÓ Á̇˜ÂÌË ÏÓÊÂÚ ·˚Ú¸ ÔÓ‚ÚÓÌÓ ‚˚Á‚‡ÌÓ Í‡Í ˜ËÒÎÓ
ËÎË Í‡Í ÔÂÂÏÂÌ̇fl ‰Îfl ËÒÔÓθÁÓ‚‡ÌËfl ‚ Û‡‚ÌÂÌËflı.
• Ç ÒÎÛ˜‡Â, ÍÓ„‰‡ Ç˚ ÒÓı‡ÌflÂÚ ‚ Ô‡ÏflÚË ·ÂÒÍÓ̘ÌÛ˛
‰ÂÒflÚ˘ÌÛ˛ ‰Ó·¸, ‚˚Á˚‚‡Èڠ ÔÓ‚ÚÓÌÓ Í‡Í ÔÂÂÏÂÌÌÛ˛
‰Îfl ÔÓÎÛ˜ÂÌËfl ÚÓ˜Ì˚ı ÓÚ‚ÂÚÓ‚.
èËÏ.) 1 / 3 O Y
(0.3333...ÒÓı‡ÌflÂÚÒfl ‚ Y)
3*RY=
3*@KY=
é·˚˜Ì˚È ÂÊËÏ: @m0
àÒÔÓθÁÛÂÚÒfl ‰Îfl ‚˚ÔÓÎÌÂÌËfl ‡ËÙÏÂÚ˘ÂÒÍËı ÓÔ‡ˆËÈ Ë
‚˚˜ËÒÎÂÌËÈ Ò ËÒÔÓθÁÓ‚‡ÌËÂÏ ÙÛÌ͈ËÈ.
êÂÊËÏ ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‰‡ÌÌ˚ı: @m1
àÒÔÓθÁÛÂÚÒfl ‰Îfl ‚˚ÔÓÎÌÂÌËfl ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‚˚˜ËÒÎÂÌËÈ.
Ç˚˜ËÒÎÂÌËfl Ò ËÒÔÓθÁÓ‚‡ÌËÂÏ Ô‡ÏflÚË
DEG
–90.
1250000.
12 ™ 3 ™ 4
@•=
0.309523809
• èË ËÒÔÓθÁÓ‚‡ÌËË ÒÍÓ·ÓÍ ‚˚˜ËÒÎÂÌËfl, Á‡Íβ˜ÂÌÌ˚ ‚ ÒÍÓ·ÍË,
ËÏÂ˛Ú ÔÂËÏÛ˘ÂÒÚ‚Ó Ô‰ ‚ÒÂÏË ÓÒڇθÌ˚ÏË ‚˚˜ËÒÎÂÌËflÏË.
åÂÚÓ‰˚ Ò·ÓÒ‡
• • • •
1– + 1– =
6 7
0.866025403
• êÂÁÛθڇÚ˚ Ó·‡ÚÌ˚ı ÚË„ÓÌÓÏÂÚ˘ÂÒÍËı ÙÛÌ͈ËÈ
ÓÚÓ·‡Ê‡˛ÚÒfl ‚ ԉ·ı ÒÎÂ‰Û˛˘Â„Ó ‰Ë‡Ô‡ÁÓ̇:
ÄËÙÏÂÚ˘ÂÒÍË ÓÔ‡ˆËË/Ç˚˜ËÒÎÂÌËfl Ò ÍÓÌÒÚ‡ÌÚ‡ÏË
N 45 + 285 / 3 =
x2
E
1
–
(123) 4 =
sin60[°]=
45+285÷3=
èÓ͇Á‡ÚÂθ ÒÚÂÔÂÌË
(èË Ù‡ÍÚ˘ÂÒÍÓÏ ËÒÔÓθÁÓ‚‡ÌËË Ì ‚Ò ÒËÏ‚ÓÎ˚ ÓÚÓ·‡Ê‡˛ÚÒfl
Ó‰ÌÓ‚ÂÏÂÌÌÓ.)
ÖÒÎË Á̇˜ÂÌË χÌÚËÒÒ˚ ‚˚ıÓ‰ËÚ Á‡ Ô‰ÂÎ˚ ‰Ë‡Ô‡ÁÓ̇
±0.000000001 – ±9999999999, ‰ËÒÔÎÂÈ ÔÂÂıÓ‰ËÚ Í Ì‡Û˜ÌÓÈ
ÒËÒÚÂÏ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı. êÂÊËÏ ‰ËÒÔÎÂfl ÏÓÊÂÚ ·˚Ú¸
ËÁÏÂÌÂÌ ‚ ÒÓÓÚ‚ÂÚÒÚ‚ËË Ò Ô‰ÏÂÚÓÏ ‚˚˜ËÒÎÂÌËÈ.
–2–
ç‡ÊÏËÚ Í·‚Ë¯Û N ‰Îfl ‚Íβ˜ÂÌËfl ͇θÍÛÎflÚÓ‡, Ë Í·‚˯Ë
@ F ‰Îfl Â„Ó ÓÚÍβ˜ÂÌËfl.
2ndF
èËϘ‡ÌËfl ÔÓ ˝ÍÒÔÎÛ‡Ú‡ˆËË
ÑÎfl Ó·ÂÒÔ˜ÂÌËfl ·ÂÁÓÚ͇ÁÌÓÈ ˝ÍÒÔÎÛ‡Ú‡ˆËË, ÔÓʇÎÛÈÒÚ‡,
Òӷ≇ÈÚ ÒÎÂ‰Û˛˘Ë ÔÛÌÍÚ˚:
1. ç ÌÓÒËÚ ͇θÍÛÎflÚÓ ‚ Á‡‰ÌÂÏ Í‡Ï‡Ì ·˛Í ËÎË ‰ÊËÌÒÓ‚.
2. ç ÔÓ‰‚„‡ÈÚ ͇θÍÛÎflÚÓ ‚ÓÁ‰ÂÈÒڂ˲ ˜ÂÁÏÂÌ˚ı
ÚÂÏÔ‡ÚÛ.
