Casio Fx 3650P II 3650PII CN
User Manual: Casio fx-3650PII fx-3650P II | 计算器 | 说明书 | CASIO
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Page Count: 94

Ck-1
ኼӄ
ݮဩఀၭӊ DBTJP դ౹ă
• ᇀෳᅋդ౹ഋᆪڣᅋํடรă
• ഋटດүߘࠝLjჾӯࡍၖე෫෫Ըሙ ) үૠӄ
ᅋ *ă!
ᇀჾ࿒ཌሂნ৹ჾᆪڣᅋํடรă!
iuuq;00xxx/dbtjp/dpn/do0tvqqpsu0nbovbm0
kᇀฑ״ෳᅋӊࣜಹቐ ///
ෳᅋࣜಹቐLjटү৷ဂ࿒
ࡤڑԌട࿒Ljഹࡍटү৷߈ڊ
فࣜಹوҿஎLjᅚ༐ຑă
Aࣜಹෳᅋ༾ӛࡍ ///
ࣜಹوҿஎട࿒ү৷LjԌटದቺူໍᇀቁஎă
kࠨटࣜಹݒཛྷֽയෛኴຢ
ეෳࣜಹوහብ۵ባದֽയෛኴຢ෫Ljഋቖှ࿒ะ
ՃዷăഋኢᄌLjױՃዷࡱटഅׅ،ಹቲوຑᅘ൛DŽڢ
،ಹLjӰફ،ಹLjؖѦ،ಹLj༇ࣜࣜჅӊืয
ࣆ֔ၠืযDžă!
!9(CLR)3(All)w

Ck-2
kߔᅢӊํடร
• ӊᅋํடรቲوࡥஎࣆՏ༐DŽऒٌࣝࠟDž४ཛྷ۶ቐᅋLj
৹࢙ᅳದؠӹو෯࣠ᅘຑԥༀă
• ӊํடรቲو൛ᅘޚݢLjูԥှቌă
• ྩఛࣜࢲާ๖DŽDBTJP!Dpnqvufs!Dp/-!Mue/Džڶᅢᄜ
଼ࢪෳᅋӊդ౹ࣆದݛऔۚـቤࢪᄧಲوൌࠨ໎ผوĂ
ࣺेوĂݛوࢪߔوຈࠀԥݘൌࠨᇖൌăױ༶Lj
ྩఛࣜࢲާ๖DŽDBTJP!Dpnqvufs!Dp/-!Mue/Džڶᅢൌࠨٞ
ൻሣᄜෳᅋӊդ౹ࣆದݛऔຑᄧಲوൌࠨቸ੮وຏెԥ
ݘᇖൌă
Ѡഩၙቌ
• ഋटդ౹ĂҪኰԮүߘᇀᄬᅟۛྐۨࣆوٜ۽ă
危险
ӹ൲ྐญױӶ६ှྥՃዷLj৹ـቤᆗ
๘ཊࢪቺටཕوૅ॰ă
●ऄ၂٫֠ቲ־وფԥී൩Ⴇ෫Ljഋ࣊Գടჾ
࿒ؑă
2/!ԥე൞ႧLj࣊ᅋഅๆ֭࿄ă
3/!࣊টყተલă൲܅ൌԥߘLj৹࢙ᇒ֑டă

Ck-3
警告
ӹ൲ྐญױӶ६ှྥՃዷLj৹ـቤᆗ
๘ཊࢪݘቺටă
●ഋट٫֠ብᅢᄬᅟۛྐۨࣆوٜ۽ăཆქᄬᅟۛ
ԥීྥ෭Ljഋ࣊টყተલă
●٫֠ෳᅋ۽ۨؓྥ෫Lj࢙ᇒ֑٫֠ფـቤቾཙྍ
ຈࢪᇒ֑٫֠ಈઽـቤࢨᆼࢪᄌ༶ටࠀăᄜױഋႛ
ޏዱฒჾ࿒ă
• ഋኢᄌࣁ၂ ) LJࠧljوշဂ *Ljቁവኰ൩ă
• ഋྡྷෳᅋӊࢲಹསቚڊو٫֠ă
●ഋԥეڶ٫֠६ှ֬٫Ă՚ॖჾࣆದຓ࢙ـቤڮଁ
وൌࠨှཛྷă
●ഋྡྷटӊࢲಹࢪ٫ࣩ֠െࢪڌ൩ࢨቲăܱᇘ৹ෳ
ࢲಹಈઽـቤࢨᆼࢪᄌ༶ටࠀă
注意
ӹ൲ྐญױӶ६ှྥՃዷLj৹ـቤᆗ
ถටࣆྡ౹ຈටă
●ߔᅢಃு
• ഋྡྷᅋѢႅࢪቺࢯფॹಃăܱᇘფॹಃ
وԍઓ৹ಈઽLjـቤᄌ༶ටࠀă
• ფॹಃಈઽ෫Ljഋྡྷಃᄑ־وფă
• ԥීྥ෭ಃுᄑ־وფ෫LjᄮଷණุਊԌ࣊ট
ყተલă
• Ⴇॸࢪ౦ܴԥීेفಃுᄑ־وფ෫Ljഋ࿘ᅋ
അๆ֭࿄ባඵ 26 ܖትჾණLjഹࡍ࣊টყተલă

Ck-4
Ճዷၙቌ
• 即使计算器运行正常,也应至少每三年 (LR44 (GPA76))
更换一次电池。
ছ٫֠৹࢙ფLjۚڶࣜಹᇒ֑ຈࠀԌෳದդ
ූ߆ሓăഋྡྷटছ٫֠ჯૠᇀࣜಹቲă٫֠༾ഩୣ
ᅘ٫෫Ljഋྡྷᆿฎ༐ෳᅋࣜಹă
• 配备的电池在运输和存放期间可能会产生轻微放电。因
此,更换时间可能会比正常电池寿命结束时间要早。
• 请勿对本产品使用镍氢电池 * 或任何其他使用镍作为材
料的电池。电池和产品规格不兼容可能会导致电池寿命
缩短并使产品发生故障。
• 电池电力不足会造成存储内容损坏或完全丢失。请务必
保留所有重要数据的书面记录。
• 请避免在超出温度极限、湿度过高和灰尘过多的区域使
用和存放计算器。
• 切勿过度撞击、挤压或弯曲计算器。
• 请勿尝试拆卸计算器。
• 请使用柔软的干布清洁计算器的外部。
• 无论何时丢弃计算器或电池,请确保遵循您所在地区的
法律和法规要求。
• 请务必将所有用户文件妥善保管以便日后需要时查阅。
+!ӊฐՋቲෳᅋوާ๖ࠧդ౹ண֎৹กޕޔާ๖ࠧդ౹
ຑᅘሣوኢՋඨӶࢪඨӶă

Ck-5
ଆ
ኼӄ!////////////////////////////////////////////////////////////////////2
Ѡഩၙቌ!////////////////////////////////////////////////////////////////////3
Ճዷၙቌ!////////////////////////////////////////////////////////////////////5
ᇀ६ှࣜቐ ///!/////////////////////////////////////////////7
ࣜனࠧහብ!/////////////////////////////////////////////////////////9
ࠧืوพ൩!///////////////////////////////////////////////////22
ࢱӊࣜ!//////////////////////////////////////////////////////////////////27
ࣜઈࣆՓᆪ!///////////////////////////////////////////////////////31
ࣜಹو،ಹՃዷ!///////////////////////////////////////////////32
৶ၳࠉืࣜ!//////////////////////////////////////////////////////////37
ࠨෳᅋ 214!ޠၳࣝืۨDŽFOHDž!///////////////////////////4:
ݒืࣜDŽDNQMYDž!/////////////////////////////////////////////////51
༇ࣜࣜDŽTE0SFHDž!/////////////////////////////////////////////////55
ࢱืࣜDŽCBTFDž!//////////////////////////////////////////////////// 74
֔ၠனDŽQSHNDž!///////////////////////////////////////////////////78
ݛଆ!////////////////////////////////////////////////////////////////////////// 92
٫ᆚეഓ!//////////////////////////////////////////////////////////////////99
ߢޏ!////////////////////////////////////////////////////////////////////////// 9:

Ck-6
ᇀ६ှࣜቐ ///
kࣜಹوࢲ
ѢOăࣜಹट६൩ණ״ߔࢲ෫وࣜன)ٞ9ო*ă
AಃڶӔڪوٻॎ
߷ࡥஎණوዖܻௗჾഅLjഋٻॎಃوڶӔڪă
2/!Ѣ !N)TFUVQ*db)Dpousbtu*ă
• ױ෫ڶӔڪٻॎࡥஎ࢙־ă
3/!ᅋ d!ࠧ e!ٻॎಃوڶӔڪă
4/!හڊ༾ӛࡍLjѢ A!ࢪ !p)FYJU*ă
ኢ
صѢ ,!ऒ־وࣜனԵة෫Ljఀࡱ৹ჾෳᅋ
+!ࠧ -!ٻॎڶӔڪă
ቺეƽ
࣯ٻሿಃڶӔڪLjԌསݢජ৹ڣ၂Ljᇘ࠶ᅘ৹
ก٫ԥăഋޚࡳ٫֠ă
Aࣜಹوߔࢲ
Ѣ!A)PGG*ă
ߔӡࣜಹو٫ᆚࡍLj࿒઼ืযԥ࢙ڌă!
• ࣜனࠧහብDŽٞ 9 ოDž
• ؖѦ،ಹDŽٞ 32 ოDžĂڢ،ಹDŽٞ 34 ოDžĂჾࣆ
Ӱફ،ಹDŽٞ 35 ოDžቲوืয
L I GHT DARK
CASIO

Ck-7
kऒӶࣝ
M– M
DT CL
ALOGIC
x
!
8
ޢ Ⴁඇ ࠨቖှݡޢ
1M+ ! Ѣױऒă
2M– ྲྀዖ ǖዘࡾඇ Ѣ !!!ࡍѢױऒă
3Mྲྀዖ ǖࡆඇ Ѣ a!!ࡍѢױऒă
4DT ྲྀዖ ǖඇ ᇀ TE ࢪ SFH னቲLjѢױऒă
5CL ྲྀዖ ǖዘࡾඇ
ਢǖඇ
ᇀ TE ࢪ SFH னቲLj
Ѣ!!!ࡍѢױऒă
6 ∠ ྲྀዖ ǖዘࡾඇ
ਢǖዏඇ
ᇀ DNQMY னቲLjѢ !!!
ࡍѢױऒă
7Aྲྀዖ ǖࡆඇ
ਢǖଖඇ
Ѣa!!ࡍѢױऒDŽӰફ BDžă
ᇀ CBTF னቲLjѢױऒă
8LOGIC ྲྀዖ ǖଖඇ ᇀ CBTF னቲLjѢױऒă
kࡥஎ
Aพ൩ӹؕԌࣜॕ߷
ӊࣜಹ৹ᇀༀქޔࡥஎණༀ෫ఀพ൩وӹؕࣆࣜ
ॕ߷ă
! พ൩ӹؕ
! ࣜॕ߷
2×
(
5+4
)
–2×-3
24

Ck-8
Aܻࠟ
־ᇀࣜಹಃණو࿒ะܻࠟӹᇀوࣜனLj
ࣜಹوහብࣆࣜ߹ٌ֔ăᇀӊํடรቲLjĐಶđქ
װᅋᅢӹქޔܻࠟ־ᇀࡥஎණLjۚĐॖׅđქװᇘӹ
ದဋă
సӫو۶ࡥஎӹ 7!ܻࠟă!
ࣜனࠧහብ
kࣜனوၭᇗ
ӊࣜಹޮᅘቸĐࣜனđă
2/!!Ѣ ,ă
• ࣜனԵة־ă
• ࣜனԵةᅘޔࡥஎăѢ ,!६ှၭࡳăෳᅋ
dࠧeნ৹ၭࡳԵةࡥஎă
COMP CMPLX BASE
1 2 3
SD REG PRGM
4 5 6
3/!!ቖှ࿒ะՃዷቐქၭᇗຑၖეوࣜனă
b!)DPNQ*;!DPNQDŽᆱDž c!)DNQMY*;!DNQMYDŽݒืDž
d!)CBTF*;!CBTFDŽࢱ!ื!*e!)TE*;!TEDŽةӰફ༇ࣜDž
f!)SFH*;!SFHDŽใӰફ༇ࣜDž
g!)QSHN*;!QSHNDŽ֔ၠDž
• Ѣ bባgوืዖऒ৹ၭᇗᄮனLjྐଥ
وԵةࡥஎཛྷࠨă

Ck-9
kࣜಹහብ
ࣜಹහብ৹ᅋᅢైብพ൩ࠧพ־හڊĂࣜԸืࣆದຓ
හڊăහብ৹ෳᅋහብࡥஎ६ှైብLjѢ !,)TFUVQ*
ऒ৹܃ོහብࡥஎăޮᅘޔහብࡥஎLjᅋ dࠧe৹
ᇀದࣺ६ှၭࡳă
Aऻڪةوቚڊ
:1˚!>! 3
π
Ċ
!࡙ڪ!>!211 ҇ܖڪ
ऻڪة ቖှױऒՃዷ ǖ
ڪ!,!
b!)Efh*
࡙ڪ !,!
c!)Sbe*
҇ܖڪ !,!
d!)Hsb*
Aืوቚڊ
ቚื ቖှױऒՃዷ ǖ
ဏืื !,!
e!
b!)Gjy*a!)1* ባ!
j!):*
ᅘပื !,!
e!
c!)Tdj*b!)2* ባ!
j!):*-!a!)21*
ቚื۶ཙ !,!
e!
d!)Opsn*b!)Opsn2*!ࢪ
c!)Opsn3*
࿒எढ़මࣜॕ߷กࠨޗযఀቚڊوහڊ६ှوă!
• ޗযఀቚڊوဏืืDŽGjyDžفগဏืăࣜ
ॕ߷Ӈල൩فቚڊوဏืืණă
۶ઋ ǖ!
100 ÷ 7 = 14.286 (Fix = 3)

Ck-10
• ᅋ Tdj ቚڊષᅘပืࡍLjࣜॕ߷ෳᅋᅘပืࣆ 21
ืوᄮ֓۽६ှăࣜॕ߷Ӈල൩فቚڊو
ืණă
۶ઋ ǖ! 1 ÷ 7 = 1.4286 × 10–1 (Sci = 5)
• ၭᇗ Opsn2 ࢪ Opsn3 ࡍLjصࣜॕ߷ᇀ࿒۶ཙቐ෫Lj
ದटჾቚืࣝืۨă
Norm1: 10–2 > 앚x앚, 앚x앚 > 1010
Norm2: 10–9 > 앚x앚, 앚x앚 > 1010
۶ઋ ǖ!
1 ÷ 200 = 5. × 10–3 (Norm1) 0.005 (Norm2)
Aܖืြوቚڊ
ܖืြ ቖှױऒՃዷ ǖ
؞ܖื !,!
ee!
b!)bc0d*
࣯ܖื !,!
ee!
c!)e0d*
Aݒืြوቚڊ
ݒืြ ቖှױऒՃዷǖ
ቓऻዸӶ !,!
eee!
b!) a !, b !
i !*
ࣁዸӶ !,!
eee!
c!) r !
∠ !
!*
A༇ࣜ౷ଔوහڊ
౷ଔහڊ ቖှױऒՃዷǖ
౷ଔಶ !,!
dd!
b!)GsfrPo*
౷ଔॖׅ !,!
dd!
c!)GsfrPgg*

