sin^2B-sin^2C=√2/2sinAsinB,且a=√2/2b

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sin^2B-sin^2C=√2/2sinAsinB,且a=√2/2b

sin^2B-sin^2C=√2/2sinAsinB,且a=√2/2b
sin^2B-sin^2C=√2/2sinAsinB,且a=√2/2b

sin^2B-sin^2C=√2/2sinAsinB,且a=√2/2b
sin^2B-sin^2C=√2/2sinAsinB
由正弦定理得:
b^2-c^2=√2/2ab
a=√2/2b
得:c=√2/2b
即此三角形为等腰三角形
又a^2+c^2=b^2
所以此三角形为等腰直角三角形
即∠A=∠C=45,∠B=90
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