3. ç ÓÌflÈÚÂ Â„Ó Ë Ì ÔËÍ·‰˚‚‡ÈÚÂ Í ÌÂÏÛ ˜ÂÁÏÂÌ˚ ÛÒËÎËfl.
4. é˜Ë˘‡ÈÚ ÚÓθÍÓ Ïfl„ÍÓÈ, ÒÛıÓÈ Ú̸͇˛.
5. ç ÔÓθÁÛÈÚÂÒ¸ Ë Ì ı‡ÌËÚ ͇θÍÛÎflÚÓ ‚ ÚÂı ÏÂÒÚ‡ı, „‰Â ÓÌ
ÏÓÊÂÚ ·˚Ú¸ Á‡·˚Á„‡Ì ÊˉÍÓÒÚ¸˛.
♦ ç‡ÊËχÈÚ ‚˚Íβ˜‡ÚÂθ RESET ÚÓθÍÓ ‚ ÒÎÂ‰Û˛˘Ëı ÒÎÛ˜‡flı:
• èË ËÒÔÓθÁÓ‚‡ÌËË ‚ Ô‚˚È ‡Á
• èÓÒΠÁ‡ÏÂÌ˚ ·‡Ú‡ÂÂÍ
• ÑÎfl ÒÚˇÌËfl ‚ÒÂ„Ó ÒÓ‰ÂÊËÏÓ„Ó Ô‡ÏflÚË
• èË ‚ÓÁÌËÍÌÓ‚ÂÌËË ÌÂÌÓχθÌÓÈ ÒËÚÛ‡ˆËË, ÍÓ„‰‡ ‚ÒÂ
Í·‚Ë¯Ë Ì ÙÛÌ͈ËÓÌËÛ˛Ú.
èË ‚ÓÁÌËÍÌÓ‚ÂÌËË ÌÂÓ·ıÓ‰ËÏÓÒÚË ÚÂıÌ˘ÂÒÍÓ„Ó Ó·ÒÎÛÊË‚‡ÌËfl
‰‡ÌÌÓ„Ó Í‡Î¸ÍÛÎflÚÓ‡, Ó·‡˘‡ÈÚÂÒ¸ ÚÓθÍÓ Í ‰ËÎÂÛ ÔÓ
ÚÂıÌ˘ÂÒÍÓÏÛ Ó·ÒÎÛÊË‚‡Ì˲ ÙËÏ˚ SHARP, ÛÔÓÎÌÓÏÓ˜ÂÌÌÓÈ
χÒÚÂÒÍÓÈ ÚÂıÌ˘ÂÒÍÓ„Ó Ó·ÒÎÛÊË‚‡ÌËfl ÙËÏ˚ SHARP ËÎË Í
ÂÏÓÌÚÌÓÈ ÒÎÛÊ·Â ÙËÏ˚ SHARP Ú‡Ï, „‰Â ÓÌË ËϲÚÒfl.
ÇÍβ˜ÂÌËÂ Ë ‚˚Íβ˜ÂÌË ÔËÚ‡ÌËfl
0.999999999
1.
[çÂÁ‡‚ËÒËχfl Ô‡ÏflÚ¸ (M)]
Ç ‰ÓÔÓÎÌÂÌË ÍÓ ‚ÒÂÏ Ò‚ÓÈÒÚ‚‡Ï ‚ÂÏÂÌÌ˚ı Ô‡ÏflÚÂÈ, Í
Ëϲ˘ÂÏÛÒfl ‚ Ô‡ÏflÚË Á̇˜ÂÌ˲ ÏÓÊÂÚ ·˚Ú¸ ÔË·‡‚ÎÂÌÓ ËÎË
‚˚˜ÚÂÌÓ ËÁ ÌÂ„Ó ‰Û„Ó Á̇˜ÂÌËÂ.
[è‡ÏflÚ¸ ÔÓÒΉÌÂ„Ó ÓÚ‚ÂÚ‡ (ANS)]
êÂÁÛÎ¸Ú‡Ú ‚˚˜ËÒÎÂÌËÈ, ÔÓÎÛ˜ÂÌÌ˚È ÔË ÔÓÏÓ˘Ë Ì‡Ê‡ÚËfl Í·‚˯Ë
= ËÎË Î˛·ÓÈ ‰Û„ÓÈ ÍÓ̘ÌÓÈ ËÌÒÚÛ͈ËË ‚˚˜ËÒÎÂÌËÈ,
‡‚ÚÓχÚ˘ÂÒÍË ÒÓı‡ÌflÂÚÒfl ‚ Ô‡ÏflÚË ÔÓÒΉÌÂ„Ó ÓÚ‚ÂÚ‡.
èËϘ‡ÌËÂ:
êÂÁÛθڇÚ˚ ‚˚˜ËÒÎÂÌËÈ ÙÛÌ͈ËÈ, Ô˂‰ÂÌÌ˚ı ÌËÊÂ,
‡‚ÚÓχÚ˘ÂÒÍË ÒÓı‡Ìfl˛ÚÒfl ‚ Ô‡ÏflÚË X ËÎË Y. èÓ ˝ÚÓÈ Ô˘ËÌÂ,
ÔË ËÒÔÓθÁÓ‚‡ÌËË ‰‡ÌÌ˚ı ÙÛÌ͈ËÈ ·Û‰¸Ú ÓÒÚÓÓÊÌ˚ Ò
ËÒÔÓθÁÓ‚‡ÌËÂÏ Ô‡ÏflÚË X ËÎË Y.
• ëÎÛ˜‡ÈÌ˚ ˜ËÒ· ............................ Ô‡ÏflÚ¸ Y
• →rθ, →xy ........................................ Ô‡ÏflÚ¸ X, Ô‡ÏflÚ¸ Y
ÇÂÏÂÌÌ˚ ԇÏflÚË Ë Ô‡ÏflÚ¸ ÔÓÒΉÌÂ„Ó ÓÚ‚ÂÚ‡ Ò·‡Ò˚‚‡˛ÚÒfl,
‰‡Ê ÍÓ„‰‡ ÔÓ‚ÚÓÌÓ ‚˚·Ë‡ÂÚÒfl ÚÓÚ Ê ÂÊËÏ.
