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Консультация № 106878
26.10.2007, 13:03
0.00 руб.
0
3
3
Ребенку задали. Подскажите. Упростить выражение.
А= 2х- |х-1| + |х+1|
А= 2х- |х-1| + |х+1|
Обсуждение
Неизвестный
26.10.2007, 13:26
общий
это ответ
<font color=red><b>!!!</b></font>
Здравствуйте, Alexander Babich!
A=2*x+2*sign(x)=2*(x+sign(x)) <font color=red>!!! Эта формула неверна. Например, при x=1/2 должно быть A=2, а по Вашей формуле получается A=3</font>
Где
sign(x) =
0 при x = 0
1 при x>0
-1 при x<0
Ничего другово в голову не лезет =)<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i></i>
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</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 26.10.2007, 13:55</font></fieldset>
Здравствуйте, Alexander Babich!
A=2*x+2*sign(x)=2*(x+sign(x)) <font color=red>!!! Эта формула неверна. Например, при x=1/2 должно быть A=2, а по Вашей формуле получается A=3</font>
Где
sign(x) =
0 при x = 0
1 при x>0
-1 при x<0
Ничего другово в голову не лезет =)<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i></i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 26.10.2007, 13:55</font></fieldset>
Неизвестный
26.10.2007, 13:45
общий
это ответ
Здравствуйте, Alexander Babich!
Рассмотрим три случая.
1. x ≤ -1, тогда |x-1| = -(x-1), |x+1| = -(x+1),
A = 2x + (x-1) – (x+1) = 2x – 2.
2. -1 < x ≤ 1, тогда |x-1| = -(x-1), |x+1| = x+1,
A = 2x + (x-1) + (x+1) = 4x.
3. x > 1, тогда |x-1| = x-1, |x+1| = x+1,
A = 2x – (x-1) + (x+1) = 2x + 2.
Ответ: A = 2x-2 при x ≤ -1; A = 4x при -1 < x ≤ 1; A = 2x+2 при x > 1.
Рассмотрим три случая.
1. x ≤ -1, тогда |x-1| = -(x-1), |x+1| = -(x+1),
A = 2x + (x-1) – (x+1) = 2x – 2.
2. -1 < x ≤ 1, тогда |x-1| = -(x-1), |x+1| = x+1,
A = 2x + (x-1) + (x+1) = 4x.
3. x > 1, тогда |x-1| = x-1, |x+1| = x+1,
A = 2x – (x-1) + (x+1) = 2x + 2.
Ответ: A = 2x-2 при x ≤ -1; A = 4x при -1 < x ≤ 1; A = 2x+2 при x > 1.
Неизвестный
27.10.2007, 00:48
общий
это ответ
<font color=blue><b>!!!</b></font>
Здравствуйте, Alexander Babich!
При x < -1
A = 2x + x - 1 - x - 1 = 2x - 2
При -1 <= x < 1
A =2x + x - 1 + x + 1 = 4x
При 1 <= x
A = 2x - x + 1 + x + 1 = 2x + 2
2x - 2 при x < -1
A= 4x при -1 <= x < 1
2x + 2 при 1 <= x
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:blue 1px solid; padding:10px;‘ class=fieldset><font color=blue><i>Повторный ответ</i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 27.10.2007, 20:37</font></fieldset>
Здравствуйте, Alexander Babich!
При x < -1
A = 2x + x - 1 - x - 1 = 2x - 2
При -1 <= x < 1
A =2x + x - 1 + x + 1 = 4x
При 1 <= x
A = 2x - x + 1 + x + 1 = 2x + 2
2x - 2 при x < -1
A= 4x при -1 <= x < 1
2x + 2 при 1 <= x
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:blue 1px solid; padding:10px;‘ class=fieldset><font color=blue><i>Повторный ответ</i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 27.10.2007, 20:37</font></fieldset>
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