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Ristküliku pindala

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108 Terms

1

Ristküliku pindala

S=a*b

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2

Ristküliku ümbermõõt

P=2*(a+b)

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3

Risttahuka täispindala

St=2Sp+Sk

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4

Risttahuka ruumala

V=Sp*H

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5

Püramiidi külgpindala

Sk=Pm/2=3*S(külje kolmnurk)

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6

Püramiidi täispindala

St=Sk+Sp

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7

Püramiidi ruumala

V=1/3SpH

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8

Püstprisma küljepindala

Sk=P*H

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9

Püstprisma täispindala

St=Sk+2*Sp

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10

Püstprisma ruumala

V=Sp*H

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11

Koonuse külgpindala

Sk=πrm

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12

Koonuse põhjapindala

Sp=π*r²

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13

Koonuse täispindala

St=Sk+Sp

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14

Koonuse ruumala

V=1/3Sph

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15

Silindri põhjapindala

Sp=π*r²

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16

Silindri külgpindala

Sk=2πr*H

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17

Silindri täispindala

St=2*Sp+Sk

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18

Silindri ruumala

V=Sp*H

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19

Kera pindala

S=4π

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20

Kera ruumala

V=4/3πr^3

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21

Trapetsi pindala

S=((a+b)/2)*h

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22

Rombi pindala

S=(d₁*d₂)/2

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23

Rombi diagonaalide ja külgede suhe

(d₁)²*(d₂)²=4*a²

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24

Rööpküliku pindala

S=a*h

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25

Rööpküliku diagonaalide ja külgede suhe

(d₁)²*(d₂)²=2*(a²+b²)

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26

Siinusteoreem

a/sinα=b/sinβ=c/sinγ

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27

Koossiinusteoreem

a²=b²+c²-2bc*cosα

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28

Kolmnurga pindala

S=a*h/2

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29

Aritmeetilise jada n liige

an=a₁+(n-1)d

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30

Aritmeetilise jada d

d=a₂-a₁

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31

Aritmeetilise jada summa

Sn=((a₁+an)/2)*n

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32

Geomeetrilise jada n liige

an=a₁*q^(n-1)

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33

Geomeetrilise jada q

q=a₂/a₁

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34

Geomeetrilise jada summa

Sn=a₁*((q^n)-1)/(q-1)

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35

(u±v)'

u'±v'

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36

(u*v)'

u'v+v'u

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37

(u/v)'

(u'v-v'u)/v²

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38

c'

0

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39

x'

1

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40

(x^n)'

n*x^(n-1)

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41

(√x)'

1/2√x

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42

(1/x)'

-1/x²

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43

(e^x)'

e^x

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44

(lnx)'

1/x

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45

(log₂(x))'

1/(x*ln(2))

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46

(sinx)'

cosx

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47

(cosx)'

-sinx

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48

(tanx)'

1/cos²x

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49

logₙ(b)=c →

n^c=b

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50

log.a.(1)

0

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51

log.a.(a)

1

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52

log₁₀x

logx

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53

loge(a)

ln(a)

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54

loga(x*y)

loga x+loga y

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55

logₙ(x/y)

logₙx-logₙy

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56

log “a”=log”n”

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57

logₙ(x^a)

a*logₙx

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58

logₙ(b)

1/logb(n)

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59

logₙb

logc(b)/logc(n)

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60

log10

1

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61

lne

1

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62

Funktsiooni nullkohad

f(x)=0

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63

Funktsiooni positiivsuspiirkond

f(x)>0

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64

Funktsiooni ekstreemumkohad

f'(x)=0

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65

Kasvamispiirkond

f'(x)>0

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66

Funktsiooni käänukoht

f''(x)=0

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67

Sirge võrrand

y-y₀=k(x-x₀)

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68

Sirge tõus

k=f'(x₀)=(y₂-y₁)/(x₂-x₁)

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69

sirge võrrand ilma k-ta

(y-y₁)/(y₂-y₁)=(x-x₁)/(x₂-x₁)

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70

∫dx

x+C

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71

∫x²dx

(x³/3)+C

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72

∫e^xdx

e^x + C

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73

∫(1/x)dx

ln|x| + C

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74

∫sinxdx

-cos(x)+c

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75

∫cosxdx

sin(x)+c

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76

a²-b²

(a-b)(a+b)

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77

a-b

(√a-√b)(√a+√b)

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78

(a±b)²

a²±2ab+b²

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79

a³±b³

(a±b)(a²∓ab+b²)

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80

(a±b)³

a³ ± 3a²b + 3ab²±b³

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81

sin²α+cos²α

1

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82

sinα/cosα

tanα

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83

1+tan²α

1/cos²α

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84

sin(90°-α)

cosα

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85

cos(90°-α)

sinα

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86

tan(90°-α)

1/tanα

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87

sin(α±β)

sinαcosβ±cosαsinβ

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88

cos(α±β)

cosαcosβ∓sinαsinβ

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89

sin2α

2sinαcosα

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90

cos2α

cos²α-sin²α

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91

a⁰

1

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92

a

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93

a^m*a^n

a^(m+n)

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94

a^m/a^n

a^(m-n)

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95

(ab)ⁿ

aⁿbⁿ

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96

(a/b)ⁿ

aⁿ/bⁿ

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97

(a^m)^n

a^(n*m)

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98

a^(-n)

1/a^n

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99

a^(m/n)

ⁿ√a^m

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100

√(a*b)

√a*√b

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