èÓ ÔÓ‚Ó‰Û ‰ÓÔÓÎÌËÚÂθÌÓÈ ËÌÙÓχˆËË Ó·‡˘‡ÈÚÂÒ¸ Í ÒÚ. 4.
–9–
èË ‚˚ÔÓÎÌÂÌËË ÓÔ‡ˆËË ‚˚·Ó‡ ÂÊËχ ‚ÂÏÂÌ̇fl Ô‡ÏflÚ¸,
ÒÚ‡ÚËÒÚ˘ÂÒÍË ‰‡ÌÌ˚Â Ë Ô‡ÏflÚ¸ ÔÓÒΉÌÂ„Ó ÓÚ‚ÂÚ‡ ·Û‰ÛÚ
Ò·Ó¯ÂÌ˚, ‰‡Ê ÔË ÔÓ‚ÚÓÌÓÏ ‚˚·Ó ÚÓ„Ó Ê ҇ÏÓ„Ó ÂÊËχ.
Ç˚·Ó ÒËÒÚÂÏ˚ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı ‰ËÒÔÎÂfl
Ë ‰ÂÒflÚ˘Ì˚ı ‡Áfl‰Ó‚
ä‡Î¸ÍÛÎflÚÓ ËÏÂÂÚ ˜ÂÚ˚ ÒËÒÚÂÏ˚ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı ‰Îfl
ÓÚÓ·‡ÊÂÌËfl ÂÁÛθڇÚÓ‚ ‚˚˜ËÒÎÂÌËÈ. äÓ„‰‡ ÓÚÓ·‡Ê‡˛ÚÒfl ÒËÏ‚ÓÎ˚
FIX, SCI ËÎË ENG, ÍÓ΢ÂÒÚ‚Ó ‰ÂÒflÚ˘Ì˚ı ‡Áfl‰Ó‚ ÏÓÊÂÚ ·˚Ú¸
ÛÒÚ‡ÌÓ‚ÎÂÌÓ ‡‚Ì˚Ï Î˛·ÓÈ ‚Â΢ËÌ ÏÂÊ‰Û 0 Ë 9. éÚÓ·‡Ê‡ÂÏ˚Â
Á̇˜ÂÌËfl ·Û‰ÛÚ ÛÏÂ̸¯ÂÌ˚ ‰Ó ÒÓÓÚ‚ÂÚÒÚ‚Û˛˘Â„Ó ÍÓ΢ÂÒÚ‚‡ ‡Áfl‰Ó‚.
100000÷3=
[è·‚‡˛˘‡fl Á‡ÔflÚ‡fl]
N100000/3=
→[îËÍÒËÓ‚‡Ì̇fl ‰ÂÒflÚ˘̇fl Á‡ÔflÚ‡fl]
@f
[ìÒÚ‡Ìӂ͇ TAB ̇ 2]
@i 2
→[ç‡Û˜Ì‡fl ÒËÒÚÂχ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı (SCI)]
@f
→[àÌÊÂÌÂ̇fl ÒËÒÚÂχ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı (ENG)]
@f
→[è·‚‡˛˘‡fl Á‡ÔflÚ‡fl] @f
33333.33333
33333.33333
33333.33
3.33×104
33.33×103
33333.33333
• ÖÒÎË Á̇˜ÂÌË ˜ËÒ· ‰Îfl ÒËÒÚÂÏ˚ Ò Ô·‚‡˛˘ÂÈ Á‡ÔflÚÓÈ ‚˚ıÓ‰ËÚ
Á‡ Ô‰ÂÎ˚ ÒÎÂ‰Û˛˘Â„Ó ‰Ë‡Ô‡ÁÓ̇, ͇θÍÛÎflÚÓ ·Û‰ÂÚ ÓÚÓ·‡Ê‡Ú¸
ÂÁÛθڇÚ, ËÒÔÓθÁÛfl ̇ۘÌÛ˛ ÒËÒÚÂÏÛ Ô‰ÒÚ‡‚ÎÂÌËfl ‰‡ÌÌ˚ı.
0.000000001 ≤ | x | ≤ 9999999999
–5–
24÷(8×2)=
(8×2)×5=
N 8 * 2 OM
24 /RM=
RM* 5 =
$150×3:M1
+)$250:M2 =M1+250
–)M2×5%:ÑËÒÍÓÌÚ
ÇÒ„Ó=M
NOM
150 * 3 ;
250 ;
RM*5@%
@:RM
$1= ¥140
¥33,775=$?
$2,750=¥?
140 OY
33775 /RY=
2750 *RY=
r = 3cm
πr2 = ?
(r → Y)
3 OY
V@K *
Y@L=
24
= 2.4...(A)
4+6
3×(A)+60÷(A)=
24 /( 4 + 6 )
=
3 *?+ 60 /
?=
*
16.
1.5
80.
0.
450.
250.
35.
665.
140.
241.25
385000.
3.
28.27433388
2.4
32.2
Ç‚Ó‰ Ôӈ‰Û˚ ÛÏÌÓÊÂÌËfl ÏÂÊ‰Û “π” Ë ÔÂÂÏÂÌÌÓÈ ÓÔÛ˘ÂÌ.
èÓÒΉӂ‡ÚÂθÌ˚ ‚˚˜ËÒÎÂÌËfl
чÌÌ˚È Í‡Î¸ÍÛÎflÚÓ ÔÓÁ‚ÓÎflÂÚ ËÒÔÓθÁÓ‚‡Ú¸ ÂÁÛθڇÚ˚
Ô‰˚‰Û˘Ëı ‚˚˜ËÒÎÂÌËÈ ‚ ÔÓÒÎÂ‰Û˛˘Ëı ‚˚˜ËÒÎÂÌËflı.
6+4=ANS
ANS+5
N6+4=
+5=
10.
15.
44+37=ANS
√ANS=
44 + 37 =
@⁄=
81.
9.