Ck-11
kࣜனࠧහብوഅׅ
ቖှ࿒ะՃዷ৹അׅوࣜனࣆຑᅘහብLjԌटࣜ
ಹֽࡧཛྷ࿒ైብă!
ࣜன!///////////////////////////DPNQDŽᆱனDž
ऻڪة!///////////////////////////EfhDŽڪDž
ቚื!///////////////////////////Opsn2
ܖืြ!///////////////////////////bc0d!DŽ؞ܖืDž
ݒืြ!///////////////////////////a,bi!DŽቓऻዸӶDž
౷ଔහڊ!///////////////////////////GsfrPoDŽ౷ଔಶDž
ቖှ࿒ะऒՃዷ৹അׅࣜனࣆහብă
!9(CLR)2(Setup)w
ԥഅׅࣜಹوහڊ෫LjഋᇀණะՃዷቲѢ A!ۚԥѢ
wă
ࠧืوพ൩
kوพ൩
ӊࣜಹ৹ဃฐဢქჅพ൩LjԌѢ wቖှăࣜಹ
ዔڑৈڊࣩۨĂऋۨĂ֓ۨĂׅۨĂࠉืࣆਸ਼ࠟوቁവᅍ
࿘๋ၠă
۶ઋ ǖ!2 × (5 + 4) – 2 × (–3) =
2*(5+4)-
2*-3w
2×
(
5+4
)
–2×-3
24

Ck-12
A؞ਸ਼ࠟ৶ၳࠉืوพ൩ )tjo-!dpt-!'LjٌDž
ӊࣜಹ৹พ൩࿒઼؞ਸ਼ࠟو৶ၳࠉืăഋኢᄌLjᇀพ൩
ԸืࡍLjӤၙѢ )ߔӡਸ਼ࠟă
sin(, cos(, tan(, sin
–1 (, cos
–1 (, tan
–1 (, sinh(, cosh(, tanh(,
sinh
–1 (, cosh
–1 (, tanh
–1 (, log(, ln(,
e ^(, 10^(,
' (,
3
' (,
Abs(, Pol(, Rec(, arg(, Conjg(, Not(, Neg(, Rnd(, ∫(,
d/dx(
۶ઋ ǖ!sin 30 =
s30)w
sin
(
30
)
05
A֓ࠟوෛଞ
֓ࠟ৹ჾᇀ࿒ะഉਦ࿒ෛଞă
• ᇀਸ਼ࠟቐǖ3!ġ!)6!,!5*
• ᇀ؞ਸ਼ࠟو৶ၳࠉืቐǖ3!ġ!tjo)41*-!3!ġ!')4*
• ᇀብܻࠟDŽҪਸ਼ݘࠟDžቐǖ3!ġ!i234
• ᇀӰફணĂիืࢪࢲืቐǖ31!ġ!B-!3!ġ!π
ቺეƽ
߷ቖှҪࠆׅۨᆱࠧෛଞ֓ࠟو֓ۨᆱوࣜLjᇘ
࢙࿒எو۶ઋຑዔڑՏ൩ਸ਼ࠟă
• ෛଞਸ਼ࠟቐࢪߔਸ਼ࠟቐࡍو֓ࠟ෫ă
6 ÷ 2 (1 + 2) p 6 ÷ (2 (1 + 2))
6 ÷ A (1 + 2) p 6 ÷ (A (1 + 2))
1 ÷ (2 + 3) sin(30) p 1 ÷ ((2 + 3) sin(30))

Ck-13
• ෛଞӰફĂիืٌቐو֓ࠟ෫ă
6 ÷ 2π p 6 ÷ (2π)
2 ÷ 2'(2) p 2 ÷ (2'(2))
4π ÷ 2π p 4π ÷ (2π)
• พ൩ෳᅋڜࠟوࠉืDŽઋ QpmĂSfdDž෫LjഋྣӤพ൩
ӹؕຑეഓوߔਸ਼ࠟă߷ԥพ൩ߔਸ਼ࠟLjᇘ৹ྐ
ۨණຑะዔڑՏ൩ਸ਼ࠟă
Aዮࡍوߔਸ਼ࠟ
ᇀѢ w!ऒቐوዮࡍوߔਸ਼ࠟ৹ჾෛଞქޔჾණă!
۶ઋ ǖ!(2 + 3) × (4 – 1) = 15
(2+3)*
(4-1w
(
2+3
)
×
(
4–1
15
Aࡥஎوዳᅚিڑ
พ൩ӹؕ 12345 + 12345 + 12345
وӹؕ
345+12345+12345I
ߞӶ
• صb!ܻࠟ־ᇀࡥஎණ෫Lj৹ჾෳᅋ d!ऒဂዳჰڑ
ߞӶԌিڑࡥஎă
• ဂዳিڑ࢙ෳӹؕوქԩܖᄑ־ࡥஎوᅚՊLjױ෫ \!
ܻ࢙ࠟ־ᇀᅚՊăص \!ܻࠟ־ᇀࡥஎණ෫Lj৹ჾෳ
ᅋe!ऒဂᅚჰڑߞӶԌিڑࡥஎă
• ఀࡱ৹ჾѢ f!ባӹؕو་LjࢪѢ c!ባயཤă

Ck-14
Aพ൩وዖܻืDŽዖॎDž
صఀพ൩ืၳӹؕ෫Ljದटү،ᇀ֎ཛྷĐพ൩ഘđو،
ഘቲLjױพ൩ഘو൛ફཛྷ :: ዖॎăნটกํLjᇀქޔ
ืၳӹؕቲዮۂพ൩ :: ዖॎوዖܻă
իLjӹصพ൩ብوߞӶᇀࡥஎණඝڑཛྷዝDŽ
|
Dž
ࢪ࠻DŽ
!
*ăصพ൩ഘوෝᅨ൛ફඵᅢ 21 ዖॎ෫LjߞӶ
टӰཛྷඝڑو۽ਙDŽ
k
*ă
ױቸഉਦۢූ෫Ljഋᇀคصوብቛพ൩صوӹؕ
Ԍࣜದॕ߷ă!
kࣜوӬࣃ
AՏ൩னࠧݐݥன
ӊࣜಹᅘቸพ൩னăՏ൩னᇀߞӶብՏ൩ఀพ
൩وዖܻLjԌटߞӶᅚՊوຑᅘዖܻဂᅚჰჾ໐־ਅࣺă
ݐݥனटఀพ൩وዖܻණဢᇀߞӶብوዖܻණă!
ᆓӹؕ Ѣ +
Տ൩ன 1+2
|
34
ߞӶ
1+2+
|
34
ݐݥன 1+2 3 4
ߞӶ
1+2 + 4!
ֽയෛพ൩னහڊཛྷՏ൩னă
ეݢӰཛྷݐݥன෫LjഋѢ 1D)JOT*ă

Ck-15
Aݳพ൩وऒՃዷوӬࣃ
۶ઋ ǖ!ეޚቁ!47:!ġ!24!ෳದӰཛྷ!47:!ġ!23!෫
369*13
369×13I
D2
369×12I
AऒՃዷوකׅ
۶ઋ ǖ!ეޚቁ!47:!ġġ!23!ෳದӰཛྷ!47:!ġ!23!෫
Տ൩ன
369**12
369××12I
ddD
369×I12
ݐݥன
369**12
369××12
dddD
369×12
AӹؕቲऒՃዷوӬࣃ
ᇀՏ൩ன࿒Ljᅋ d!ࠧ e!टߞӶჰڑባఀეӬࣃو
ऒՃዷوᅚՊLjѢ D!टದකׅLjഹࡍቖှቁവوऒՃዷă
ᇀݐݥன࿒LjटߞӶჰڑባఀეޚቁوऒՃዷብLjഹ
ࡍቖှቁവوऒՃዷă!
AࠨᇀӹؕቲՏ൩ऒՃዷ
ეᇀӹؕቲՏ൩ऒՃዷ෫ӤၙၭᇗՏ൩னăᅋ d!ࠧ
e!टߞӶჰڑባეՏ൩ऒՃዷوብLjഹࡍ६ှऒՃዷă!

Ck-16
kؓྥብوՓሖ
߷ԥቁവLjصఀѢ w!ቖှ෫Ljؓྥဳྲट־
ᇀࡥஎණăؓྥဳྲ־ࡍLjѢ d!ࢪ e!ऒ৹ෳߞ
ӶባቲդූؓྥوብLjჾӯఀޚቁă!
۶ઋ ǖ!!صఀეพ൩ 25!Ģ!21!ġ!3!>Ljലพ൩ષ 25!Ģ!1!ġ!
3!> ෫
DŽ࿒ઋෳᅋՏ൩னăDž
14/0*2w
Mat h ERROR
e!ࢪ d
14÷0I×2
ؓྥብ
d1w
14÷10×2
28
ࢱӊࣜ
ׅ܇ှኢடLjӊॎढ़මوࣜ৹ᇀࣜಹوൌࠨࣜன
ቲ६ှLjد CBTF னׅ༶ă
kᇘᆱ
ᇘᆱ৹ᅋᅢ६ှࣩDŽ+*-!ऋ )-*-!֓ )**-!ׅ )/*
ࣜă
۶ઋ ǖ!7 × 8 − 4 × 5 = 36
7*8-4*5w
36

Ck-17
kܖื
ܖืෳᅋቚڊوܖޒܻ ){*พ൩ă
Aܖืࣜ۶ઋ
۶ઋ 2ǖ
3
1
4 + 1 2
3 = 4 11
12
3$1$4+
1$2$3w
4
{
11
{
12
۶ઋ 3ǖ
2
3 + 1
2 = 7
6!DŽܖืြ ǖe0d*
2$3+1$2w
7
{
6
ኢ
• ߷ܖืࣜॕ߷ޕԩܖDŽሿื , ܖዓ , ܖா , ܖޒܻDž
وዜืմ߹ 21 Ljࣜॕ߷टჾဏืြă
• ߷พ൩وࣜཛྷܖืᅳဏืوࢤࠩࣜLjࣜॕ߷
टჾဏืြă
• ܖืوޕԩܖቝพ൩ሿืăพ൩܇ሿืटդූဏืြ
وࣜॕ߷ă!
A؞ܖืြᅳ࣯ܖืြࣺوӰࡳ
ეट؞ܖืӰࡳཛྷ࣯ܖืDŽࢪट࣯ܖืӰࡳཛྷ؞ܖืDž෫Lj
ഋѢ !$)e0d*ă
AဏืြᅳܖืြࣺوӰࡳ
Ѣ$৹ᇀဏืᅳܖืြቐࣺӰࡳă
ኢ
߷ܖืޕԩܖDŽሿื , ܖዓ , ܖா , ܖޒܻDžوዜื
մ߹ 21 LjᇘࣜಹԥဏืြӰࡳཛྷܖืြă

Ck-18
k҇ܖӔࣜ
พ൩ქޔืࡍพ൩҇ܖࠟ )&* ৹ෳݡืӰཛྷ҇ܖืă
A҇ܖӔࣜ۶ઋ
۶ઋ 2ǖ
2 % = 0.02 (! 2
100 )
2!((%)w
002
۶ઋ 3ǖ
150 × 20% = 30 (150 × 20
100 )
150*20
!((%)w
30
۶ઋ 4ǖ
771 ก 991 و҇ܖቐ࣎Ǜ
660/880
!((%)w
75
۶ઋ 5ǖ
ट 3-611 ᇜࣩ 26&ă
2500+2500*
15!((%)w
2875
۶ઋ 6ǖ
ट 4-611 ऋඵ 36&ă
3500-3500*
25!((%)w
2625
۶ઋ 7ǖ
ट 279-!:9 ࣆ 845 وࠧऋඵ 31&ă
168+98+734w
1000
-G*20!((%)w
800

Ck-19
۶ઋ 8ǖ
ट 411 ৻ࣩባՌฎჅӊᆓቺو 611 ৻ණLjهف 911
৻وዮቷՌฎჅӊă611 ৻و҇ܖቐ࣎ก 911 ৻Ǜ
(500+300)
/500!((%)w
160
۶ઋ 9ǖ
صื 51 ᇜࣩف 57 ෫LjӰࡧଔཛྷۂඵǛ
(46-40)/40
!((%)w
15
kڪܖஓDŽ෨६ቨDžࣜ
A෨६ቨืوพ൩
࿒எढ़මพ൩෨६ቨืوࢱӊশۨă!
|ڪ~!
$!|ܖ~!
$!|ஓ~!
$
۶ઋ ǖ!ეพ൩ 3°41´41˝෫
2$30$30$w
2˚30˚30˚
2˚30˚30
• ഋኢᄌLjڪࣆܖӤၙพ൩ᅘืLj࣊ෳದཛྷă!
A෨६ቨࣜ۶ઋ
࿒઼੮ျو෨६ቨࣜटդූ෨६ቨوࣜॕ߷ă
• ޔ෨६ቨืوࣩۨࢪऋۨ
• ෨६ቨืᅳ෨६ቨืو֓ۨࢪׅۨ
۶ઋ ǖ!3°31´41˝!,!4:´41˝!>!4°11´11˝
2$20$30$+
0$39$30$w
3˚0˚0

Ck-20
A෨६ቨᅳ෨६ቨࣺوࡳ
صࣜॕ߷෫LjѢ $!৹ᇀ෨६ቨᅳ෨६ቨࣺࡳ
ืă!
۶ઋ ǖ!ეट 3/366 ࡳཛྷ෨६ቨ෫
2.255w$
2˚15˚18
ࣜઈࣆՓᆪ
ࣜઈүૠᅘఀ६ှوޕࣜوࣝଆLjದቲҪਸ਼ఀพ
൩وӹؕࣆࣜॕ߷ăࣜઈ৹ᇀ DPNQ-!DNQMY ࣆ
CBTF னቲෳᅋă!
kࣜઈو܃ོ
ࡥஎᅚණऻණو!`!ܻࠟӹࣜઈቲү،ᅘืযăე
Փᆪࣜઈቲوืয෫LjഋѢ făѢ f!टဂණDŽဂࡍDž
িڑࣜLjༀ෫ࣆದॕ߷ă!
۶ઋ ǖ!1+1w2+2w3+3w
3+3
6
f
2+2
4
f
1+1
2
িڑࣜઈࣝଆ෫Lj$!ܻࠟट־ᇀࡥஎණLjದӹ
صࣜو࿒எᅘDŽृူوDžࣝଆăصױܻࠟಶ෫LjѢ
c!৹ဂ࿒DŽဂDžিڑࣜઈࣝଆă
ቺეƽ
• Ѣp෫LjݢӰࣜன෫LjࢪቖှൌࠨݒՃዷ෫Lj
ࣜઈࣝଆटӇഩԩഅׅă

Ck-21
• ࣜઈو൛ફกᅘوăصࣜઈ჻ୄ෫Lj६ှူ
وࣜटෳࣜઈቲዮছوࣝଆዔڑӇකׅLjჾཛྷူ
ࣜ໐־ਅࣺă
kՓᆪޢوෳᅋ
صࣜઈࣝଆᇀࡥஎණ෫LjѢ d!ࢪ e!ߞ
ӶԌ६൩ӬࣃனăѢ e!৹ෳߞӶᇀو་־Lj
ۚѢ d!৹ෳߞӶᇀوயཤ־ă६ှ༾ӛຑၖეو
ӰޚࡍLjѢ w!ቖှࣜă
۶ઋ ǖ!4 × 3 + 2.5 = 14.5
4 × 3 – 7.1 = 4.9
4*3+2.5w
4×3+2.5
145
d
4×3+2.5I
DDDD-7.1w
4×3–7.1
49
ࣜಹو،ಹՃዷ
kؖѦ،ಹDŽBotDžوෳᅋ
ఀᇀࣜಹණ६ှوူوქ״ࣜوॕ߷टዔڑӇү،ᇀ
ؖѦ،ಹDŽBotDžቲă
ABot ޚူࠧකׅو෫ࢲ
ᇀࣜቲෳᅋ Bot ෫Ljࣝኡದ൛กࠨ෫ჾࣆࠨݢӰو
࠶ቺეăഋኢᄌ࿒઼࣎٧ă!

