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2008-04-08 1:14 am
若0≤∅≤π,且x的方程(2sin∅)x-2x-cox∅=0有等根,求∅的值。

回答 (1)

2008-04-08 1:50 am
✔ 最佳答案
Delta = 0 for (2 sinφ)x2 - 2x - cosφ = 0 has equal roots, i.e.
22 - 4 ( 2 sinφ)( - cosφ) = 0
1 + 2 sinφcosφ= 0
sin 2φ= -1
2φ= 3π/ 2
φ= 3π/ 4
參考: My Maths Knowledge


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