êÂÁÛÎ¸Ú‡Ú Ô‰˚‰Û˘Â„Ó ‚˚˜ËÒÎÂÌËfl Ì ·Û‰ÂÚ ÔÓ‚ÚÓÌÓ
‚˚Á˚‚‡Ú¸Òfl ÔÓÒΠ‚‚‰ÂÌËfl ÏÌÓ„Ó͇ÚÌ˚ı ËÌÒÚÛ͈ËÈ.
– 10 –
Ç˚˜ËÒÎÂÌËfl Ò ‰Ó·flÏË
èÂÓ·‡ÁÓ‚‡ÌËfl ÍÓÓ‰Ë̇Ú
• ÑÂÒflÚ˘ÌÓ ˜ËÒÎÓ, ÔÂÂÏÂÌ̇fl ËÎË ÔÓ͇Á‡ÚÂθ ÒÚÂÔÂÌË Ì ÏÓ„ÛÚ
·˚Ú¸ ‚‚‰ÂÌ˚ Í‡Í ‰Ó·¸.
• ÇÓ ‚ÒÂı ÒÎÛ˜‡flı ÏÓÊÂÚ ·˚Ú¸ ‚‚‰ÂÌÓ ‚ÒÂ„Ó ‰Ó 10 ˆËÙ, ‚Íβ˜‡fl
ˆÂÎÛ˛ ˜‡ÒÚ¸, ˜ËÒÎËÚÂθ, Á̇ÏÂ̇ÚÂθ Ë ÒËÏ‚ÓÎ (l).
• ÖÒÎË ÍÓ΢ÂÒÚ‚Ó ˆËÙ, ÍÓÚÓ˚ ‰ÓÎÊÌ˚ ·˚Ú¸ ÓÚÓ·‡ÊÂÌ˚, Ô‚˚¯‡ÂÚ
10, ˜ËÒÎÓ ÔÂÓ·‡ÁÛÂÚÒfl Ë ÓÚÓ·‡Ê‡ÂÚÒfl, Í‡Í ‰ÂÒflÚ˘ÌÓ ˜ËÒÎÓ.
• è‰ ‚˚ÔÓÎÌÂÌËÂÏ ‚˚˜ËÒÎÂÌËÈ ‚˚·ÂËÚ ۄÎÓ‚Û˛ ‰ËÌˈÛ.
(ëÏ. ÒÚ. 6)
Y
N3\1\2+
4 l5 l6 *
4\3=
4.833333333
\
2 9 l6
@|
b
1 4
3– + – = [a–]
c
2 3
→[a.xxx]
→[d/c]
@¡ 2 \ 3
=
2
3
10 =
2
b
→[a–]
c
1.65
1 l1 3 l2 0
ÇÂÏÂÌÌ˚Â, ‰ÂÒflÚ˘Ì˚Â Ë ¯ÂÒÚˉÂÒflÚ¢Ì˚ ‚˚˜ËÒÎÂÌËfl
åÓ„ÛÚ ·˚Ú¸ ‚˚ÔÓÎÌÂÌ˚ ÔÂÓ·‡ÁÓ‚‡ÌËfl ÏÂÊ‰Û ‰ÂÒflÚ˘Ì˚ÏË Ë
¯ÂÒÚˉÂÒflÚ¢Ì˚ÏË ˜ËÒ·ÏË. ÑÓÔÓÎÌËÚÂθÌÓ, ÔË ËÒÔÓθÁÓ‚‡ÌËË
¯ÂÒÚˉÂÒflÚ¢ÌÓÈ ÒËÒÚÂÏ˚ ÏÓ„ÛÚ ÔÓËÁ‚Ó‰ËÚ¸Òfl ˜ÂÚ˚ ÓÒÌÓ‚Ì˚ı
‡ËÙÏÂÚ˘ÂÒÍËı ‰ÂÈÒÚ‚Ëfl Ë ‚˚˜ËÒÎÂÌËfl Ò ËÒÔÓθÁÓ‚‡ÌËÂÏ Ô‡ÏflÚË.
12°39’18”05
→ [10]
N 12 o 39 o 18.05 o
12.65501389
@_
123.678 → [60]
123.678 @_
123°40’40.80
3˜30Ï45Ò +
6˜45Ï36Ò = [60]
3 o 30 o 45 o+ 6 o
10°16’21.00
45 o 36 o=
3˜45Ï –
1.69˜ = [60]
3 o 45 o- 1.69 =
2°03’36.00
@_
sin62°12’24” = [10]
s 62 o 12 o 24 o
0.884635235
=
–1
sinh x
ÑË̇Ï˘ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ
| x | ≤ 230.2585092
r=
x=6
y = 4 → θ = [°]
N 6 @, 4
@{[r ]
@≠[θ]
@≠[r ]
x=
r = 14
→
y=
θ = 36[°]
14 @, 36
@}[x]
@≠[y]
@≠[x]
7.211102551
33.69006753
7.211102551
11.32623792
8.228993532
11.32623792
ëíÄíàëíàóÖëäàÖ ÇõóàëãÖçàü
ç‡ÊÏËÚ Í·‚Ë¯Ë @ m 1 ‰Îfl ‚˚·Ó‡ ÂÊËχ
ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‰‡ÌÌ˚ı.
åÓ„ÛÚ ·˚Ú¸ ÔÓÎÛ˜ÂÌ˚ ÒÎÂ‰Û˛˘Ë ÒÚ‡ÚËÒÚ˘ÂÒÍË ‰‡ÌÌ˚Â:
x
sx
σx
n
Σx
Σx2
ë‰Ì Á̇˜ÂÌË ‚˚·ÓÍË (x ‰‡ÌÌ˚Â)
ë‰ÌÂÍ‚‡‰‡Ú˘ÂÒÍÓ ÓÚÍÎÓÌÂÌË ‚˚·ÓÍË (x ‰‡ÌÌ˚Â)
ë‰ÌÂÍ‚‡‰‡Ú˘ÂÒÍÓ ÓÚÍÎÓÌÂÌË ̇ÒÂÎÂÌËfl (x ‰‡ÌÌ˚Â)
äÓ΢ÂÒÚ‚Ó ˝ÎÂÏÂÌÚÓ‚ ‚˚·ÓÍË
ëÛÏχ ˝ÎÂÏÂÌÚÓ‚ ‚˚·ÓÍË (x ‰‡ÌÌ˚Â)
ëÛÏχ Í‚‡‰‡ÚÓ‚ ˝ÎÂÏÂÌÚÓ‚ ‚˚·ÓÍË (x ‰‡ÌÌ˚Â)
– 12 –
áÄåÖçÄ ÅÄíÄêÖÖä
ë˜ÂÚ
95
80
80
75
75
75
50
x=
σx=
Σx=
Σx2=
sx=
sx2=
@m1
95 k
80 k
k
75 § 3 k
50 k
R~
Rp
Rz
Rw
R£
@L=
0.