Ck-22
• صఀ६ှ࿒ะൌࠨՃዷ෫LjBot ቲو൛࢙Ӈޚူǖෳᅋ
ࣜॕ߷६ှࣜLjᇀڢ،ಹቲࣩ൩ืࢪದቲ
ऋണืLjཛྷӰફݑࢪӰફቲٻ־ืLjᇀ TE ன
ࢪ SFH னቲพ൩༇ࣜืযă
• ᇀ࢙դූქޔჾණࣜॕ߷وࣜቲDŽዸӶٌࣜDžLj
ฑ࿘־ᇀࡥஎණوॕ߷࢙Ӈү،ᇀ Bot ቲă
• ߷صوࣜ־ષؓྥLjᇘ Bot و൛ԥ࢙ݢӰă
• ᇀ DNQMY னቲ६ှݒืࣜ෫Ljॕ߷و෯ืԩࠧၗื
ԩڞटӇү،ᇀ Bot ቲăدഋኢᄌLj߷ఀݢӰባದຓ
ࣜனLjᇘืوၗืԩटӇഅׅă!
AࠨᇀઘၦࣜቲዔڑՏ൩ Bot
۶ઋ ǖ!ეट 4!ġ!5 وࣜॕ߷ׅჾ 41 ෫
3*4w
12
DŽഹࡍDž/30w
Ans÷30
04
Ѣ/!৹ዔڑพ൩ Botă
ኢ
ڶᅢ؞ᅘਸ਼ࠟԸืوࠉืDŽٞ 23 ოDžLjصఀቝพ൩ࠉืࡍ
Ѣw෫LjBot ԯዔڑӰཛྷԸืă

Ck-23
AࠨᇀࣜቲฐڑՏ൩ Bot
۶ઋ ǖ!ეᇀದຓࣜቲෳᅋ 234!,!567 وࣜॕ߷෫Lj६
ှ࿒ຑՃዷ!
123 + 456 = 579 789 – 579 = 210
123+456w
579
789-Kw
210
kڢ،ಹوෳᅋ
ڢ،ಹ )N* ኙეᅋᅢࣜ੩ࢵዜࠧă
ࡥஎණ־ N ܻࠟ෫Ljӹڢ،ಹቲ،ᅘ܇وืă
ڢ،ಹ৹ᇀׅ TE னࠧ SFH னቐ༶وຑᅘࣜன
ቲෳᅋă
Nܻࠟ
10M+
Aࠨᇀڢ،ಹቲࣩ൩ื
صఀพ൩وืࢪࣜॕ߷ᇀࡥஎණ෫LjѢ m!৹ट
ݡืࣩ൩ڢ،ಹ )N* ቲă!
۶ઋ ǖ!ეट 216!Ģ!4 وࣜॕ߷ࣩ൩ڢ،ಹ )N* ቲ෫
105/3m
35

Ck-24
Aࠨڢ،ಹऋണื
صఀพ൩وืࢪࣜॕ߷ᇀࡥஎණ෫LjѢ
1m)Nlj* ৹ڢ،ಹ )N* ऋണݡืă
۶ઋ ǖ!ეڢ،ಹ )N* ऋണ 4!ġ!3!وࣜॕ߷෫
3*21m(M–)
6
ኢ
صࣜॕ߷ᇀࡥஎණ෫LjѢ m!ࢪ 1m)Nlj* ৹
टݡืࣩ൩ڢ،ಹቲࢪڢ،ಹऋണݡืă
ቺეƽ
ᇀࣜॕา෫Ѣ m!ࢪ 1m)Nlj*!DŽۚԥѢ wDž෫־
ᇀࡥஎණوืཛྷࣜॕ߷DŽݡॕ߷टӇࣩ൩ڢ،
ಹLjࢪڢ،ಹऋണݡॕ߷Džăದԥกڢ،ಹቲ
ᇀү،وืযă
Aڢ،ಹ൛وՓᆪ
Ѣtm)N*ă
Aࠨഅׅڢ،ಹቲوืযDŽባ 1Dž
01t)TUP*m)N*
അׅڢ،ಹटෳ N ܻࠟဋă!
kӰફوෳᅋ
ӊࣜಹӄᅘணཛྷ BĂCĂDĂEĂY ࣆ Z وޔӰફLj৹
ᇀၖე෫ᅋᅢү،ืăӰફ৹ᇀຑᅘࣜனቲෳᅋă

Ck-25
Aࠨटืࢪࣜॕ߷ݑޖӰફ
ഋෳᅋ࿒ะՃዷटืࢪࣜݑޖӰફă
۶ઋ ǖ!ეट 4!,!6 ݑޖӰફ B ෫
3+51t)TUP*-)B*
AࠨՓݑޖӰફوื
ეՓݑޖӰફوื෫LjഋѢ t!ࡍቚڊӰફணă
۶ઋ ǖ! ეՓݑޖӰફ B وื෫!!!!!!!!!!t-)B*
AࠨᇀࣜቲෳᅋӰફ
ఀ৹ჾဃෳᅋืქჅᇀࣜቲෳᅋӰફă
۶ઋ ǖ! ეࣜ 6!,!B ෫!!!!!!!!!!5+a-)B*w
AࠨഅׅӰફቲوืDŽባ 1Dž
۶ઋ ǖ! ეഅׅӰફ B ෫!!!!!!!!!!01t)TUP*-)B*
kࠨഅׅຑᅘ،ಹቲو൛
ეഅׅڢ،ಹĂӰફ،ಹჾࣆؖѦ،ಹቲو൛
෫Ljഋቖှ࿒ะऒՃዷă!
19(CLR)1(Mem)w
• ԥഅׅࣜಹوහڊ෫LjഋᇀණะՃዷቲѢ A!ۚԥ
Ѣwă

Ck-26
৶ၳࠉืࣜ
ׅ܇ှኢடLjӊॎቲढ़මوࠉื৹ᇀࣜಹوൌࠨࣜ
னቲෳᅋLjد CBTF னׅ༶ă!
৶ၳࠉืࣜၙቌ
• ६ှࠆᅘՂ৶ၳࠉืوࣜ෫Ljࣜॕ߷৹࢙ၖე
ქဗ෫ࣺԯ࢙־ăቓفࣜॕ߷־ཛྷቛLjഋԥე६
ှൌࠨऒՃዷă
• ეቲڱቁᇀ६ှوࣜ෫LjഋѢ Aă
ߔᅢ৶ၳࠉืوশۨ
• ؠӹࠉืԸืوྲྀዖਸ਼ᇀؙਸ਼ࠟ )|!~* ቲăԸืիཛྷ | ื
~ࢪ|ӹؕ~ă
• صؙਸ਼ࠟ )|!~* و༶எᅞਸ਼ᅘᆘਸ਼ࠟ෫Ljದӹᇀᆘਸ਼ࠟ
พ൩وຑᅘোཛྷதă
kᆘቾଔ )π* ࠧዔഹڶืوٛ e
ӊࣜಹ৹ჾᇀࣜቲพ൩ᆘቾଔ )π* ࠧዔഹڶืوٛ eă
π!ࠧ e!৹ჾᇀຑᅘனቲෳᅋLjد CBTF னׅ༶ă࿒
ཛྷӊࣜಹޕՂիืوă
π = 3.14159265358980 (1e(π))
e = 2.71828182845904 (Si(e))

Ck-27
kൻऻࠧ۴ൻऻࠉื
Aশۨࠧพ൩
sin({n}), cos({n}), tan({n}), sin–1({n}), cos–1({n}),
tan–1({n})
۶ઋ ǖ!sin 30 = 0.5, sin–10.5 = 30DŽऻڪةǖEfh*
s30)w
05
1s(sin–1)0.5)w
30
Aኢ
• ቝეԸืསෳᅋݒืLjሦဗࠉืڞ৹ᇀ DNQMY னቲෳ
ᅋăઋLj৹ჾ६ှሦჅوࣜ ǖ
i!ġ!tjo)41*-!دԥ৹६ှሦჅوࣜ ǖtjo)2!,!iDžă
• ᇀࣜቲၖეෳᅋوऻڪةกၭᇗཛྷയෛوऻڪ
ةă!
kऻڪةӰࡳ
ఀ৹ჾटᅋქቸऻڪةพ൩وืӰࡳཛྷქቸऻڪة
ăพ൩ืࡍLjѢ 1G)ESH'* ࿒Եةࡥஎă
!1(D):!ڪ
!2(R):!࡙ڪ
!3(G):!҇ܖڪ
DRG
312

Ck-28
۶ઋ ǖ!ეट!!π
3!࡙ڪӰࡳཛྷڪ෫DŽऻڪة ǖEfh*
(1e(π)/2)
1G(DRG')2(R)E
(
π
÷2
)
r
90
kใചࠧ۴ใചࠉื
Aশۨࠧพ൩
sinh({n}), cosh({n}), tanh({n}), sinh–1({n}), cosh–1({n}),
tanh–1({n})
۶ઋ ǖ!sinh 1 = 1.175201194
ws(sinh)1)E
1175201194
Aኢ
• Ѣw!ቚڊใചࠉืࢪѢ 1w!ቚڊ۴ใചࠉื
ࡍLjѢ s-!cࢪtă
• ሦဗࠉื৹ჾᇀ DNQMY னቲෳᅋLjدԸืԥෳᅋݒ
ืă

Ck-29
kቚืࠧڶืࠉื
Aশۨࠧพ൩
10^({n}) ........... 10{n}
e^({n}) ............. e{n}
log({n}) ............ log10{n} DŽիᅋڶืDž
log({m},{n}) ...... log{m}{n} )ჾ{m}ཛྷٛوڶื *
ln({n}) .............. loge{n} DŽዔഹڶืDž
۶ઋ 2ǖ! log216 = 4, log16 = 1.204119983
l2,16)E
4
l16)E
སቚڊٛ෫ӹჾ 21 ཛྷٛDŽիᅋڶืDžă!
۶ઋ 3ǖ
ln 90 (loge 90) = 4.49980967
I90)E
449980967
lo
g(
16
)
1204119983

Ck-30
k֓۽ࠉืࠧ֓۽ޗࠉื
Aশۨࠧพ൩
{n} x2 ............... {n}2 )౿۽*
{n} x3 ............... {n}3 )۽*
{n} x–1 .............. {n}–1 )ؽื*
{(m)}^({n}) ....... {m}{n} )֓۽*
'({n}) ........... {n} ) ౿۽ޗ *
3'({n}) .......... 3 {n} ) ۽ޗ *
({m})x'({n}) ... {m} {n} DŽ֓۽ޗDž
۶ઋ 2ǖ
(
'
2 + 1) ('
2 – 1) = 1
(92)+1)
(92)-1)E
(
'
(
2
)
+1
)(
'
(
2
)
–1
)
1
۶ઋ 3ǖ
–2
2
3 = –1.587401052
-2M2$3)E
–2
ˆ
(
2{3
)
-
1587401052
Aኢ
• ࠉื x3-!x4ࣆx−2!৹ᅋᅢ DNQMY னቲوݒืࣜăݒ
ืوܸऻნ৹ჾෳᅋሦဗࠉืă
• _)-!')-!4')-!x') ნ৹ჾᇀ DNQMY னቲෳᅋLjدݒ
ืوܸऻԥෳᅋሦဗࠉืă

Ck-31
kዸӶӰࡳDŽቓऻዸӶ ↔ࣁዸӶDž
ӊࣜಹ৹ჾᇀቓऻዸӶࠧࣁዸӶቐࣺ६ှӰࡳă
o
o
! ቓऻዸӶ )Sfd*! ࣁዸӶ )Qpm*
Aশۨࠧพ൩
ቓऻዸӶӰࡳཛྷࣁዸӶ )Qpm*
Pol(x, y)
xǖቓऻዸӶ x
yǖቓऻዸӶ y
ࣁዸӶӰࡳཛྷቓऻዸӶ )Sfd*
Rec(r, )
rǖࣁዸӶ r
ǖࣁዸӶ
۶ઋ 2ǖ! ეटቓऻዸӶ )'
3-!'
3!* ӰࡳཛྷࣁዸӶ෫!DŽऻڪة
ǖEfh*
1+(Pol)92)
,92))E
2
DŽՓ و *
t,(Y)
45

Ck-32
۶ઋ 3ǖ! ეटࣁዸӶ )3-!41˚* ӰࡳཛྷቓऻዸӶ෫DŽऻڪةǖ
Efh*
1-(Rec)2,
30)E
1732050808
DŽՓ yو *
t,(Y)
1
Aኢ
• ሦဗࠉื৹ჾᇀ DPNQLjTE ࣆ SFH னቲෳᅋă
• ࣜॕ߷ቝӹٞქޔ r!ࢪ x!ă
• ࣜॕ߷و!rDŽࢪ xDžӇݑޖӰફ YLjۚ DŽࢪ
yDžӇݑޖӰફ ZDŽٞ 36 ოDžăეՓ DŽࢪ yDž෫Lj
ഋݑޖӰફ Z وืLj۶ઋຑă
• ቓऻዸӶӰࡳཛྷࣁዸӶ෫Lj!و۶ཙཛྷ –291°< <
291°ă
• ᇀࣜ६ှዸӶӰࡳ෫LjࣜಹෳᅋዸӶӰࡳդූ
وٞქޔื )rࢪ xDžă
۶ઋ ǖ!Qpm!)'
3-!'
3!*!,!6!>!3!,!6!>!8

Ck-33
kࢵܖࣜࠧཔܖࣜ
Aࢵܖࣜ
ӊࣜಹԳᅋݽ๑-৻ନنۨ६ှࢵܖᆱă
শۨࠧพ൩
∫ ( f(x), a, b, tol)
!
f(x);!Y وࠉืDŽพ൩Ӱફ Y ຑෳᅋوࠉืăDž
!a;!ࢵܖഘᅺو࿒
!b;!ࢵܖഘᅺوණ
!tol;!ާ۶ཙ
•!ݡԸื৹ჾෛଞăᇀሦቸഉਦ࿒Ljटෳᅋ!
2!×!21−6!وާă
۶ઋ ǖ!In(x)=1
1
∫e
fIa0(X))
,1,aI(e))E
∫
∫
(
In
(
X
)
,1,e
)
1

