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a|+|b|=|c|,|a|-b=|c|,, so the absolute value of c is the largest, and a+b+c 0 so c is greater than zero.
And |b|Less than |c|,|a|+|b|=|c|, so |a|Less than |c|, so a is greater than zero.
then A and C have the same sign.
Hope, thank you
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The solution can be obtained from the meaning of the question: a+b+c 0, b 0
So a+b>-c
And because |a|+|b|=|c|, so we can launch a,b different name a>0 so |a|+|b|=a-b=c or -c
When a-b=-c, we get a+c=b<0 which contradicts what we know a+b+c 0.
So a-b=c>0
So a>0, c>0
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Solution: c|-|a|=|b|
and 0>b>-a-c
Therefore, there is: a+c|>|b|>0
Therefore|a+c|>|c|-|a| (
Both sides are squared and organized.
ac>0
Therefore, AC has the same name.
and from a+b+c>0, b<0
Therefore, it is known that a>0, c>0
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Because iai+ibi=ici, when b<0 and c<0, the sum of the three must be less than zero, which is inconsistent with the original condition a+b+c>0, so c>0
In the same way, it can be proved that if a<0, then the sum of the three is equal to zero, which is inconsistent with the original condition a+b+c>0, so a>0
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According to Yu Shensen's string theorem: Kuanshi mu a 2 = b 2 + c 2-2bc * cosa is obtained by the title (a + c) (a-c) = b (b + c).
b^2+c^2-a^2)=-bc;
From the cosine theorem, cosa=(b 2+c 2-a 2) 2bc=-1 2; The approved manuscript is cosa=-1 2; So a = 120 degrees.
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Because a 0, b 0, so a+b 0 and because b 0, c 0, so c-b 0, b-c 0 is positive according to the multiplication of two numbers with the same sign, and the different sign is negative (a+b)(c-b) 0, (a+b)(b-c) 0, so (a+b)(c-b) (a+b)(b-c).
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The answer is b
Note that there is no cornering principle. Drawing a line from an obtuse angle in an obtuse triangle and constructing an isosceles triangle with a short side as one side proves that the edge is incorrect. Because a large obtuse triangle and a small obtuse triangle are two sides and one angle equal.
ab=ac ad=ad d= d, but bad and cad are not congruent in the same way, and there is no corner edge principle to prove congruence.
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Solution: A, correct, in line with SAS judgment;
b, incorrect, because the sides bc and b c are not on the side of a and a, so two triangles cannot be congruent;
c. Correct, in line with AAS judgment;
d, correct, in accordance with the ASA judgment;
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abc 0, and b grip 0, ac bright call 0, a c, segment key eggplant.
a>0 c<0.
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Sine theorem. b/sinb=c/sinc
b=csinb/sinc
Gen3 Gen3 2) (Gen6 Gen2) 4
6 (root 6, ten root 2).
3 (root 6 a 2) 2
3 roots 6 3 roots 2) 2
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A=a-b, b=c-b then the original formula becomes:
a-b+c-b)^2-4(a-b)(c-b)=(a+b)^2-4ab=(a-b)^2=0
So a=b, i.e. a-b=c-b
So a=c
The original form can be reduced to:
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