1.
2.
3.
6.
7.
75.71428571
12.37179148
530.
41200.
13.3630621
178.5714286
îÓÏÛÎ˚ ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‚˚˜ËÒÎÂÌËÈ
x = Σx
n
sx =
σx =
Σx2 – nx2
n–1
Σx2 – nx2
n
Σx = x1 + x2 + ··· + xn
Σx2 = x12 + x22 + ··· + xn2
(n: ÍÓ΢ÂÒÚ‚Ó ˝ÎÂÏÂÌÚÓ‚ ‚˚·ÓÍË)
– 13 –
0 ≤ r ≤ n ≤ 9999999999*
—– < 10100
n!
(n-r)!
äÓ„‰‡ ÒΉÛÂÚ Á‡ÏÂÌflÚ¸ ·‡Ú‡ÂÈÍË
Ç˚˜ËÒÎÂÌËfl:
0 ≤ r ≤ n ≤ 9999999999*
0 ≤ r ≤ 69
äÓ„‰‡ ÍÓÌÚ‡ÒÚÌÓÒÚ¸ ‰ËÒÔÎÂfl ÒÚ‡ÌÓ‚ËÚÒfl Ò··ÓÈ, ·‡Ú‡ÂÈÍË
ÌÂÓ·ıÓ‰ËÏÓ Á‡ÏÂÌËÚ¸.
n!
—– < 10100
(n-r)!
è‰ÓÒÚÂÂÊÂÌËÂ
x2
| x | < 1050
¿x
0 ≤ x < 10100
x–1
| x | < 10100 (x ≠ 0)
n!
0 ≤ n ≤ 69*
↔DEG, D°M’S
0°00’00.01 ≤ | x | < 10000°
x, y → r, θ
√ x2 + y2 < 10100
r, θ → x, y
0 ≤ r < 10100
DEG:
| θ | < 1010
π
10
RAD:
| θ | < —–
180 × 10
10
GRAD :
| θ | < ––
× 1010
9
DEG→RAD,
GRAD→DEG: | x | < 10100
RAD→GRAD: | x | < π– × 1098
2
• ï‡ÌËÚ ·‡Ú‡ÂÈÍË ‚ ÏÂÒÚ‡ı, ̉ÓÒÚÛÔÌ˚ı ‰Îfl ‰ÂÚÂÈ.
• Ç˚‡·ÓÚ‡‚¯Ë ҂ÓÈ ÂÒÛÒ ·‡Ú‡ÂÈÍË, ÓÒÚ‡‚ÎÂÌÌ˚ ‚
͇θÍÛÎflÚÓÂ, ÏÓ„ÛÚ ÔÓÚ˜¸ Ë Ôӂ‰ËÚ¸ ͇θÍÛÎflÚÓ.
• çÂÔ‡‚ËθÌÓ ӷ‡˘ÂÌË ÏÓÊÂÚ ÔË‚ÂÒÚË Í ÓÔ‡ÒÌÓÒÚË ‚Á˚‚‡.
• ŇڇÂÈÍË ‰ÓÎÊÌ˚ Á‡ÏÂÌflÚ¸Òfl ÚÓθÍÓ ‰Û„ËÏË Ó‰Ë̇ÍÓ‚Ó„Ó ÚËÔ‡.
• ç ·ÓÒ‡ÈÚ ·‡Ú‡ÂÈÍË ‚ Ó„Ó̸, Ú‡Í Í‡Í ÓÌË ÏÓ„ÛÚ ‚ÁÓ‚‡Ú¸Òfl.
èӈ‰ۇ Á‡ÏÂÌ˚
1. éÚÍβ˜ËÚ ÔËÚ‡ÌËÂ, ̇ʇ‚ Í·‚Ë¯Ë @ F.
2. éÒ‚Ó·Ó‰ËÚ ӷ‡ ‚ËÌÚ‡ Ë ÒÌËÏËÚ Í˚¯ÍÛ ·‡Ú‡ÂÂÍ. (êËÒ. 1)
êËÒ. 1
êËÒ. 2
* (n, r: ˆÂÎ˚Â)
– 16 –
3. 쉇ÎËÚ ËÒÔÓθÁÓ‚‡ÌÌ˚ ·‡Ú‡ÂÈÍË, ‡ Á‡ÚÂÏ Á‡ÏÂÌËÚ Ëı ‰‚ÛÏfl
ÌÓ‚˚ÏË ·‡Ú‡ÂÈ͇ÏË, ‡ÒÔÓÎÓÊË‚ Ëı Ú‡Í, ˜ÚÓ·˚
ÔÓÎÓÊËÚÂθÌ˚ ÒÚÓÓÌ˚ (+) ·˚ÎË Ó·‡˘ÂÌ˚ ‚‚Âı. (êËÒ. 2)
– 17 –
Ç ÙÓÏÛ·ı ÒÚ‡ÚËÒÚ˘ÂÒÍËı ‚˚˜ËÒÎÂÌËÈ ÏÓÊÂÚ ËÏÂÚ¸ ÏÂÒÚÓ
ӯ˷͇, ÍÓ„‰‡:
• ‡·ÒÓβÚÌÓ Á̇˜ÂÌË ÔÓÏÂÊÛÚÓ˜ÌÓ„Ó ÂÁÛθڇڇ ËÎË
ÂÁÛθڇڇ ‚˚˜ËÒÎÂÌËÈ ·Óθ¯Â ËÎË ‡‚ÌÓ 1 × 10100.
• Á̇ÏÂ̇ÚÂθ ‡‚ÂÌ ÌÛβ.