Ck-34
Aཔܖࣜ
ӊࣜಹޗযቲဲܖۨࣜ॰ـืă
শۨࠧพ൩
d/dx( f(x), a, tol)
!
f)x*;!Y وࠉืDŽพ൩Ӱફ Y ຑෳᅋوࠉืăDž
!a;!พ൩ຑၖཔܖ࿅ืو٧DŽཔܖ٧Džو
!tol;!ާ۶ཙ
• ݡԸื৹ჾෛଞăᇀሦቸഉਦ࿒Ljटෳᅋ
2!×!21−21 وާă
۶ઋ ǖ!ეࢩهࠉื!y!>!tjo)x*ᇀ٧x >!π
2!وـื
DŽऻڪة ǖSbeDž
1f(d/dx)sa0(X)),
1e(π)/2)E
d/ dx
(
sin
(
X
)
,
π
π
÷2
)
0
Aࢵܖࣜࠧཔܖࣜوኢᄌ
• ४৹ᇀ!DPNQ!னࠧ QSHN னDŽᆱှன ǖDPNQDžቲ
ቖှࢵܖࣜࠧཔܖࣜă!
• ᇀ!f)x* ቲԥ৹ෳᅋჾ࿒ܻࠟ ǖ!QpmĂSfdăᇀ!f)x*ĂaĂb!
ࢪ!tol!ቲԥ৹ෳᅋჾ࿒ܻࠟ ǖ!∫Ăd0dxă
• ᇀ!f)x*!ቲෳᅋൻऻࠉื෫Ljഋट!Sbe!ቚڊཛྷऻڪةă
• tol!ᆣဏLjॽവڪट࢙ᆣݽLjدሦༀ෫ნ࢙႟լࣜ෫
ࣺăቚڊ!tol!෫Ljഋቚڊؙᅢࢪٌᅢ!2!×!21−25!وă

Ck-35
४คᅋᅢࢵܖࣜوኢᄌ
• իLjࢵܖࣜၖეصլو෫ࣺԯ༾֑ă
• ڶᅢ!f)x*! 1Ljದቲ!a x b ) ઋLj∫0
1!4x3 – 3Ǚ–2*Lj
ࣜॕ߷टཛྷݘă
• ޗয!f)x*!و൛ࠧࢵܖഘᅺLjᅘ৹࢙ූ֑մ־ާو
ࣜؓྥLjـቤࣜಹؓྥဋྲă
४คᅋᅢཔܖࣜوኢᄌ
• ߷སพ൩!tol!টሖԥفڶქޔॖوฏઞLjtol!टዔڑ
ٻሿLjჾവڊ־ॖă
• ܇ઘၦ٧Ă༏ӰԒڑĂࣁؙࢪࣁဏ٧Ăߑ٧ჾࣆԥཔ
ܖو٧Ljࢪሣഗ॰!1!وཔܖ٧ࢪཔܖࣜॕ߷৹࢙
ـቤࣜॽവڪ࠶ࢪ־ؓă
A֑ޢࢵܖ࣒ࣜ೩
߷ቾಜࠉืࢪࢵܖഘࣺդූቁݘ!f
)x*!ࠉื
ഋܖӼཛྷ୧ޔቾಜةڢࢵܖLjࢪሣܖӼཛྷቁืԩܖࠧݘื
ԩܖةڢࢵܖLjഹࡍࠩԌॕ߷ă
S 正数
S 负数
∫
a
c f(x)dx +
∫
c
b f(x)dx
正数部分
(S 正数)
负数部分
(S 负数)

Ck-36
߷ᅑᅢࢵܖഘࣺ౷۱ӰڑۚـቤࢵܖԒڑ
࠶ؙ
टࢵܖഘࣺܖཛྷۂޔԩܖ ) टԒڑ࠶ؙوഘᅺܖཛྷ൲ݧဏ
ԩܖ *Ljڶ୧ޔԩܖቖှࢵܖLjഹࡍࠩԌॕ߷ă
kದຓࠉื
x !, Abs(, Ran#,
n P
r ,
n C
r , Rnd(
x"-!nQrࣆnDr!ࠉื৹ჾᇀ DNQMY னቲෳᅋLjدԸืԥ
ෳᅋݒืă!
Aो֓ )"*
শۨ ǖ
{n}!!){n}Ӥၙกქޔዔഹืࢪ 1ă*
۶ઋ ǖ!(5 + 3)!
(5+3)
1X(x!)E
40320
a
b f(x)dx = a
x1
f(x)dx + x1
x2
f(x)dx +.....
∫∫∫
x4
b
f(x)dx
∫
+

Ck-37
Aڶ )Bct*
६ှ෯ืࣜ෫Ljᅋ Bct) ৹هفქґوڶăױࠉื
৹ᇀ DNQMY னቲෳᅋLjࣜݒืوڶDŽؙဏDžăᅘ
ߔഉഋԸᆪٞ 51 ოණوĐݒืࣜđქॎă
শۨ ǖ
Abs({n})
۶ઋ ǖ!Abs (2 – 7) = 5
1)(Abs)2-7)E
5
Aࢲื )Sbo$*
ױࠉืդූൻဏื )1/111 ባ 1/:::* وལࢲืăᅑᅢದ
ԥၖეԸืLjຑჾ৹ჾဃӰફქჅෳᅋă
শۨ ǖ
Ran#
۶ઋ ǖ!ეෳᅋ 2111Sbo$ ടهൻޔ 4 ืوࢲื෫ă
10001.(Ran#)E
287
E
613
E
118
• ණื४ཛྷ۶ቐᅋăױࠉื෯࣠դූوื࢙ԥༀă

Ck-38
A઼ )nQr*!0 ዩࠩ )nDr*
শۨ ǖ
{n}P{m}, {n}C{m}
۶ઋ ǖ!ڶᅢქޔ 21 وዩLj5 ޔو઼ࠧዩࠩޕᅘۂ
ඵቸǛ
101*(nPr)4E
5040
101/(nCr)4E
210
Aල൩ࠉื )Soe*
߹टืLjӹؕࢪࣜॕ߷ቚڊཛྷԸืLjఀ৹ჾෳᅋ
ල൩ࠉื )Soe* ڶದ६ှල൩ăල൩ࠉืޗযืහ
ڊटืල൩ባᅘပืă
Opsn2 ࢪ Opsn3 وල൩
ཤืӇල൩ባ 21 ืă
Gjy ࢪ Tdj وල൩
ืӇල൩ባቚڊوืă
۶ઋ ǖ!200 ÷ 7 × 14 = 400
DŽ4 ဏืDž
DŽԩࣜෳᅋ
26 ืăDž
1Ne1(Fix)3
200/7E
28571
*14E
400000

Ck-39
ᇀෳᅋල൩ࠉื )Soe* ६ှༀوࣜă
DŽࣜෳᅋॿල൩
وืăDž
200/7E
10(Rnd)E
28571
DŽල൩ॕ߷Dž *14E
399994
ࠨෳᅋ 214!ޠၳࣝืۨDŽFOHDž
ޠၳࣝืۨ )FOH* ჾქޔ2ባ21ቐࣺوቁืᅳქޔ 21 و
4 ״۽و֓ࢵӹืăޮᅘቸޠၳࣝืۨLjFOH/!ࠧ
FOH,ă
DNQMY னԥ֞ޠၳࣝืۨوෳᅋă
kFOH ࣜ۶ઋ
۶ઋ 2ǖ! ეෳᅋ FOH/ჾޠၳࣝืۨӹ 2345 ෫
1234E
1234
W
1234
03
W
1234
00
۶ઋ 3ǖ
ეෳᅋ FOH,ჾޠၳࣝืۨӹ 234 ෫
123E
123
1W(,)
0123
03
1W(,)
0000123
06

Ck-40
ݒืࣜDŽDNQMYDž
ე६ှᇀӊॎቲढ़මو۶Ճዷ෫Ljฑ࿘ၭᇗ DNQMY ዷ
ཛྷࣜனă
kݒืوพ൩
Aࠨพ൩ၗื )i*
۶ઋ ǖ!ეพ൩ 3!,!4i෫
2+3W(i)
2+3iI
AࠨෳᅋࣁዸӶြพ൩ݒื
۶ઋ ǖ!ეพ൩ 6!∠!41 ෫
51-(∠)30
5 30I
ቺეƽ!
พ൩ܸऻ ෫Ljഋޗযࣜಹصوയෛऻڪةහڊพ
൩ӹऻڪوืă
kݒืࣜॕ߷و
صࣜդූݒืॕ߷෫LjS⇔I!ܻࠟᇀࡥஎوᅚණऻLj
Ԍೲ෯ืԩฑ࿘־ăეयໜ෯ืԩࣆၗืԩ෫Ljഋ
Ѣ1E)Sf⇔Jn*ă

Ck-41
۶ઋ ǖ!ეพ൩ 3!,!2i!Ԍದࣜॕ߷෫
1,(SETUP)eee1(a+bi)
2+W(i)E
2+i
2
෯ืԩă
1E(Re⇔Im)
1
ၗืԩă
)i!ܻࠟᇀၗืԩ߹֔ቲ־ă*
Aݒืࣜॕ߷وയෛြ
ఀ৹ჾၭᇗቓऻዸӶြࢪࣁዸӶြݒืࣜॕ
߷ă
a
ba + bir
⬔
oo
ၗืኃ
ቓऻዸӶ ࣁዸӶ
෯ืኃ෯ืኃ
ၗืኃ
ഋᅋහብࡥஎቚڊຑၖეوയෛြăᅘߔഉLjഋ
ԸᆪĐݒืြوቚڊđქॎDŽٞ 21 ოDžă

Ck-42
kࣜॕ߷۶ઋ
AቓऻዸӶြDŽa,bi*
1,(SETUP)eee1(a+bi)
۶ઋ 2ǖ
2 × ('
3 + i) = 2'
3 + 2i = 3.464101615 + 2i
2*(93)+W(i))E
3464101615
1E(Re⇔Im)
2
۶ઋ 3ǖ
'
2 į 45 = 1 + 1i
DŽऻڪة ǖEfh*
92)1-(į)
45E
1
1E(Re⇔Im)
1
AࣁዸӶြDŽr∠*
1,(SETUP)eee2(rį)
۶ઋ 2ǖ
2 × ('
3 + i) = 2'
3 + 2i = 4 į 30
2*(93)+W(i))E
4
1E(Re⇔Im)
30
∠!ܻࠟᇀ ෫־ă
۶ઋ 3ǖ
1 + 1i = 1.414213562 į 45DŽऻڪة ǖEfh*
1+1W(i)E
1414213562
1E(Re⇔Im)
45

Ck-43
kޮᦊݒื )Dpokh*
۶ઋ ǖ!ഓ 3!,!4iوޮᦊݒื
1,(Conjg)2+3W(i))E
2
1E(Re⇔Im)
-
3
kڶܸࠧऻ )Bct-!bsh*
۶ઋ ǖ!
ࠨഓه 3!,!3iوڶܸࠧ
ऻDŽऻڪة ǖEfh*
b
= 2
a
= 2
o
ၗืኃ
෯ืኃ
ڶǖ
1)(Abs)2+2W(i))E
2828427125
ܸऻǖ
1((arg)2+2W(i))E
45

Ck-44
kയෛݒืြوӰޚ
AࠨཛྷࣜቚڊቓऻዸӶြ
ᇀࣜوயཤพ൩ 1-)'a,biDžă
۶ઋ ǖ!2'
2 į 45 = 2 + 2i!DŽऻڪة ǖEfh*
292)1-(į)45
1-('a,bi)E
2
1E(Re⇔Im)
2
AࠨཛྷࣜቚڊࣁዸӶြ
ᇀࣜوயཤพ൩ 1+)'r∠Džă
۶ઋ ǖ!2 + 2i = 2'
2 į 45 = 2.828427125 į 45
DŽऻڪة ǖEfh*
2+2W(i)
1+('rį)E
2828427125
1E(Re⇔Im)
45
༇ࣜࣜDŽTE0SFHDž
k༇ࣜࣜჅӊืয
AჅӊืযوพ൩
ྐଥ༇ࣜ౷ଔกಶ )GsfrPo* ࡱกॖׅ )GsfrPgg*Ljఀڞ৹
ჾพ൩Ⴥӊืযăӊࣜಹوֽയෛහڊཛྷ GsfrPoăఀ

Ck-45
৹ჾෳᅋහብࡥஎණو༇ࣜ౷ଔහڊDŽٞ 21 ოDžੂၭᇗ
ຑၖეوพ൩۽ۨă
Aืযوพ൩ืڪ
พ൩وืযوዮؙืც౷ଔกಶ )GsfrPo* ࡱก
ॖׅ )GsfrPgg* ۚԥༀă!
TE!ன!////////// 51!!)GsfrPo*-!91!!)GsfrPgg*
SFH!ன!//////// 37!!)GsfrPo*-!51!!)GsfrPgg*
AჅӊืযوഅׅ
ݢӰባದຓࣜனࢪݢӰ༇ࣜ౷ଔහڊ෫Lj،ಹቲو
ຑᅘჅӊืযোटӇഅׅă
kࠨ६ှةӰફ༇ࣜࣜ
ე६ှᇀӊॎቲढ़මو۶Ճዷ෫Ljฑ࿘ၭᇗ TE ዷཛྷࣜ
னă!
AჅӊืযوพ൩
౷ଔಶDŽGsfrPoDž
࿒எढ़මพ൩ዩื x1-!x2-!///!xnLjࣆ౷ଔ Gsfr2-!Gsfr3-!///!
Gsfrn෫ຑၖეوऒՃዷă
{x1}1,(;) {Freq1}m(DT)
{x2}1,(;) {Freq2}m(DT)
{xn}1,(;) {Freqn}m(DT)
ኢ
߷ዩืو౷ଔቝᅘქޔLjᇘቝეѢ |xn~m)EU* พ൩
ӯ৹DŽԥၖეቚڊ౷ଔDžă

Ck-46
۶ઋ ǖ!ࠨพ൩ᅚӫوืয ;!)x-!Gsfr*!>!)35/6-!5*-!)36/6-!7*-!
)37/6-!3*
24.51,(;)4
24
.
5
;
4I
0
m(DT)
Line
=
1
m)EU* ቌࣜಹױཛྷٞქޔืযوயཤă
25.51,(;)6m(DT)
26.51,(;)2m(DT)
Line
=
3
౷ଔॖׅ )GsfrPgg*
ᇀሦቸഉਦ࿒Ljഋ࿒ຑܖӼพ൩ޕืযă
{x1}m(DT) {x2}m(DT) ... {xn}m(DT)
AࠨՓᆪᇀوჅӊืয
Ⴥӊืযพ൩༾ӛࡍLjѢ c!৹ცఀพ൩و๋ၠၭࡳืযă
$!ܻࠟӹࡥஎණᇀوჅӊو࿒எࡱᅘืযăۚ!
`!ܻࠟӹණஎࡱᅘืযă!
۶ઋ ǖ!ࠨՓᇀٞ 56 ოණĐჅӊืযوพ൩đქॎቲ
พ൩وืযDŽ౷ଔහڊ ǖGsfrPo*
Ac
x 1=
245
c
Fre
q
1 =
4

Ck-47
ص༇ࣜ౷ଔහڊཛྷ GsfrPo ෫Ljืযც࿒๋ၠ ǖ
x1-!
Gsfr2-!x2-!Gsfr3- ცױ੮༚ăص༇ࣜ౷ଔහڊཛྷ GsfrPgg ෫Lj
ืযც x1-!x2-!x3- و๋ၠăఀࡱ৹ჾෳᅋ f!۴۽ဂ
ၭࡳืযă!
AჅӊืযوӬࣃ
ეӬࣃჅӊืয෫Ljഋटದٻ־Ljพ൩ူืLjഹࡍѢ Eă
۶ઋ ǖ!ࠨӬࣃᇀٞ 56 ოණĐჅӊืযوพ൩đქॎቲ
พ൩وჅӊืযĐGsfr4đ
Af
Fre
q
3 =
2
3E
Fre
q
3 =
3
AჅӊืযوකׅ
ეකׅჅӊืয෫Ljഋटದٻ־LjഹࡍѢ 1m)DM*ă
۶ઋ ǖ!ࠨකׅᇀٞ 56 ოණĐჅӊืযوพ൩đქॎቲ
พ൩وĐx2đืয
Accc
x 2=
255
1m(CL)
Line
=
2

