一元一次方程是指形如 ax + b = 0 的方程,其中 a 和 b 是常数,且 a ≠ 0。下面是一些一元一次方程的难题精选:
1. 难题一:
解方程:2(x 3) 3(x + 2) = 5x 8
解答:
2(x 3) 3(x + 2) = 5x 8
2x 6 3x 6 = 5x 8
-x 12 = 5x 8
-x 5x = -8 + 12
-6x = 4
x = -4/6
x = -2/3
2. 难题二:
解方程:3(2x 1) + 4(3x + 2) = 2x + 8
解答:
3(2x 1) + 4(3x + 2) = 2x + 8
6x 3 + 12x + 8 = 2x + 8
18x + 5 = 2x + 8
18x 2x = 8 5
16x = 3
x = 3/16
3. 难题三:
解方程:5(x 2) 3(2x + 1) = 2x 9
解答:
5(x 2) 3(2x + 1) = 2x 9
5x 10 6x 3 = 2x 9
-x 13 = 2x 9
-x 2x = -9 + 13
-3x = 4
x = -4/3
4. 难题四:
解方程:2(x + 3) 3(x 2) = 4(x 1) + 5
解答:
2(x + 3) 3(x 2) = 4(x 1) + 5
2x + 6 3x + 6 = 4x 4 + 5
-x + 12 = 4x + 1
-x 4x = 1 12
-5x = -11
x = 11/5
5. 难题五:
解方程:5(x 1) 2(3x + 4) = 3(x + 2) 7
解答:
5(x 1) 2(3x + 4) = 3(x + 2) 7
5x 5 6x 8 = 3x + 6 7
-x 13 = 3x 1
-x 3x = -1 + 13
-4x = 12
x = -12/4
x = -3
这些难题可以帮助你提高解一元一次方程的能力。在解题过程中,注意观察方程的特点,运用适当的代数运算和化简技巧。