• Ô‰ÔËÌflÚ‡ ÔÓÔ˚Ú͇ ËÁ‚ΘÂÌËfl Í‚‡‰‡ÚÌÓ„Ó ÍÓÌfl ËÁ
ÓÚˈ‡ÚÂθÌÓ„Ó ˜ËÒ·.
ÑàÄèÄáéçõ éòàÅéä à ÇõóàëãÖçàâ
1 . é¯Ë·ÍË
é¯Ë·Í‡ ·Û‰ÂÚ ËÏÂÚ¸ ÏÂÒÚÓ, ÂÒÎË ÓÔ‡ˆËfl Ô‚˚¯‡ÂÚ ‰Ë‡Ô‡ÁÓÌ
‚˚˜ËÒÎÂÌËÈ, ËÎË ÂÒÎË Ô‰ÔËÌflÚ‡ ÔÓÔ˚Ú͇ Òӂ¯ÂÌËfl
χÚÂχÚ˘ÂÒÍË Ì‰ÓÔÛÒÚËÏÓÈ ÓÔ‡ˆËË. èË ÔÓfl‚ÎÂÌËË Ó¯Ë·ÍË
̇ʇÚË Í·‚˯ < (ËÎË >) ‡‚ÚÓχÚ˘ÂÒÍË ÔÂÂÏ¢‡ÂÚ
ÍÛÒÓ Ó·‡ÚÌÓ Í ÏÂÒÚÛ ‚ Û‡‚ÌÂÌËË, „‰Â ÔÓËÁӯ· ӯ˷͇.
Ç˚ÔÓÎÌËÚ ‰‡ÍˆË˛ Û‡‚ÌÂÌËfl (ÒÏ. ÒÚ. 4) ËÎË Ì‡ÊÏËÚ Í·‚˯Û
N ‰Îfl Ò·ÓÒ‡ Û‡‚ÌÂÌËfl.
3 . ÑˇԇÁÓÌ˚ ‚˚˜ËÒÎÂÌËÈ
• Ç Ô‰Â·ı ‰Ë‡Ô‡ÁÓÌÓ‚, Û͇Á‡ÌÌ˚ı ÌËÊÂ, ÚÓ˜ÌÓÒÚ¸ ‰‡ÌÌÓ„Ó
͇θÍÛÎflÚÓ‡ ÒÓÒÚ‡‚ÎflÂÚ ‰Ó ±1 ‚ ̇ËÏÂ̸¯ÂÈ Á̇˜‡˘ÂÈ ˆËÙÂ
χÌÚËÒÒ˚. èË ‚˚ÔÓÎÌÂÌËË ÔÓ‰ÓÎÊËÚÂθÌ˚ı ‚˚˜ËÒÎÂÌËÈ
(‚Íβ˜‡fl ÔÓÒΉӂ‡ÚÂθÌ˚ ‚˚˜ËÒÎÂÌËfl) ͇̇ÔÎË‚‡˛ÚÒfl
ӯ˷ÍË, ÔË‚Ó‰fl˘ËÂ Í ÛÏÂ̸¯ÂÌ˲ ÚÓ˜ÌÓÒÚË.
• ÑˇԇÁÓÌ˚ ‚˚˜ËÒÎÂÌËÈ
±10-99 ~ ±9.999999999×1099 Ë 0.
ÖÒÎË ‡·ÒÓβÚ̇fl ‚Â΢Ë̇ ‚‚‰ÂÌÌ˚ı ‰‡ÌÌ˚ı ËÎË ÓÍÓ̘‡ÚÂθÌÓ„Ó
ËÎË ÔÓÏÂÊÛÚÓ˜ÌÓ„Ó ÂÁÛθڇڇ ‚˚˜ËÒÎÂÌËfl ÏÂ̸¯Â, ˜ÂÏ 10–99,
Á̇˜ÂÌË ÔËÌËχÂÚÒfl ‡‚Ì˚Ï 0 ‚ ‚˚˜ËÒÎÂÌËflı Ë Ì‡ ‰ËÒÔÎÂÂ.
îÛÌ͈Ëfl
ÑË̇Ï˘ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ
DEG:
sin x, cos x,
tan x
RAD:
GRAD:
2 . äÓ‰˚ ӯ˷ÓÍ Ë ÚËÔ˚ ӯ˷ÓÍ
ëËÌÚ‡ÍÒ˘ÂÒ͇fl ӯ˷͇ (Error 1):
• Å˚· Ô‰ÔËÌflÚ‡ ÔÓÔ˚Ú͇ ‚˚ÔÓÎÌÂÌËfl ̉ÓÔÛÒÚËÏÓÈ ÓÔ‡ˆËË.
èËÏ. 2 @{
é¯Ë·Í‡ ‚˚˜ËÒÎÂÌËÈ (Error 2):
• Ä·ÒÓβÚÌÓ Á̇˜ÂÌË ÔÓÏÂÊÛÚÓ˜ÌÓ„Ó ËÎË ÓÍÓ̘‡ÚÂθÌÓ„Ó
ÂÁÛθڇڇ ‚˚˜ËÒÎÂÌËÈ ·Óθ¯Â ËÎË ‡‚ÌÓ 10100.
• Å˚· Ô‰ÔËÌflÚ‡ ÔÓÔ˚Ú͇ ‰ÂÎÂÌËfl ̇ 0.
• èË ‚˚ÔÓÎÌÂÌËË ‚˚˜ËÒÎÂÌËÈ ·˚ÎË Ô‚˚¯ÂÌ˚ ‰Ë‡Ô‡ÁÓÌ˚
‚˚˜ËÒÎÂÌËÈ.
é¯Ë·Í‡ „ÎÛ·ËÌ˚ (Error 3):
• Å˚ÎÓ Ô‚˚¯ÂÌÓ ‰ÓÒÚÛÔÌÓ ÍÓ΢ÂÒÚ‚Ó ·ÛÙÂÓ‚. (àÏÂÂÚÒfl ‚
̇΢ËË 8 ·ÛÙÂÓ‚* ‰Îfl ˜ËÒÎÂÌÌ˚ı Á̇˜ÂÌËÈ Ë 16 ·ÛÙÂÓ‚ ‰Îfl
‚˚˜ËÒÎËÚÂθÌ˚ı ËÌÒÚÛ͈ËÈ). *4 ·ÛÙ‡ ‚ ÂÊËÏ STAT.