Ck-48
ኢ
• ࿒எढ़මකׅՃዷࡍࡥஎوืয൛ă
ቐ ቐࡍ
x !
1!;!35/6 Gsfr2;!5 ! x !
1!;!35/6 Gsfr2;!5
x !
2!;!36/6 Gsfr3;!7 x !
2!;!37/6 Gsfr3;!3
x !
3!;!37/6 Gsfr4;!3 ဂණჰă !
• ص༇ࣜ౷ଔහڊཛྷಶ )GsfrPo* ෫Ljᄮو xืযࠧ౷
ଔืযڶटӇකׅă
AࠨකׅຑᅘჅӊืয
ቖှ࿒ะऒՃዷ৹කׅຑᅘჅӊืযă
19(CLR)1(Stat)E
ԥකׅຑᅘჅӊืয෫LjഋᇀණՃዷቲѢ ALjۚ܇
Eă
Aෳᅋพ൩وჅӊืযو༇ࣜࣜ
ე६ှ༇ࣜࣜ෫Ljഋพ൩ᄮوதԌѢ Eă
ATE ன༇ࣜதԸ৬
x2!11)T.TVN*1
ഓჅӊืযو౿۽ࠧă
Σx2 = Σxi2
x!11)T.TVN*2
ഓჅӊืযوዜࠧă
Σx = Σxi

Ck-49
n!11)T.TVN*3
ഓჅӊืă
¯x!12)T.WBS*1
ഓ౿োă
oΣxi
n
=
σx!12)T.WBS*2
ഓዜӶኼ౭ă
σxn
=Σ(xi – o)2
sx!12)T.WBS*3
ഓჅӊӶኼ౭ă
sxn – 1
=Σ(xi – o)2
minX!12)T.WBS*e1
ഓჅӊوዮဏă
maxX!12)T.WBS*e2
ഓჅӊوዮؙă

Ck-50
kࠨ६ှใӰફ༇ࣜࣜ
ე६ှᇀӊॎቲढ़මو۶Ճዷ෫Ljฑ࿘ၭᇗ SFH ዷཛྷࣜ
னă
Aߥࣜوቸ੮
୧״६൩ SFH னࡍLjఀӤၙၭᇗეෳᅋوߥࣜوቸ
੮ă!
ߥࣜቸ੮وၭᇗ
2/!६൩ SFH னă
• ױ෫ࡥஎߥࣜوֽၭᇗԵةăԵةޮᅘ
ޔࡥஎLjᅋ d!ࠧ e!৹ᇀದࣺ६ှၭࡳă
3/!ቖှ࿒ะՃዷቐქၭᇗຑၖეوߥࣜă
ეၭᇗױߥ੮ျ෫ǖ Ѣױऒǖ
၂ߥ!(y = a + bx)1!)Mjo*
ڶืߥ!(y = a + bInx)2!)Mph*
e !!ቚืߥ!(y = aebx)3!)Fyq*
֓۽ߥ!(y = axb)4!)Qxs*
௬ߥ!(y = a + b/x)e!
1!)Jow*
۠״ߥ!(y = a + bx + cx2)e!
2!)Rvbe*
ab!!ቚืߥ!(y = abx)e!
3!)BC.Fyq*
ኢ
ၖე෫Ljఀ৹ჾᇀ SFH னቲࡳཛྷದຓߥࣜ੮ျă
Ѣ12)T.WBS*3)UZQF* ৹ᇀණะٞ 2 ԧቲढ़ම
وԵةࡥஎăഋቖှණะՃዷԧኊၭᇗຑၖეوߥࣜ
ቸ੮ă

Ck-51
AჅӊืযوพ൩
౷ଔಶDŽGsfrPoDž
࿒எढ़මพ൩ዩื )x1-!y1*Lj)x2-!y2*Lj///!)xn-!yn*Ljࣆ౷
ଔ Gsfr2-!!Gsfr3-!///!Gsfrn෫ຑၖეوऒՃዷă
{x1},{y1}1,(;) {Freq1} m(DT)
{x2},{y2}1,(;) {Freq2} m(DT)
{xn},{yn}1,(;) {Freqn} m(DT)
ኢ
߷ዩืو౷ଔቝᅘქޔLjᇘቝეѢ |xn~,|yn~
m)EU*!พ൩ӯ৹DŽԥၖეቚڊ౷ଔDžă!
౷ଔॖׅ )GsfrPgg*
ᇀሦቸഉਦ࿒Ljഋ࿒ຑܖӼพ൩ޕืযă
{x1},{y1} m(DT)
{x2},{y2} m(DT)
{xn},{yn} m(DT)
AࠨՓᆪᇀوჅӊืয
Ⴥӊืযพ൩༾ӛࡍLjѢ c!৹ცఀพ൩و๋ၠၭࡳืযă
$!ܻࠟӹࡥஎණᇀوჅӊو࿒எࡱᅘืযăۚ
`!ܻࠟӹණஎࡱᅘืযă
ص༇ࣜ౷ଔහڊཛྷ GsfrPo ෫Ljืযც࿒๋ၠ ǖ
x1Lj
y1LjGsfr2Ljx2Ljy2LjGsfr3Ljცױ੮༚ăص༇ࣜ౷ଔහڊཛྷ
GsfrPgg ෫Ljืযც x1Ljy1Ljx2Ljy2Ljx3Ljy3Ljو๋ၠă
ఀࡱ৹ჾෳᅋ f!۴۽ဂၭࡳืযă

Ck-52
AჅӊืযوӬࣃ
ეӬࣃჅӊืয෫Ljഋटದٻ־Ljพ൩ူืLjഹࡍѢ Eă
AჅӊืযوකׅ
ეකׅჅӊืয෫Ljഋटದٻ־LjഹࡍѢ 1m)DM*ă
AࠨකׅຑᅘჅӊืয
ഋԸᆪĐࠨකׅຑᅘჅӊืযđDŽٞ 59 ოDžă
Aෳᅋพ൩وჅӊืযو༇ࣜࣜ
ე६ှ༇ࣜࣜ෫Ljഋพ൩ᄮوதԌѢ Eă
ASFH ன༇ࣜதԸ৬
ዜࠧࣆჅӊืத )T.TVN Եة *
x2!11)T.TVN*1
ഓჅӊืয xو౿۽ࠧă
Σx2 = Σxi2
x!11)T.TVN*2
ഓჅӊืয xوዜࠧă
Σx = Σxi
n!11)T.TVN*3
ഓჅӊืă
y2!11)T.TVN*e1
ഓჅӊืয yوዜࠧă
Σy2 = Σyi2

Ck-53
y!11)T.TVN*e2
ഓჅӊืয yوዜࠧă
Σy = Σyi
xy!11)T.TVN*e3
ഓჅӊืয xࠧyو֓ࢵࠧă
Σxy = Σxiyi
x2y!11)T.TVN*d1
ഓჅӊืয xو౿۽ᅳ yو֓ࢵوዜࠧă
Σx2y = Σxi2yi
x3!11)T.TVN*d2
ഓჅӊืয xو۽ࠧă
Σx3 = Σxi3
x4!11)T.TVN*d3
ഓჅӊืয xو״۽ࠧă
Σx4 = Σxi4
౿োࠧӶኼ౭தDŽWBS ԵةDž
¯x!12)T.WBS*1)WBS*1
ഓჅӊืয xو౿োă
oΣxi
n
=

Ck-54
σx!12)T.WBS*1)WBS*2
ഓჅӊืয xوዜӶኼ౭ă
σxn
=Σ(xi – o)2
sx!12)T.WBS*1)WBS*3
ഓჅӊืয xوჅӊӶኼ౭ă
sxn – 1
=Σ(xi – o)2
¯y!12)T.WBS*1)WBS*e1
ഓჅӊืয yو౿োă
pΣyi
n
=
σy!12)T.WBS*1)WBS*e2
ഓჅӊืয yوዜӶኼ౭ă
σyn
=Σ (yi – y)2
sy!12)T.WBS*1)WBS*e3
ഓჅӊืয yوჅӊӶኼ౭ă
syn – 1
=Σ (yi – y)2

Ck-55
܇۠״ߥوߥ࿅ืࠧࣜதDŽWBS ԵةDž
a!12)T.WBS*1)WBS*ee1
ഓߥާوիื bă
b!12)T.WBS*1)WBS*ee2
ഓߥާو࿅ื că
r!12)T.WBS*1)WBS*ee3
ഓߔ࿅ื să
ˆx!12)T.WBS*1)WBS*d1
ޗযᇀၭᇗوߥࣜوߥާLjჾᇀױதஎพ
൩وืዷཛྷ yLjഓ x!وࣜă
ˆy!12)T.WBS*1)WBS*d2
ޗযᇀၭᇗوߥࣜوߥާLjჾᇀױதஎพ
൩وืዷཛྷ xLjഓ y!وࣜă
۠״ߥوߥ࿅ืࠧࣜதDŽWBS ԵةDž
a!12)T.WBS*1)WBS*ee1
ഓߥާوիื bă
b!12)T.WBS*1)WBS*ee2
ഓߥާو࿅ื că!

Ck-56
c!12)T.WBS*1)WBS*ee3
ഓߥާو࿅ื dă
ˆx1!12)T.WBS*1)WBS*d1
ჾᇀױதஎพ൩وืዷཛྷ yLjෳᅋٞ 69 ოණو
ާഓ xوქޔࣜă
ˆx2!12)T.WBS*1)WBS*d2
ჾᇀױதஎพ൩وืዷཛྷ yLjෳᅋٞ 69 ოණو
ާഓ xوქޔࣜă
ˆy!12)T.WBS*1)WBS*d3
ჾᇀױதஎพ൩وืዷཛྷ xLjෳᅋٞ 69 ოණو
ާഓ yوࣜă
ዮဏࠧዮؙத )NJONBY Եة *
minX!12)T.WBS*2)NJONBY*1
ഓჅӊืয xوዮဏă
maxX!12)T.WBS*2)NJONBY*2
ഓჅӊืয xوዮؙă
minY!12)T.WBS*2)NJONBY*e1
ഓჅӊืয yوዮဏă
maxY!12)T.WBS*2)NJONBY*e2
ഓჅӊืয yوዮؙă

Ck-57
Aߥ࿅ืࠧࣜࣜާӹ
၂ߥ!
த ࣜާ
ߥާوիื b a =n
Σyi – b.Σxi
ߥ࿅ื c b =n.Σxi2 – (Σxi)2
n.Σxiyi – Σxi.Σyi
ߔ࿅ื
s r =
{n.Σxi2 – (Σxi)2}{n.Σyi2 – (Σyi)2}
n.Σxiyi – Σxi.Σyi
ࣜ mmy – a
b
=
ࣜ
n
n
= a + bx
۠״ߥ
த ࣜާ
ߥާوիื b a = – b
(
)
– c
(
)
n
Σyi
n
Σxi
n
Σxi2
ߥ࿅ื c b =Sxx.Sx2x2
– (Sxx2)2
Sxy.Sx2x2
– Sx2y.Sxx2
ߥ࿅ื d c =Sxx.Sx2x2 – (Sxx2)2
Sx2y.Sxx – Sxy.Sxx2
دกLj
(Σxi)2
Sxx = Σxi2–n
Sxy = Σxiyi –n
(Σxi.Σyi)
Sxx2 = Σxi3
–n
(Σxi.Σxi2)
Sx2x2 = Σxi4
–n
(Σxi2)2
Sx2y = Σxi2yi –n
(Σxi2.Σyi)

Ck-58
த ࣜާ
ࣜ m1
m
1 =2c
– b +b2 – 4c(a – y)
ࣜ m2
m
2 =2c
– b –b2 – 4c(a – y)
ࣜ n
n
= a + bx + cx2
ڶืߥ
த ࣜާ
ߥާوի
ื b a =n
Σyi – b.Σlnxi
ߥ࿅ื c b =n.Σ(lnxi)2 – (Σlnxi)2
n.Σ(lnxi)yi – Σlnxi.Σyi
ߔ࿅ื
sr =
{n.Σ(lnxi)2 – (Σlnxi)2}{n.Σyi2 – (Σyi)2}
n.Σ(lnxi)yi – Σlnxi.Σyi
ࣜ mm = e
y – a
b
ࣜ nn = a + bln
x
e!ቚืߥ
த ࣜާ
ߥާو
իื b a = exp
(
)
n
Σlnyi – b.Σxi
ߥ࿅ื c
b =n.Σxi2 – (Σxi)2
n.Σxilnyi – Σxi.Σlnyi

Ck-59
ߔ࿅ื s
r
=
{
n.Σx
i
2
–
(
Σx
i
)
2
}{
n.Σ
(ln
y
i
)
2
–
(
Σ
ln
y
i
)
2
}
n.Σx
i
ln
y
i
– Σx
i
.Σ
ln
y
i
ࣜ m
m
=b
lny – lna
ࣜ nn = aebx
ab!ቚืߥ
த ࣜާ
ߥާو
իื b a = exp
(
)
n
Σlnyi – lnb.Σxi
ߥ࿅ื c
b = exp
(
)
n.Σxi2 – (Σxi)2
n.Σxilnyi – Σxi.Σlnyi
ߔ࿅ื s
r
=
{
n.Σx
i
2
–
(
Σx
i)
2
}{
n.Σ
(ln
y
i)
2
–
(
Σ
ln
y
i)
2
}
n.Σx
iln
y
i
– Σx
i
.Σ
ln
y
i
ࣜ m
m
=lnb
lny – lna
ࣜ nn = abx
֓۽ߥ
த ࣜާ
ߥާ
وիื b a = exp
(
)
n
Σlnyi – b.Σlnxi
ߥ࿅ื c
b =n.Σ(lnxi)2 – (Σlnxi)2
n.Σlnxilnyi – Σlnxi.Σlnyi

Ck-60
ߔ࿅ื s
r =
{n.Σ(lnx
i)
2
– (Σlnxi)
2
}{n.Σ(lnyi)
2
– (Σlnyi)
2
}
n.Σlnxilnyi – Σlnxi.Σlnyi
ࣜ m
m
= eb
ln y – ln a
ࣜ nn = axb
௬ߥ
த ࣜާ
ߥާوիื b a =n
Σyi – b.Σxi–1
ߥ࿅ื c b =Sxx
Sxy
ߔ࿅ื
sr = Sxx.Syy
Sxy
دกLj
Sxx = Σ(xi–1)2 –
n
(Σxi–1)2
Syy = Σyi2–n
(Σyi)2
Sxy = Σ(xi–1)yi – n
Σxi–1.Σyi
த ࣜާ
ࣜ mm = y – a
b
ࣜ mn = a + x
b

Ck-61
k༇ࣜࣜ۶ઋ
ᅚӹ઼־ષူූۛᇀ־ූࡍቺو
Ӱࡧă
1!ഓሦဗืযو၂ߥوߥާ
ࠧߔ࿅ืă
2!ഓሦဗืযوڶืߥوߥާ
ࠧߔ࿅ืă
3!ޗযߥࣜॕ߷ሖ־ዮคࠩሦ
ဗืযഗوߥާLjᆿѢሙ
ױߥާᆊՌူූۛ־ූ 461
ࡍوቺă
ื ቺDŽ৻Dž
20 3150
50 4800
80 6420
110 7310
140 7940
170 8690
200 8800
230 9130
260 9270
290 9310
320 9390
Ճዷԧኊ
६൩ SFH னԌၭᇗ၂ߥ ǖ
N5(REG)1(Lin)
ट༇ࣜ౷ଔහڊၭᇗཛྷ GsfrPgg;
1N(SETUP)dd2(FreqOff)
พ൩Ⴥӊืয ;
20,3150m(DT)
50,4800m(DT)
80,6420m(DT)
110,7310m(DT)
140,7940m(DT)
170,8690m(DT)
200,8800m(DT)
230,9130m(DT)

