某学生在解方程 3(x - 4) = 2x + 5 时,第一步将等式两边同时展开,得到 3x - 12 = 2x + 5。接下来,他将含 x 的项移到等式左边,常数项移到右边,得到 ___ = ___。
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圆锥的侧面展开图是一个扇形,其弧长等于圆锥底面的周长,半径等于圆锥的母线长。
1. 计算底面周长:C = 2πr = 2π × 3 = 6π(cm)。
2. 扇形半径为母线长5 cm,设圆心角为θ度,则扇形弧长公式为:(θ/360) × 2π × 5 = (θ/360) × 10π。
3. 令扇形弧长等于底面周长:(θ/360) × 10π = 6π。
4. 两边同时除以π,得:(θ/360) × 10 = 6。
5. 解得:θ = (6 × 360) / 10 = 216°。
因此,该圆锥侧面展开图的圆心角为216°,正确答案为A。
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