ëÎ˯ÍÓÏ ‰ÎËÌÌÓ ۇ‚ÌÂÌË (Error 4):
• 쇂ÌÂÌË Ô‚˚¯‡ÂÚ Ï‡ÍÒËχθÌ˚È ·ÛÙ ‚‚Ó‰‡ (159 ÒËÏ‚ÓÎÓ‚).
쇂ÌÂÌË ‰ÓÎÊÌÓ ·˚Ú¸ ÍÓÓ˜Â, ˜ÂÏ 159 ÒËÏ‚ÓÎÓ‚.
| x | < 1010
(tan x : | x | ≠ 90 (2n–1))*
π × 1010
| x | < –––
180
(tan x : | x | ≠ π
– (2n–1))*
10 × 1010 2
| x | < —–
9
(tan x : | x | ≠ 100 (2n–1))*
sin–1x, cos–1x
|x|≤1
tan–1x, 3¿x
| x | < 10100
In x, log x
10–99 ≤ x < 10100
yx
• y > 0:
–10100 < x log y < 100
• y = 0:
0 < x < 10100
• y < 0:
1
x = n (0 < | x | < 1: x– = 2n–1, x ≠ 0)*,
–10100 < x log | y | < 100
• y > 0:
¿y
x
–10100 < 1x– log y < 100 (x ≠ 0)
• y = 0:
0 < x < 10100
• y < 0:
x = 2n–1
(0 < | x | < 1 : 1x– = n, x ≠ 0)*,
1
–10100 < x– log | y | < 100
100
< x ≤ 230.2585092
e
–10
10x
–10100 < x < 100
x
– 14 –
– 15 –
– 19 –
– 20 –
4. ìÒÚ‡ÌÓ‚ËÚ ̇ ÏÂÒÚÓ Í˚¯ÍÛ ·‡Ú‡ÂÂÍ Ë ‚ËÌÚ˚.
5. ç‡ÊÏËÚ ‚˚Íβ˜‡ÚÂθ RESET (̇ Á‡‰ÌÂÈ ÒÚÓÓÌÂ).
• ì·Â‰ËÚÂÒ¸ ‚ ÚÓÏ, ˜ÚÓ ‰ËÒÔÎÂÈ ÓÚÓ·‡ÁËÚÒfl Ú‡ÍËÏ, Í‡Í ÔÓ͇Á‡ÌÓ
ÌËÊÂ. ÖÒÎË ‰ËÒÔÎÂÈ Ì ÓÚÓ·‡Ê‡ÂÚÒfl Ú‡Í, Í‡Í ÔÓ͇Á‡ÌÓ,
ÔÂÂÛÒÚ‡ÌÓ‚ËÚ ·‡Ú‡ÂÈÍË Ë Ôӂ¸Ú ‰ËÒÔÎÂÈ Â˘Â ‡Á.
îÛÌ͈Ëfl ‡‚ÚÓχÚ˘ÂÒÍÓ„Ó ÓÚÍβ˜ÂÌËfl ÔËÚ‡ÌËfl
1 ≤ x < 1050
|x|<1
DRG |
X
[Ç‚Ó‰ ‰‡ÌÌ˚ı]
чÌÌ˚ k
чÌÌ˚ § èÓ‚ÚÓflÂÏÓÒÚ¸ k (ÑÎfl ‚‚Ó‰‡ ÏÌÓÊÂÒÚ‚
Ó‰Ë̇ÍÓ‚˚ı ‰‡ÌÌ˚ı)
[äÓÂÍÚËӂ͇ ‰‡ÌÌ˚ı]
äÓÂÍÚËӂ͇, Ô‰¯ÂÒÚ‚Û˛˘‡fl ̇ʇÚ˲ Í·‚Ë¯Ë k:
쉇ÎËÚ Ì‚ÂÌ˚ ‰‡ÌÌ˚ ÔË ÔÓÏÓ˘Ë Í·‚Ë¯Ë N.
äÓÂÍÚËӂ͇ ÔÓÒΠ̇ʇÚËfl Í·‚Ë¯Ë k:
ç‡ÊÏËÚ Í·‚Ë¯Û > ‰Îfl ÔÓ‰Ú‚ÂʉÂÌËfl ÔÓÒΉ̄Ó
‚‚Ó‰‡ Ë Ì‡ÊÏËÚ Í·‚Ë¯Ë @ J ‰Îfl Â„Ó Û‰‡ÎÂÌËfl.
çÂ̇‰ÎÂʇ˘Â ӷ‡˘ÂÌËÂ Ò ·‡Ú‡ÂÈ͇ÏË ÏÓÊÂÚ ‚˚Á‚‡Ú¸
ÔÓÚ˜ÍÛ ˝ÎÂÍÚÓÎËÚ‡ ËÎË ‚Á˚‚. é·flÁ‡ÚÂθÌÓ Òӷ≇ÈÚÂ
ÒÎÂ‰Û˛˘Ë ԇ‚Ë· Ó·‡˘ÂÌËfl:
• á‡ÏÂÌflÈÚ ӷ ·‡Ú‡ÂÈÍË Ó‰ÌÓ‚ÂÏÂÌÌÓ.
• ç Òϯ˂‡ÈÚ ÌÓ‚˚Â Ë ÒÚ‡˚ ·‡Ú‡ÂÈÍË.
• ì·Â‰ËÚÂÒ¸ ‚ ÚÓÏ, ˜ÚÓ ÌÓ‚˚ ·‡Ú‡ÂÈÍË ÒÓÓÚ‚ÂÚÒÚ‚Û˛Ú
̇‰ÎÂʇ˘ÂÏÛ ÚËÔÛ (LR44).