Ck-62
260,9270m(DT)
290,9310m(DT)
320,9390m(DT)
1!၂ߥ!
ߥާوիื bǖ!
12(S-VAR)1(VAR)
ee1(a)E
4446575758
ߥ࿅ื cǖ!
12(S-VAR)1(VAR)
ee2(b)E
1887575758
ߔ࿅ืǖ!
12(S-VAR)1(VAR)
ee3(r)E
0904793561
2!ڶืߥ
ၭᇗڶืߥǖ
12(S-VAR)3(TYPE)2(Log)
20
x
1
=
ߥާوիื bǖ!
A12(S-VAR)1(VAR)
ee1(a)E
–
4209356544
ߥ࿅ื cǖ!
12(S-VAR)1(VAR)
ee2(b)E
2425756228

Ck-63
ߔ࿅ืǖ!
12(S-VAR)1(VAR)
ee3(r)E
0991493123
3!ᆊՌቺ
ᄜཛྷڶืߥوߔ࿅ืوڶे॰ᅢ 2Ljຑჾෳᅋڶ
ืߥ६ှቺᆊՌࣜă
صx!>!461 ෫ഓ !ǖ
350
12(S-VAR)
1(VAR)d2(n)E
350
y
1000056129
ࢱืࣜDŽCBTFDž
ე६ှᇀӊॎቲढ़මو۶Ճዷ෫Ljฑ࿘ၭᇗ CBTF ዷཛྷ
ࣜனă
kࠨ६ှࢱืࣜ
Aࠨቚڊയෛื࿅
ෳᅋᅚӫ઼ফوऒၭᇗയෛื࿅ ǖ
x)EFD* ᅋᅢ෨६
ቨLjM)IFY* ᅋᅢ෨६ቨLjl)CJO* ᅋᅢ۠६ቨLjࢪ
i)PDU* ᅋᅢѹ६ቨă
Aࢱืࣜ۶ઋ
۶ઋ ǖ! ࠨၭᇗ۠६ቨዷཛྷื࿅Ԍࣜ 23!,!23

Ck-64
Al(BIN)1+1E
1+1
10
b
ื࿅ቚܻ
DŽe ǖ෨६ቨLjI ǖ෨६ቨLjc ǖ۠६ቨLjp ǖѹ६ቨDž
• พ൩ྐပوื࢙դූশۨؓྥ )Tzouby!FSSPS*ă
• ᇀ CBTF னቲԥพ൩ܖืDŽဏืDžࠧቚืăࣜ
ॕ߷وဏืԩܖटӇලണă
A෨६ቨืوพ൩ࣆࣜ۶ઋ
ഋෳᅋᅚӫ઼ফوऒพ൩෨६ቨืຑၖეوዖாǖ
-)B*-!$)C*-!w)D*-!s)E*-!c)F*-!t)G*/
۶ઋ ǖ!ࠨၭᇗ෨६ቨዷཛྷื࿅Ԍࣜ 2G27!,!227
AM(HEX)1t(F)+1E
20
H
Aᅘပࣜ۶ཙ
ื࿅ ᅘပ۶ཙ
۠६ቨ ቁื ǖ
0 < x < 111111111
ݘื ǖ
1000000000 < x < 1111111111
ѹ६ቨ ቁื ǖ
0 < x < 3777777777
ݘื ǖ
4000000000 < x < 7777777777
෨६ቨ –2147483648 < x < 2147483647
෨६ቨ ቁื ǖ
0 < x < 7FFFFFFF
ݘื ǖ
80000000 < x < FFFFFFFF
صࣜॕ߷մ־صയෛื࿅وᅘပ۶ཙ෫࢙ۢූࣜؓ
ྥDŽNbui!FSSPSDžă

Ck-65
kࠨटوࣜॕ߷Ӱࡳཛྷದຓื࿅
صᅘࣜॕ߷෫Ѣ x)EFD*LjM)IFY*Ljl)CJO* ࢪ
i)PDU*Ljݡॕ߷टӇӰࡳཛྷᄮوื࿅ă!
۶ઋ ǖ!ࠨट෨६ቨื 4121!Ӱࡳཛྷ۠६ቨĂѹ६ቨࣆ
෨६ቨြ
Ax(DEC)30E
30
d
l(BIN)
11110
b
i(OCT)
36
o
M(HEX)
1E
H
k!MPHJD Եةوෳᅋ
ᇀ CBTF னቲLjX!ऒوޢӰཛྷ MPHJD Եةوऒă
MPHJD ԵةޮᅘൻޔࡥஎLjᅋ d!ࠧ e!৹ᇀದࣺ६ှၭ
ࡳă!
kࠨཛྷ໎ڊืቚڊื࿅
พ൩ื෫Ljఀ৹ჾቚڊქޔᅳصയෛื࿅ԥༀوื࿅ă!
Aෳᅋࢱืቚڊوࣜ۶ઋ
۶ઋ ǖ!ࠨ६ှ 621!,!627 وࣜLjԌჾ۠६ቨࣜॕ
߷
Al(BIN)X(LOGIC)d1(d)
5+X(LOGIC)d2(h)5E
d5+h5
1010
b

Ck-66
kࠨෳᅋࣃᆱࠧ۠६ቨݘ६ှࣜ
ӊࣜಹ६ှ 21 DŽ21 Ӕ໎Džو۠६ቨࣃᆱࠧݘ
ืࣜăຑᅘ࿒۶ઋোჾ CJODŽ۠६ቨDžዷཛྷയෛื࿅
६ှࣜă
AࣃࢵDŽboeDž
۵ࢵوࣜॕ߷ă!
۶ઋ ǖ!10102 and 11002 = 10002
1010X(LOGIC)
1(and)1100E
1000
b
AࣃࠧDŽpsDž
۵ࠧوࣜॕ߷ă
۶ઋ ǖ!10112 or 110102 = 110112
1011X(LOGIC)
2(or)11010E
11011
b
AᄖࣃࠧDŽypsDž
۵ᄖࣃࠧوࣜॕ߷ă
۶ઋ ǖ!10102 xor 11002 = 1102
1010X(LOGIC)e
1(xor)1100E
110
b

Ck-67
Aᄖ܇ࣃࠧDŽyopsDž
۵ᄖࣃܱࠧوࣜॕ߷ă
۶ઋ ǖ!11112 xnor 1012 = 11111101012
1111X(LOGIC)
3(xnor)101E
1111110101
b
Aԣ 0 ௬DŽOpuDž
۵ืوԣDŽ௬Džă
۶ઋ ǖ!Not(10102) = 11111101012
X(LOGIC)e2(Not)
1010)E
1111110101
b
AܱDŽOfhDž
۵ืو 3 وԣă
۶ઋ ǖ!Neg(1011012) = 11110100112
X(LOGIC)e3(Neg)
101101)E
1111010011
b
֔ၠனDŽQSHNDž
ఀ৹ჾᅋ QSHN னटე६ှوࣜዷ֑֔ၠԌү،ಲੂă
֔ၠቲ৹ჾҪࠆൌࠨᇀ DPNQĂDNQMYĂCBTFĂTE ࢪ
SFH னቲ६ှوࣜă

Ck-68
k֔ၠனݣე
A֔ၠᆱှனوቚڊ
ഹ֔ၠᇀ QSHN னቲךजࠧᆱှLjدޕ֔ၠڞᅘქ
ޔĐᆱှனđLj֔ၠᇀױனቲᆱှăDPNQĂDNQMYĂ
CBTFĂTE ࢪ SFH ன৹ჾቚڊཛྷ֔ၠوᆱှனăნট
กํLjఀၖე৬֔ၠຑዶوࣜԌၭᇗᄮوᆱှனă!
A֔ၠ،ಹ
֔ၠ،ಹޮᅘ 4:1 ዖॎو൛ફLj৹ޥޔ֔ၠޮă֔
ၠ،ಹ،ୄࡍӯྐۨᆿү،ದຓ֔ၠă
k֔ၠوךज
Aူ֔ၠوךज
۶ઋ ǖ!ࠨךजქޔटᄪ؍Ӱࡳཛྷੳو֔ၠDŽ2 ᄪ؍!>!
3/65 ੳDž
? → A : A × 2.54
2/!Ѣ ,g)QSHN* ६൩ QSHN னă!
3/!Ѣ b)FEJU*ă
EDIT Pro
g
ram
P-1234 380
჻ࠆᅘ֔ၠืযو֔ၠഘDŽQ2 ባ Q5Dž
ෝᅨ֔ၠ،ಹ൛ફ
ED I T RUN DEL
123

Ck-69
4/!Ѣڶᄮᅢསෳᅋو֔ၠഘӬࠟوืዖऒă
• ࡥஎණ־ᆱှனၭᇗԵةăᅋ e!ࠧ!d!ၭࡳԵ
ةࡥஎ 2 ࠧࡥஎ 3ă
MODE
:
BASE SD REG
345
MODE
:
COMP CMPLX
12
ࡥஎ 2 ࡥஎ 3
5/!Ѣڶᄮᅢეၭዷ֔ၠᆱှனوืዖ
ऒă!
• ᇀױઋቲLjᇀࡥஎ 2 ණၭᇗ
b)DPNQ*ăױ෫ DPNQ ӇၭᇗዷཛྷᆱှனLjࣜಹ
ट֔ၠӬࣃࡥஎă!
ቺეƽ!
֔ၠوᆱှனქحӇቚڊLjӯྐۨݢӰăቝᅘᇀךजူ
و֔ၠ෫ԯቚڊᆱှனă
6/!พ൩֔ၠă
• ࿒எढ़මࠨพ൩֔ၠă
֔ၠ ? → A : A × 2.54
ऒՃዷ
!d(P-CMD)b(?)
!~(→)-(A)w
a-(A)*c.fe
• !d)Q.DNE* ქޔቚڊ֔ၠதوพ൩ࡥஎă
ᅘߔഉഋԸᆪٞ 82 ოණوĐதوพ൩đქॎă
I
000
?
→
A:A×2.54
010

Ck-70
7/!พ൩֔ၠࡍLjѢ A!ࢪ !5)FYJU*ă
• ეᆱှݳݳךजو֔ၠ෫Ljഋᇀױ෫Ѣ w!֔ၠ
ᆱှDŽSVO!QsphsbnDžࡥஎăᅘߔഉLjഋԸᆪĐ֔ၠ
وᆱှđქॎDŽ࿒ะDžă
• ე۵իوࣜࡥஎ෫LjഋѢ ,b!६൩ DPNQ
னă!
Aᅘ֔ၠوӬࣃ
2/!Ѣ ,g)QSHN*b)FEJU* ֔ၠӬࣃ )FEJU!
Qsphsbn* ࡥஎă
3/!ᅋืዖऒ b!ባ eၭᇗࠆᅘეӬࣃو֔ၠو֔ၠഘă!
4/!ᅋ e!ࠧ!d!ᇀ֔ၠቲჰڑߞӶLjԌቖှຑၖეوՃ
ዷӬࣃ֔ၠو൛ࢪࣩူ൛ă!
• Ѣf!৹ባ֔ၠو་LjۚѢ c!৹ባயཤă
5/!֔ၠӬࣃ༾ӛࡍLjѢ A!ࢪ !5)FYJU*ă
k֔ၠوᆱှ
֔ၠ৹ჾᇀ QSHN னࢪದຓனቲᆱှă!
Aࠨᇀ QSHN னჾ༶وனቲᆱှ֔ၠ
2/!Ѣ 5ă
3/!ᅋืዖऒ b!ባ eၭᇗ֔ၠഘԌቖှದ֔ၠă
Aࠨᇀ QSHN னቲᆱှ֔ၠ
2/!Ѣ ,g)QSHN* QSHN னوֽࡥஎă
3/!Ѣ c)SVO*ă
• ࣜಹ֔ၠᆱှDŽSVO!QsphsbnDžࡥஎă
RUN P r o
g
ram
P-1234 380
჻ࠆᅘ֔ၠืযو֔ၠഘDŽQ2 ባ Q5Dž
ෝᅨ֔ၠ،ಹ൛ફ

Ck-71
4/!ᅋืዖऒ b!ባ eၭᇗࠆᅘეᆱှو֔ၠو֔ၠഘă
• ఀၭᇗو֔ၠഘቲو֔ၠӯӇቖှă!
A!ؓྥဳྲ־෫ᄮԳടوؑ
Ѣdࢪeăױ෫֔ၠوӬࣃࡥஎट־LjۚߞӶᅢ
ؓྥդූوብLjჾӯുఀ६ှ၌ݢă
k֔ၠوකׅ
߹ቚڊ֔ၠഘӬࠟ৹ჾකׅᅘو֔ၠă
Aࠨකׅቚڊ֔ၠഘቲو֔ၠ
2/!Ѣ ,g)QSHN* QSHN னوֽࡥஎă
3/!Ѣ d)EFM*ă
DELETE Pr o
g
ram
P-1234 380
჻ࠆᅘ֔ၠืযو֔ၠഘDŽQ2 ባ Q5Dž
ෝᅨ֔ၠ،ಹ൛ફ
4/!ᅋืዖऒ b!ባ eၭᇗეකׅದ֔ၠو֔ၠഘă
• ࠆᅘఀݳݳකׅو֔ၠو֔ၠഘӬ
ࠟసӫوܻࠟटဋLjༀ෫֔ၠ،
ಹوෝᅨ൛ફटᇜࣩă
kதوพ൩
Aࠨพ൩ቚڊ֔ၠத
2/!ص֔ၠӬࣃࡥஎ෫LjѢ !d)Q.DNE*ă
• ױ෫ࡥஎதԵةوٞ 2 ოă
3/!ᅋ e!ࠧ!d!ၭࡳԵةԌࠆᅘຑၖதوࡥஎă
4/!ᅋืዖऒ b!ባ e!ၭᇗԌพ൩ຑၖეوதă
DELETE Pr o
g
ram
P-1234 390

Ck-72
ኢ
ეพ൩ܖࠟ );* ෫LjഋѢ wă
A৹ዷཛྷ֔ၠதพ൩وޢ
ᇀիوࣜ෫พ൩وහڊࠧቖှوದຓՃዷڞ৹ᅋ
ዷ֔ၠதăᅘߔഉLjഋԸᆪ࿒ะĐதԸ৬đă
kதԸ৬
ӊॎ࿈ढ़ම৹ჾᇀ֔ၠቲෳᅋوޕቸதă
Ӷ໘ቲࠆᅘ g!وத৹ჾᇀѢ !d)Q.DNE* ࢪ
5ࡍ־وࡥஎණพ൩ă
Aࢱӊࣜத g
?!DŽพ൩໗ܻDž
শۨ! ?!→!| Ӱફ ~
ޢ! พ൩໗ܻĐ| Ӱફ ~?đԌटพ൩وืݑ
ޖქޔӰફă
۶ઋ! ?!→!A
→!DŽӰફݑDž
শۨ! | ӹؕ ; ?~!→!| Ӱફ ~
ޢ! टᅑዳՊᆐഓهوืݑޖᅚՊوӰફă
۶ઋ! A+5 → A
:!DŽܖތଵDž
শۨ! |ᅷশ~
: |ᅷশ~
: ... : |ᅷশ~
ޢ! ܖތᅷশăԥቛ֔ၠوቖှă
۶ઋ! ? → A : A2 : Ans2

