history "MatheGKL1":Projekt Einsparzähler

Revision history for MatheGKL1

Revision [62731]

Last edited on 2015-12-06 12:18:29 by Jorina Lossau

Additions:

= (3/(√2-1))* (√2+1/√2+1)
= (3*√2+3)/(2-1)
=3*√2+3

Deletions:

~~{{files}}~~

Revision [62730]

Edited on 2015-12-06 12:15:33 by Jorina Lossau

Additions:

Deletions:

~~{{image url="vereinfachen4.jpg" width="70" class="left"}}~~

Revision [62729]

Edited on 2015-12-06 12:14:21 by Jorina Lossau

Additions:

√27/(√6-√3) = √(3*9)/(√(2*3)-√3) =
{{image url="vereinfachen4.jpg" width="70" class="left"}}

Revision [62728]

Edited on 2015-12-06 12:02:54 by Jorina Lossau

Additions:

= x³+y³/x+y
**e)**

Revision [62727]

Edited on 2015-12-06 12:01:29 by Jorina Lossau

Additions:

Deletions:

~~{{image url="vereinfachen3.jpg" width="350" class="left"}}~~

Revision [62726]

Edited on 2015-12-06 12:00:15 by Jorina Lossau

Additions:

**d)**
(x²/y + y²/x)/(1/x + 1/y) =
{{image url="vereinfachen3.jpg" width="350" class="left"}}

Revision [62725]

Edited on 2015-12-06 11:36:14 by Jorina Lossau

Additions:

**c)**
(x+y/x-y) + (x-y/ x+y)
= ((x+y)² + (x-y)²)/((x-y)*(x+y))
= (x² + 2xy + y² + x² - 2xy + y²)/x²-y²
= (2x² + 2y²)/ (x²-y²)

Deletions:

~~**b**~~

Revision [62724]

Edited on 2015-12-06 11:08:01 by Jorina Lossau

Additions:

**0.1.4.T**
1/xy + 1/xz + 1/yz
= z/xyz + y/xyz + x/xyz
= (x+y+z)* 1/xyz
**b**
(u/v - v/u)*(u/v+v/u) = (u²+v²/uv)
= (1/(uv)²)* (u²-v²)* (u²+v²)
= (1/(uv)²)* (u^4-v^4)

Revision [62723]

Edited on 2015-12-06 10:21:56 by Jorina Lossau

Additions:

**Berechnen Sie ohne Taschenrechner (erst möglichst viel kürzen, Primfaktorzerlegung!)**
**a)**
**umstellen nach R1:**
**b)**
Rp = 1/(1/R1 + 1/R2 + 1/R3)
1/Rp = 1/R1 + 1/R2 + 1/R3
1/R1 = 1/Rp - 1/R2 - 1/R3 =
(R2R3 - RpR3 - RpR2) / RpR2R3
R1 = (RpR2R3)/ R2R3 - RpR3 - RpR2

Deletions:

Berechnen Sie ohne Taschenrechner (erst möglichst viel kürzen, Primfaktorzerlegung!)
a)
umstellen nach R1:

Revision [62722]

Edited on 2015-12-06 09:42:24 by Jorina Lossau

Additions:

= (0,12*30*10^-6*8*10^3)/(10^-4*5^2*2^-2)
= (12*3*8*4)/5^2
= ((3*2^2*3*2^3*2^2)/5^2)* (2^2/2^2)
= (2^9*9)/100 = 5,12*9 = 46,08 1/cm
**Fassen Sie auf einen gemeinsamen Nenner zusammen, beseitigen Sie ggf. Mehrfachbrüche und machen Sie ggf. den Nenner rational**
**0.1.3.T**
a)
Rp = 1/(1/R1 + 1/R2)
(1/Rp)* (R1R2/R1R2) = (1/R1)*(RpR2/RpR2)+1/R2*(RpR2/RpR2)
R1R2/RpR1R2 = RpR2/RpR1R2 + RpR1/RpR1R2
R1R2 = RpR2 + RpR1
umstellen nach R1:
R1R2 - RpR1 = RpR2
R1(R2-Rp) = RpR2
R1 = (Rp*R2)/(R2-Rp)

Revision [62721]

Edited on 2015-12-06 08:28:57 by Jorina Lossau

Additions:

Deletions:

~~{{image url="vereinfachen2.jpg" width="300" class="left"}}~~

Revision [62720]

Edited on 2015-12-06 08:28:24 by Jorina Lossau

Additions:

**0.1.2.T**
B =
{{image url="vereinfachen2.jpg" width="300" class="left"}}

Revision [62719]

Edited on 2015-12-06 08:11:27 by Jorina Lossau

Additions:

A =(5^3*3^2*2^2*3^2*2^11*3)/(2^4*3^4*2^3*5^3*2^6*3^3*2^3*2)
A =1/(2^4*3^2)
= 1/(4*3)^2
=1/144

Revision [62718]

Edited on 2015-12-05 08:50:37 by Jorina Lossau

No Differences

Revision [62717]

Edited on 2015-12-05 08:40:33 by Jorina Lossau

Additions:

||
Berechnen Sie ohne Taschenrechner (erst möglichst viel kürzen, Primfaktorzerlegung!)
**0.1.1.T**
A =
{{image url="vereinfachen1.jpg" width="300" class="left"}}
||

Revision [62716]

Edited on 2015-12-05 08:32:43 by Jorina Lossau

Additions:

Deletions:

{{image url="MatheGKL11.jpg" width="650" class="center"}}
{{image url="MatheGKL12.jpg" width="650" class="center"}}
{{image url="MatheGKL13.jpg" width="650" class="center"}}

Revision [43891]

Edited on 2014-08-28 17:50:27 by Jorina Lossau

Additions:

===Umformen und Vereinfachen Mathematischer Terme - Lösungen===

Deletions:

~~===Mathematische Therme - Lösungen===~~

Revision [43888]

Edited on 2014-08-28 17:40:10 by Jorina Lossau

Deletions:

~~{{files}}~~

Revision [43887]

Edited on 2014-08-28 17:39:43 by Jorina Lossau

Additions:

===Mathematische Therme - Lösungen===
{{image url="MatheGKL11.jpg" width="650" class="center"}}
{{image url="MatheGKL12.jpg" width="650" class="center"}}
{{image url="MatheGKL13.jpg" width="650" class="center"}}
||**{{files download="MatheGKL1.pdf"text="PDF Dokument Lösungen Mathematische Terme"}}**||

Deletions:

===Mathematische Therme Lösungen===
{{image url="MatheGKL1.jpg" width="650" class="center"}}
||**{{files download="MatheGKL1.pdf"text="PDF Dokument Aufgaben Mathematische Terme"}}**||

Revision [43886]

The oldest known version of this page was created on 2014-08-28 17:35:02 by Jorina Lossau