• èË ÛÒÚ‡ÌÓ‚Í ÓËÂÌÚËÛÈÚÂ Í‡Ê‰Û˛ ·‡Ú‡ÂÈÍÛ Ì‡‰ÎÂʇ˘ËÏ
Ó·‡ÁÓÏ, Í‡Í Û͇Á‡ÌÓ Ì‡ ͇θÍÛÎflÚÓÂ.
• ŇڇÂÈÍË ÛÒڇ̇‚ÎË‚‡˛ÚÒfl ̇ Á‡‚Ó‰Â-ËÁ„ÓÚÓ‚ËÚÂΠÔ‰
ÓÚÔ‡‚ÍÓÈ Ë ÏÓ„ÛÚ ‚˚‡·ÓÚ‡Ú¸ ÂÒÛÒ ‡Ì¸¯Â ‰ÓÒÚËÊÂÌËfl ÒÓ͇
ÒÎÛÊ·˚, Û͇Á‡ÌÌÓ„Ó ‚ ÚÂıÌ˘ÂÒÍËı ı‡‡ÍÚÂËÒÚË͇ı.
| x | < 10
tanh–1 x
nCr
θ
èÓÎflÌ˚ ÍÓÓ‰.
èËϘ‡ÌËfl ÔÓ Á‡ÏÂÌ ·‡Ú‡ÂÂÍ
50
cosh–1 x
nPr
0
• êÂÁÛÎ¸Ú‡Ú ‚˚˜ËÒÎÂÌËÈ ‡‚ÚÓχÚ˘ÂÒÍË ÒÓı‡ÌflÂÚÒfl ‚ Ô‡ÏflÚË X
Ë Y.
á̇˜ÂÌË r ËÎË x: Ô‡ÏflÚ¸ X
á̇˜ÂÌË θ ËÎË y: Ô‡ÏflÚ¸ Y
– 11 –
sinh x, cosh x,
tanh x
X
èflÏÓÛ„ÓθÌ˚ ÍÓÓ‰.
5
* 4 l5 l6 =4–6
îÛÌ͈Ëfl
x
P (r,θ )
4.641588834
1.25 + 2 \ 5 =
\
1.25 + –5 = [a.xxx]
r
_
y
0
Y
P (x,y)
ǂ‰ÂÌÌ˚ ‰‡ÌÌ˚ ı‡ÌflÚÒfl ‚ Ô‡ÏflÚË, ÔÓ͇ Ì ·Û‰ÛÚ Ì‡Ê‡Ú˚
Í·‚Ë¯Ë @ c ËÎË @ m 1. è‰ ‚‚Ó‰ÓÏ
ÌÓ‚˚ı ‰‡ÌÌ˚ı Ò·ÓÒ¸Ú ÒÓ‰ÂÊËÏÓ ԇÏflÚË.
чÌÌ˚È Í‡Î¸ÍÛÎflÚÓ ·Û‰ÂÚ Ò‡ÏÓÒÚÓflÚÂθÌÓ ÓÚÍβ˜‡Ú¸Òfl ‰Îfl
ÒÓı‡ÌÂÌËfl Á‡fl‰‡ ·‡Ú‡ÂÂÍ, ÂÒÎË ÌË Ó‰Ì‡ ËÁ Í·‚˯ ÌÂ
̇ÊËχ·Ҹ ‚ Ú˜ÂÌË ÔË·ÎËÁËÚÂθÌÓ 10 ÏËÌÛÚ.
íÖïçàóÖëäàÖ ïÄêÄäíÖêàëíàäà
ç‡Û˜Ì˚ ‚˚˜ËÒÎÂÌËfl, ÒÚ‡ÚËÒÚ˘ÂÒÍËÂ
‚˚˜ËÒÎÂÌËfl Ë Ú.‰.
ÇÌÛÚÂÌÌË ‚˚˜ËÒÎÂÌËfl:
å‡ÌÚËÒÒ˚ ‰Ó 12 ‡Áfl‰Ó‚
íÂÍÛ˘Ë ÓÔ‡ˆËË:
16 ‚˚˜ËÒÎÂÌËÈ 8 ˜ËÒÎÂÌÌ˚ı Á̇˜ÂÌËÈ
(4 ˜ËÒÎÂÌÌ˚ı Á̇˜ÂÌËfl ‚ ÂÊËÏÂ
STAT)
àÒÚÓ˜ÌËÍ ÔËÚ‡ÌËfl:
3Ç ... (èÓÒÚÓflÌÌÓ„Ó ÚÓ͇):
ôÂÎÓ˜Ì˚ ·‡Ú‡ÂÈÍË (LR44) × 2
èÓÚ·ÎÂÌË ˝Ì„ËË:
0,0006 ÇÚ
èÓ‰ÓÎÊËÚÂθÌÓÒÚ¸ ˝ÍÒÔÎÛ‡Ú‡ˆËË: èË·ÎËÁ. 2500 ˜‡ÒÓ‚
ÔË ÌÂÔÂ˚‚ÌÓÏ ÓÚÓ·‡ÊÂÌËË
Ë̉Ë͇ˆËË 55555. ÔË 25°C.
åÓÊÂÚ ËÁÏÂÌflÚ¸Òfl ‚ Á‡‚ËÒËÏÓÒÚË ÓÚ
ËÒÔÓθÁÓ‚‡ÌËfl Ë ‰Û„Ëı Ù‡ÍÚÓÓ‚.
ꇷӘ‡fl ÚÂÏÔ‡ÚÛ‡:
0°C – 40°C
Ç̯ÌË ‡ÁÏÂ˚:
71,5 ÏÏ (ò) × 124 ÏÏ (É) × 9,5 ÏÏ (Ç)
ÇÂÒ:
èË·ÎËÁ. 57 „ (ÇÍβ˜‡fl ·‡Ú‡ÂÈÍË)
èË̇‰ÎÂÊÌÓÒÚË:
ŇڇÂÈÍË × 2 (ÛÒÚ‡ÌÓ‚ÎÂÌ˚),
ÛÍÓ‚Ó‰ÒÚ‚Ó ÔÓ ˝ÍÒÔÎÛ‡Ú‡ˆËË, Ë
ÊÂÒÚÍËÈ ÙÛÚÎfl
– 18 –