Ck-73
^!!) พ־த *
শۨ! |ᅷশ~
^!| ᅷশ ~
ޢ! ᇃ֔ၠوቖှԌᇀوቖှॕ߷ă֔ၠ
وቖှᄜױதۚᇃ෫LjQ!ܻ࢙ࠟ־ă
۶ઋ! ?!→!A : A2!^!Ans2
A܇औኪჰத g
Goto ~ Lbl
শۨ! Goto n : .... : Lbl n ࢪ Lbl n : .... : Goto n!)n!>!1
ባ : وሿื *
ޢ! ቖှ Hpup nLjባᄮو Mcm nă
۶ઋ! ? → A : Lbl 1 : ? → B : A × B ÷ 2 ^ Goto 1
ቺეƽ
߷ᇀ Hpup!nຑᇀوༀქ֔ၠቲୣᅘᄮو Mcm!nLjশۨ
ؓྥ )Tzouby!FSSPS* ӯ࢙ۢූă
A!औኪჰதࠧऔӹؕ g
S
শۨ! 1!!| ӹؕ ~!| ߔ࿅ᆱܻ ~!| ӹؕ ~!S!| ᅷশ 2~
: |ᅷশ3~
: ////
!2!!| ӹؕ ~!S!| ᅷশ 2~!;!| ᅷশ 3~!;!////
ޢ! ᅳߔ࿅ᆱܻქಲෳᅋوऔܖቈதDŽ=, ≠, >,
>, <, <*ă
!শۨ
1
ǖ߷ S!தዳӫوऔཛྷሪᇘቖှ | ᅷ
শ 2~!- ഹࡍก | ᅷশ 3~Ljቐࡍوᅷশᇘც״ቖှă
߷ S!தዳӫوऔཛྷ࣯ᇘ߹ | ᅷশ 2~!-
ഹࡍቖှ | ᅷশ 3~ ࣆದࡍوᅷশă

Ck-74
!শۨ
2ǖ
S!தዳՊوऔوಂࣱॕ߷ԥก
෫ದटӇॖงཛྷĐሪđLjᄜױቖှ | ᅷশ 2~Ljഹ
ࡍก | ᅷশ 3~ ࣆದຓࡍوᅷশăS!தዳՊ
وऔوಂࣱॕ߷ก෫ದटӇॖงཛྷĐ࣯đLj
ᄜױ߹ | ᅷশ 2~Ljഹࡍቖှ | ᅷশ 3~ ࣆದຓ
ࡍوᅷশă
۶ઋ! Lbl 1 : ? → A : A > 0 S!'(A)!^ Goto 1
=, ≠, >, >, <, <!DŽߔ࿅ᆱܻDž
শۨ! | ӹؕ ~!| ߔ࿅ᆱܻ ~!| ӹؕ ~!
ޢ! ሦဗதಂࣱӫوӹؕLjԌ۵ქޔሪDŽ2Dž
ࢪ࣯DŽ1Džوăᇀࣲ Jg ᅷশࢪ Xijmf ᅷশوȗ
औӹؕș෫Ljሦဗதࠧܖቈத Sქಲෳᅋă
۶ઋ! ഋԸᆪ S!DŽණะDžLjJg ᅷশDŽ࿒ะDžࣆ Xijmf ᅷশDŽٞ
87 ოDžوํடă
ኢ
ሦဗதಂࣱӫوӹؕLjԌ۵ქޔሪDŽ2Džࢪ࣯DŽ1Dž
وLjഹࡍटॕ߷ү،ᇀ Bot ቲă
Aॕਈቨத 0!Jg ᅷশ g
Jg ᅷশᅋᅢޗয Jg ቐࡍوӹؕDŽܖቈऔDžกሪࡱก࣯
ੂਈቨ֔ၠቖှوܖቈă
Jg ᅷশၙቌ
• Jg Ӥၙᅳ Uifo ైڶෳᅋăෳᅋ Jg دୣᅘᄮو Uifo ෫
टդූশۨؓྥ )Tzouby!FSSPS*ă
• ӹؕLjHpup தࢪ Csfbl த৹ᇀ Uifo ࠧ Fmtf ࡍஎو | ӹ
ؕ +~ ቲෳᅋă

Ck-75
If~Then (~Else) ~IfEnd
শۨ! If!| औӹؕ ~!:!Then!| ӹؕ +~!: Else!| ӹؕ
+~!: IfEnd!: |ᅷশ~!
: ...
ޢ! •!ص Jg ࡍஎوऔᅷশཛྷሪ෫Lj֔ၠቖှ
Uifo ف Fmtf ቐࣺوᅷশLjഹࡍቖှ JgFoe ࡍஎ
وᅷশăص Jg ࡍஎوऔᅷশཛྷ࣯෫Lj֔ၠ
ቖှ Fmtf ࡍஎوᅷশࡍቖှ JgFoe ࡍஎوᅷশă
• !Fmtfȗӹؕș৹ჾෛଞă
• !Ӥၙࠆᅘ JgFoe ǖȗᅷশșăटದෛଞԥ࢙դූ
ؓྥLjد Jg ᅷশࡍஎو֔ၠ৹࢙դූᄌ
ԥفوॕ߷ă
۶ઋ 2! ? → A : If A < 10 : Then 10A ^ Else 9A ^
IfEnd : Ans×1.05
۶ઋ 3! ? → A : If A > 0 : Then A × 10 → A : IfEnd :
Ans×1.05
Aॕਈቨத 0!Gps ᅷশ g
ቝეਈቨӰફቲوᇀቚڊ۶ཙቐLjGps ᅷশӯ࢙۴ݒ
ቖှ Gps ᅳ Ofyu ቐࣺوᅷশă!
Gps ᅷশၙቌ
Gps ᅷশӤၙዜกҗᅘ Ofyu ᅷশăෳᅋ Gps دୣᅘᄮو
Ofyu ෫टդූশۨؓྥ )Tzouby!FSSPS*ă
For~To~Next
শۨ! For!| ӹؕ ) *~!→!| Ӱફ ) ਈቨӰફ *~!
To!| ӹؕ ) ॕา *~!;!| ᅷশ ~!; ...!| ᅷশ ~!;!
Next!; ....

Ck-76
ޢ! ۴ݒቖှ Gps ف Ofyu ቐࣺوᅷশ෫LjਈቨӰ
ફटLj୧ቖှ 2 ״ӯࣩ 2ăصਈቨ
فؕॕา෫Lj֔ၠባ Ofyu ࡍஎوᅷশቖ
ှă߷ Ofyu ࡍஎୣᅘᅷশLj֔ၠӯቛቖှă
۶ઋ! For 1 → A To 10 : A2 → B : B ^ Next
For~To~Step~Next
শۨ! For!| ӹؕ ) *~!→!| Ӱફ ) ਈቨӰફ *~!
To!| ӹؕ ) ॕา *~!Step!| ӹؕ ) ԧ *~!;!| ᅷ
শ ~!; ...!| ᅷশ ~!;!Next : ....
ޢ! ۴ݒቖှ Gps ف Ofyu ቐࣺوᅷশ෫LjਈቨӰ
ફटLj୧ቖှ 2 ״ӯࣩԧืăׅ
ױ٧ቐ༶Ljױதᅳ For~To~Next ༀă
۶ઋ! For 1 → A To 10 Step 0.5 : A2!→ B : B ^ Next
Aॕਈቨத 0!Xijmf ᅷশ g
While~WhileEnd
শۨ! While!| औӹؕ ~!;!| ᅷশ ~!;!///!| ᅷশ ~!;!
WhileEnd :!////
ޢ! ص Xijmf ࡍஎوऔӹؕཛྷሪDŽ܇Dž෫Lj֔
ၠ۴ݒቖှ Xijmf ባ XijmfFoe ቐࣺوᅷশăص
Xijmf ࡍஎوऔӹؕӰཛྷ࣯DŽ1Dž෫Lj֔ၠ
ቖှ XijmfFoe ࡍஎوᅷশă
۶ઋ! ? → A : While A < 10 : A2!^ A+1 → A :
WhileEnd : A÷2
ኢ
صױதฑ״Ӈቖှ෫Lj߷ Xijmf ᅷশوऔཛྷ࣯Ljቖ
ှቓेባ XijmfFoe ࡍஎوᅷশLjۚ Xijmf ባ XijmfFoe ቐ
ࣺوᅷশქ״ნԥӇቖှă

Ck-77
A֔ၠਈቨத g
Break
শۨ! .. : {Then ; Else ; S } Break : ..
ޢ! ױதቨቲڱ Gps ࢪ Xijmf ၹLjԌባ࿒ქ
ޔதăիLjױதᅋᇀ Uifo ᅷশቲLj໗ޥ
Csfbl وऔă
۶ઋ! ?!→ A : While A > 0 : If A > 2 : Then Break :
IfEnd : WhileEnd : A ^
Aහብத
ሦဗதوޢᅳࣜಹوޕቸහብༀăᅘߔഉLjഋ
Ըᆪٞ : ოණوĐࣜಹහብđă
ቺეƽ!
ڶᅢᅘဗහብதLj࣊ෳ֔ၠᆱှॕาષLjݡதຑዶو
හብटၦᅘပă
ऻڪةத
Deg, Rad, Gra!(COMP, CMPLX, SD, REG)!
শۨ! .. : Deg : ..
.. : Rad : ..
.. : Gra : ..
Ճዷ! !,(SETUP)b(Deg)
!!,(SETUP)c(Rad)
!!,(SETUP)d(Gra)
ޢ! ሦဗதቚڊऻڪةă

Ck-78
ြத
Fix!(COMP, CMPLX, SD, REG)!
শۨ! .. : Fix {n} : .. )n!>!1 ባ : وሿื *
Ճዷ! !,(SETUP)eb(Fix)aባj
ޢ! ױத߈ڊพ־وࣜॕ߷وဏืืDŽ1ባ:Džă!
Sci!(COMP, CMPLX, SD, REG)!
শۨ! .. : Sci {n} : .. )n!>!1 ባ : وሿื *
Ճዷ! !,(SETUP)ec(Sci)aባj
ޢ! ױத߈ڊพ־وࣜॕ߷وᅘပืDŽ2 ባ
21Džă
!Ѣ
!,)TFUVQ*ec)Tdj* ࡍѢ a!ቚڊ 21
ᅘပืዖă
Norm!(COMP, CMPLX, SD, REG)!
শۨ! .. : Norm {1 ; 2} : ..
Ճዷ! !,(SETUP)ed(Norm)bࢪc
ޢ! ױதቚڊࣜॕ߷وพ־กෳᅋ Opsn2 ࡱก
ෳᅋ Opsn3ă
༇ࣜ౷ଔத
FreqOn, FreqOff!(SD, REG)
শۨ! .. : FreqOn : ..
!.. : FreqOff : ..
Ճዷ! !,(SETUP)db(FreqOn)!
!!,(SETUP)dc(FreqOff)
ޢ! ױதؘ )GsfrPo* ࢪߔӡ )GsfrPgg* ༇ࣜ౷ଔă!

Ck-79
Aഅׅத
ClrMemory!(COMP, CMPLX, BASE)
শۨ! .. : ClrMemory : ..
Ճዷ! !j(CLR)b(Mem)
ޢ! ױதटຑᅘӰફഅׅཛྷă
ኢ
ეഅׅქޔቚڊӰફ෫Ljᅋ 1!→!| Ӱફ ~ă
ClrStat!(SD, REG)!
শۨ! .. : ClrStat : ..
Ճዷ! !j(CLR)b(Stat)
ޢ! ױதഅׅү،ᇀ،ಹቲوຑᅘ༇ࣜჅӊื
যă!
Aڢ،ಹத
M+, M–!(COMP, CMPLX, BASE)
শۨ! .. : | ӹؕ ~ M+ : ..!0!.. :!| ӹؕ ~!M– : ..
Ճዷ! l / !l(M–)
ޢ! M+ टӹؕوࣩفڢ،ಹቲLjۚ M–
ڢ،ಹऋണӹؕوă
Aල൩த )Soe*
Rnd(!(COMP, CMPLX, SD, REG)!
শۨ! .. :!| ӹؕ ~!: Rnd(Ans : ..
Ճዷ! !a(Rnd)
ޢ! ױதޗযᅑြቚڊوืල൩ࣜॕ
߷ă

Ck-80
Aื࿅த
Dec, Hex, Bin, Oct!(BASE)
শۨ! .. : Dec : .. / .. : Hex : .. / .. : Bixn : .. / .. : Oct : ..
Ճዷ! x(DEC) / M(HEX) / l(BIN) / I(OCT)
ޢ! ሦဗதቚڊࢱืࣜوื࿅ă
A༇ࣜืযพ൩த
DT!(SD, REG)!
শۨ! .. : | ӹؕDŽxDž~ ; | ӹؕDŽGsfr Dž~!EU : ..
! ///////TE னLjGsfrPo
!.. : | ӹؕDŽxDž~!EU : ..!//////TE னLjGsfrPgg
!.. : | ӹؕDŽxDž~ , | ӹؕDŽyDž~ ;
| ӹؕDŽGsfr Dž~!EU : ..! /////SFH ன -!GsfrPo
!.. : | ӹؕDŽxDž~ , | ӹؕDŽyDž~!EU : ..
! /////SFH ன -!GsfrPgg
ቺეƽ!
ეᇀණশۨቲพ൩ܖࠟ )<* ෫LjഋѢ !,)<*ăეพ൩
ڜࠟ )-* ෫LjഋѢ ,ă
Ճዷ! l) พ൩ EUă*
ޢ! ױதᅋᅢพ൩Ⴥӊืযዩăᇀ TE னࠧ SFH
னቲLjEU தوޢᅳ l!ऒDŽEU ऒDžༀă
Aԥᇀ֔ၠቲෳᅋوޢ
࿒઼ޢԥᇀ֔ၠቲෳᅋă
• ࣜॕ߷ӰࡳࠉืDŽFOH!
/-!FOH!
,-!෨६ቨ ↔෨६ቨ
ӰࡳLjܖื ↔ဏืӰࡳDž
• ݒืࣜॕ߷෫وࡳDŽ!w)Sf⇔Jn*Džă

Ck-81
• ݒDŽ!j)DMS*d)Bmm*wDž
• හብဳྲഅׅDŽ!j)DMS*c)Tfuvq*wDž
ݛଆ
kࣜوᅍ࿘๋ၠ
ࣜಹޗয࿒ᅍ࿘๋ၠ६ှఀพ൩وࣜă
• ࢱӊණLjࣜกѢሙዳባᅚو๋ၠ६ှă
• ਸ਼ᅘਸ਼ࠟوࣜᅍ࿘ă!
๋ၠ ࣜ੮ျ ํட
2 ؞ਸ਼ࠟوࠉื Pol(, Rec(, ∫(, d/dx(, sin(,
cos(, tan(, sin–1(, cos–1(,
tan–1(, sinh(, cosh(, tanh(,
sinh–1(, cosh–1(, tanh–1(, log(,
ln(, e^(, 10^(, '(, 3
'(,
arg(, Abs(, Conjg(, Not(,
Neg(, Rnd(
3 எᅘืوࠉื
֓۽Lj֓۽ޗ
҇ܖӔ
x2, x3, x–1, x!, ° ´ ˝, °, r, g
^(, x
'(
%
4ܖื a b/c
5 ብܻࠟ (–) )ݘࠟ*
d, h, b, o!) ื࿅ܻࠟ *
6 ༇ࣜࣜࣜ m, n, m1, m2

