LittleSheep/SimpleMathCalc
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LittleSheep
2025-09-13 00:53:20 +08:00
parent 6e293d52c4
commit 4cf035f2f1
6 changed files with 108 additions and 7 deletions
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14
lib/solver_service.dart
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@@ -175,7 +175,7 @@ class SolverService {
CalculationStep(
title: '第二步：选择解法',
explanation: '无法进行因式分解，我们选择使用求根公式法。',
formula: r'\$\$\Delta = b^2 - 4ac\$\$',
formula: '\$\$\\Delta = b^2 - 4ac\$\$',
),
);
@@ -184,8 +184,8 @@ class SolverService {
CalculationStep(
title: '第三步：计算判别式 (Delta)',
explanation:
'\$\$\Delta = b^2 - 4ac = ($b)^2 - 4 \cdot ($a) \cdot ($c) = $delta\$\$',
formula: '\$\$\Delta = $delta\$\$',
'\$\$\\Delta = b^2 - 4ac = ($b)^2 - 4 \\cdot ($a) \\cdot ($c) = $delta\$\$',
formula: '\$\$\\Delta = $delta\$\$',
),
);
@@ -198,13 +198,13 @@ class SolverService {
explanation:
r'因为 $\Delta > 0$，方程有两个不相等的实数根。公式: $x = \frac{-b \pm \sqrt{\Delta}}{2a}$。',
formula:
'\$\$x_1 = ${x1.toStringAsFixed(4)}, \quad x_2 = ${x2.toStringAsFixed(4)}\$\$',
'\$\$x_1 = ${x1.toStringAsFixed(4)}, \\quad x_2 = ${x2.toStringAsFixed(4)}\$\$',
),
);
return CalculationResult(
steps: steps,
finalAnswer:
'\$\$x_1 = ${x1.toStringAsFixed(4)}, \quad x_2 = ${x2.toStringAsFixed(4)}\$\$',
'\$\$x_1 = ${x1.toStringAsFixed(4)}, \\quad x_2 = ${x2.toStringAsFixed(4)}\$\$',
);
} else if (delta == 0) {
final x = -b / (2 * a);
@@ -250,7 +250,7 @@ class SolverService {
formula:
'''
egin{cases}
\\begin{cases}
${a1}x ${b1 >= 0 ? '+' : ''} ${b1}y = $c1 & (1) \\
${a2}x ${b2 >= 0 ? '+' : ''} ${b2}y = $c2 & (2)
\\end{cases}
@@ -277,7 +277,7 @@ ${a2}x ${b2 >= 0 ? '+' : ''} ${b2}y = $c2 & (2)
formula:
'''
egin{cases}
\\begin{cases}
${newA1}x ${b1 * b2 >= 0 ? '+' : ''} ${b1 * b2}y = $newC1 & (3) \\
${newA2}x ${b1 * b2 >= 0 ? '+' : ''} ${b1 * b2}y = $newC2 & (4)
\\end{cases}