Ck-82
๋ၠ ࣜ੮ျ ํட
7 ෛଞو֓ࠟ ᇀ࿒઼ቐو֓ࠟ৹ჾ
ෛଞ ǖ
π-!eLjӰફDŽ2π, 5A, πA, 2i,
ٌDžLj؞ਸ਼ࠟوࠉืDŽ2'(3),
Asin(30), ٌ * ჾࣆብܻࠟ
DŽݘׅࠟ༶Dž
8 ઼Ljዩࠩ!
ݒืܻࠟ
nPr, nCr
∠
9 ֓ۨLjׅۨ! ×, ÷
: ࣩۨLjऋۨ +, −
21 ߔ࿅ᆱܻ =, ≠, >, <, >, <
22 ࣃࢵ and
23 ࣃࠧLjᄖࣃࠧLj
ᄖ܇ࣃࠧ
or, xor, xnor
ኢ
• ߷ࣜቲࠆᅘݘLjᇘݘ৹ၖეਸ਼ᇀਸ਼ࠟቲăઋ
Lj߷ეࣜlj3 و౿۽Ljᇘၖეพ൩ ǖ)lj3*3ă!ᄜཛྷ
x3!กქޔᅘብืوࠉืDŽණᅍ࿘ڪ 3DžLjױࠉืو
ᅍ࿘ڪݽᅢݘࠟLjݘࠟཛྷብܻࠟDŽᅍ࿘ڪ 5Džă
-cxw!! –22 = –4
(-c)xw!(–2)2 = 4
• ࿒எوઋዓຑLjෛଞܻࠟو֓ۨوᅍ࿘๋ၠݽᅢ؞
ܻࠟوׅ֓ۨࠧۨă
1 ÷ 2π = 1
2P = 0.159154943
1 ÷ 2 × π = 1
2π = 1.570796327

Ck-83
kࣜ۶ཙĂืࣆॽڪ
࿒ӹ઼־ષࣜ۶ཙDŽืพ൩ࠧพ־۶ཙDžĂԩࣜ
ෳᅋوืLjჾࣆࣜॽڪă
ࣜ۶ཙ Ġ2ġ21—::!ባ Ġ:/:::::::::ġ21::!ࢪ 1
ԩࣜ 26
ॽڪ
ქґੂํLjᇀქ״ࣜቲLjٞ 21 وॽ
ڪཛྷ Ġ2ăቚืြࣜॕ߷وྥཛྷᇀ
ཤืوዮࡍᅘပืණ Ġ2ăᇀઘၦࣜ
߹֔ቲྥ࢙ࢵ੩ă
Aࠉืࣜพ൩۶ཙࠧॽڪ
ࠉื พ൩۶ཙ
sinx
cosx
DEG 0 < | x | < 9×109
RAD 0 < | x | < 157079632.7
GRA 0 < | x | < 1×1010
tanx
DEG ׅص | x | = (2n–1)×90 ෫ቐ༶Ljᅳ sinx
ༀă
RAD ׅص | x | = (2n–1)×π/2 ෫ቐ༶Ljᅳ sinx
ༀă
GRA ׅص | x | = (2n–1)×100 ෫ቐ༶Ljᅳ sinx
ༀă
sin–1x0 < | x | < 1
cos–1x
tan–1x0 < | x | < 9.999999999×1099
sinhx0 < | x | < 230.2585092
coshx

Ck-84
ࠉื พ൩۶ཙ
sinh–1x0 < | x | < 4.999999999×1099
cosh–1x1 < x < 4.999999999×1099
tanhx0 < | x | < 9.999999999×1099
tanh–1x0 < | x | < 9.999999999×10–1
logx/lnx0 < x < 9.999999999×1099
10x–9.999999999×1099 < x < 99.99999999
ex–9.999999999×1099 < x < 230.2585092
'
x0 < x < 1×10100
x2| x | < 1×1050
1/x| x | < 1×10100 ; x ≠ 0
3'
x| x | < 1×10100
x!0
< x < 69 (x กሿื )
nPr0 < n < 1×1010, 0 < r < n (n, r กሿื )
1 < {n!/(n–r)!} < 1×10100
nCr0 < n < 1×1010, 0 < r < n (n, r กሿื )
1 < n!/r! < 1×10100 ࢪ 1 < n!/(n–r)! < 1×10100
Pol(x, y)| x |, | y | < 9.999999999×1099
x2+y2 < 9.999999999×1099
Rec(r, )
0 < r < 9.999999999×1099
: ᅳsinxༀ
°’ ” | a |, b, c < 1×10100
0 < b, c
| x | < 1×10100
෨६ቨ ↔ ෨६ቨӰࡳ
0°0´0˝ < | x | < 9999999°59´59˝

Ck-85
ࠉื พ൩۶ཙ
^(xy)
x > 0: –1×10100 < ylog x < 100
x = 0: y > 0
x < 0: y = n, m
2n+1 (m, n กሿื )
دก : –1×10100 < ylog | x | < 100
x'
y
y > 0: x ≠ 0, –1×10100 < 1/xlogy < 100
y = 0: x > 0
y < 0: x = 2n+1, 2n+1
m (m ≠ 0; m, n กሿื )
دก : –1×10100 < xlog | y | < 100
a
b/c
ሿืLjܖዓࣆܖாوืࠩࣜӤၙᇀ 10 ჾ
DŽದቲҪਸ਼ܖޒܻDžă
• ^(xy), x'
y, 3', x!, nPr, nCr!ျࠉืၖეઘၦԩࣜLj
ᄜױᇀޕࣜቲۢූوྥ࢙੩ࢵă
• ᇀࠉืوನ٧ࠧߑ٧ݛ॰ྥᅘࢵ੩ࠧӰؙوഃဂă
kؓྥဳྲ
߷ࣜմ־ષࣜಹوڪLjࢪ
߷६ှષԥᆰၛوՃዷLjࡥஎණट־
ؓྥဳྲă
Mat h ERROR
ؓྥဳྲ۶ઋ
Aؓྥဳྲوഅׅ
ྐଥؓྥ੮ျཛྷࠨLjቖှ࿒ะऒՃዷ৹അׅؓྥဳྲă
• Ѣd!ࢪ e!ؓྥۢූఀพ൩وࣜӹؕوӬ
ࣃࡥஎLjױ෫ߞӶटᅢؓྥۢූوብăᅘߔഉഋ
Ըᆪٞ 27 ოණوĐؓྥብوՓሖđქॎă

Ck-86
• ѢA!৹അׅؓྥۢූఀพ൩وࣜӹؕăഋኢᄌLj
դූؓྥوࣜӹؕԥ࢙ࠆᇀࣜઈቲă!
AؓྥဳྲԸ৬
ӊॎ઼־ષࣜಹຑوຑᅘؓྥဳྲLjದᆓᄜࣆӨஊ
ؑă
Math ERRORDŽࣜؓྥDž
ᆓᄜ • ቲࣺࣜॕ߷ࢪዮቷࣜॕ߷մ־ષ൛ၛ
وࣜ۶ཙă
• พ൩وืմ־ષ൛ၛوพ൩۶ཙă
• ܇ۨوืᆱDŽׅჾٌDžă!
ڶՉ • ߷ၖეLjഋंՓพ൩وืԌऋඵืă
• ෳᅋڢ،ಹࢪӰફዷཛྷࠉืوԸื෫Lj
Ӥၙവ്،ಹࢪӰફᇀݡࠉืو൛ၛ
۶ཙቐă
ᅘߔืযو൛ၛพ൩۶ཙوํடLjഋԸᆪٞ 94 ოණوĐࣜ
۶ཙĂืࣆॽڪđქॎă!
Stack ERRORDŽڳᇿؓྥDž
ᆓᄜ ࣜෳืዖڳᇿࢪதڳᇿմ־ષڪă
ڶՉ • ईࡧࣜӹؕLjෳದԥմ־ڳᇿو൛ફă
• ฎटࣜܖތཛྷޔࢪޔჾණوԩܖă
Syntax ERRORDŽশۨؓྥDž
ᆓᄜ ࣜޏᅘོ໘ă
ڶՉ ंՓশۨԌ६ှຑၖეوޚቁă

Ck-87
Argument ERRORDŽԸืؓྥDž
ᆓᄜ ࣜᇀԸืوෳᅋණᅘོ໘ă
ڶՉ ंՓԸืوෳᅋഉਦԌ६ှຑၖეوޚቁă
Time OutDŽմ෫Džؓྥ
ᆓᄜ صوཔܖࢪࢵܖࣜॕาLjدསୄዣॕา
औă
ڶՉ པܖࢪࢵܖࣜǖժฎᇜࣩ!tol!ăഋኢᄌǖ
ױՃዷࡱ࢙ऩّॖوॽവڪă
Data FullDŽืয჻ୄDž
ᆓᄜ ᇀ TE னࢪ SFH னቲLjص،ಹቲ჻ү
،ᅘຑڊืફණوჅӊืয෫Ljฎ༐ၦ
ү،Ⴥӊืযă
ڶՉ ഋटჅӊืযوืફቨᇀ൛ၛڪቐă
ᅘߔഉLjഋԸᆪٞ 56 ოණوĐืযو
พ൩ืڪđă
Go ERRORDŽኪჰؓྥDž
ᆓᄜ ֔ၠDŽᇀ QSHN னቲजوDžቲᅘĐHpup!nđ
தLjدୣᅘᄮوĐMcm!nđӶă
ڶՉ ࣩქޔĐMcm!nđӶੂైࠩĐHpup!nđதLj
ࢪකׅᄮوĐHpup!nđதă

Ck-88
k!ᇀჳกࣜಹۢූષ߆ሓቐ ///
ᇀࣜ߹֔ቲۢූષؓྥLjࢪࣜॕ߷մ־ᄌ༶෫Ljഋቖ
ှ࿒ะՃዷă߷ქԧསॖৈོ໘Ljᇘჰባ࿒ქԧăഋ
ኢᄌLjᇀ६ှሦဗՃዷቐLjഋڶቺეืয६ှӄܝă!
1!ंՓࣜӹؕLjവ്ದกܱࠆᅘൌࠨؓྥă
2!വ്ఀე६ှوࣜกᇀቁവوனቲ६ှوă
3!߷ණะՃዷསෳࣜࢎݒቁիLjᇘഋѢ pऒă
ࣜಹ࢙ᇀಲڑ෫ڶದዔኴຢ६ှዔंă߷ࣜ
ಹۢષོ໘Ljದट۵ࣜனԌݒᆓֽയෛై
ብLjԌೲഅׅ،ಹቲوຑᅘืযă
4!߷ٞ 3ԧསෳՃዷࢎݒቁիLjഋ६ှ࿒઼ѢऒՃ
ዷֽࡧຑᅘனࠧහڊ ǖ
!j(CLR)c(Setup)wă
٫ᆚეഓ
A٫֠وޚࡳ
ࣜಹืዖӰѣӹ٫֠٫ԥዣăᇀ٫֠٫ԥዣ
෫ၦෳᅋࣜಹ࢙ـቤᆱှᄖիăصืዖӰѣ෫Lj
ᄮॳਜޚࡳ٫֠ă࣊ෳࣜಹᆱှቁիLjნᄮݡ୧ൻ௰ባ
ඵޚࡳქ״٫֠ă
ቺეƽ!
ဤ࿒٫֠Lj࢙ෳࣜಹوຑᅘ،ಹ൛ഩԩӇකׅă

Ck-89
2/!Ѣ!1A)PGG*!ڱࣜಹ٫ᆚă
• ეവүఀᇀޚࡳ٫֠෫ԥ࢙ྐᄌቲे
٫ᆚLjഋटү৷ࡤفࣜಹوڭă
3/!Ѣ༐ቲຑဤ࿒٫֠ࠪݥԌޚࡳ٫֠Ljഋ
ቷവүቁവ܅ብ٫֠ቁࣁ!),*!ࠧݘࣁ!
).*ă
4/!ޚࡳ٫֠ࠪݥă
5/!ֽࡧࣜಹ ǖ!
O19)DMS*3)Bmm*w)Zft*
• ྡྷ߹ණქԧƽ
螺丝
Aዔڑߔࢲ
߷ᇀᆢ 21 ܖትས६ှൌࠨՃዷLjࣜಹटዔڑߔࢲă
ױቸഉਦۢූ෫LjѢ p!ऒ৹ቺူࢲă!
ߢޏ
٫ᆚეഓǖ!ມჀ٫֠ǖՂᇀࣜಹوቁஎDŽ߈ڊDž
! ఉ٫֠ǖMS55!)HQB87*!ġ!2
ؙᆢ٫֠ณதǖ!4 ௰DŽ୧ෳᅋ 2 ဏ෫Dž
ዷჟུڪǖ!1ņባ 51ņ
༶ြ֧؍ǖ!22/2!) ݽ *!ġ!91!) ਝ *!ġ!273!) լ *!ࠛ
ؙᆢቺફǖ!:6h!) Ҫਸ਼٫֠ *
ݛऔǖү৷

Ck-90
ᅘڠᅘࠀྡቬࢪᆐண֎ࣆࠆફ
ү
ෳᅋ
ಜ
ԩऔண֎
ᅘڠᅘࠀྡቬࢪᆐ
ೆ
)Qc*
ޫ
)Ih*
ᮣ
)De*
ࣱޓ
)Ds)WJ**
ۂឫ
ખӉ
)QCC*
ۂឫ۠
Ӊ
)QCEF*
෯
ਠ Ő Ő Ő Ő Ő Ő
෯ኰࢱғĄ
ӹ ġŐŐ Ő Ő Ő
ӹ Ő ġ Ő Ő Ő Ő
ഩ।ฮ ġ Ő Ő Ő Ő Ő
DE.S Ő Ő Ő Ő Ő Ő
備৬ǖ
Őǖ!ӹݡᅘڠᅘࠀྡቬᇀݡԩऔຑᅘোቬԮ
ቲوࠆફোᇀ HC0U37683.3122 Ӷኼߢڊو
ફეഓჾ࿒ă
ġǖ!ӹݡᅘڠᅘࠀྡቬባඵᇀݡԩऔوஹქো
ቬԮቲوࠆફմ־ HC0U37683.3122 Ӷኼߢ
ڊوફეഓăDŽᅑᅢᇀ࣒ฯණᅘਵௗDž
үෳᅋಜ ǖ
ױࣝࠟཛྷޗযቲࡢஙޮࠧ߶٫ዓဳྲդ౹ྍ഼ਈቨߘ
Қۨࣆ٫ዓဳྲդ౹үෳᅋಜᇘLjညตو٫ዓ
ဳྲդ౹وүෳᅋಜă

Ck-91
ቨᇒާ๖ ǖྩఛ٫ዓ৶࣒DŽቲDžᅘާ๖
ٜāā ǖߟڍෛቲชࢨসۢഘ৶ؙ࣒لྩ
ާ๖ண֎ ǖྩఛDŽቲ߶Džᄁᅘާ๖
ኢՋٜ ǖቲ߶DŽණ߽DžዔᅑᄁฎႵഘݙ໎ҽଁ 497 ࠟ
ٞქՍ ԩ

ױӶበቝคᅋᅢ FV ߶ࣨă
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Ҕ״ ǖ3125 ௰ 5 ᆨ!!!!!ቲ߶ᄩฺ
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