MCP server for study aids: element table, formula lookup and knowledge-point practice.
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化学方程式配平：输入未配平的化学方程式（反应物=生成物，用 = 或 → 连接，物质间用 + 连接），自动用线性代数（齐次线性方程组整数解）求出最简整数系数，返回配平后的方程式、各物质系数与原子守恒校验。示例："Fe+O2=Fe3O4"、"C2H6+O2=CO2+H2O"、"KMnO4=K2MnO4+MnO2+O2"、"Cu+HNO3=Cu(NO3)2+NO+H2O"。支持括号（如 Ca(OH)2、Fe2(SO4)3）。注意：仅支持分子反应方程式，不支持离子方程式与电极反应。
化学方程式字符串，如 "Fe+O2=Fe3O4"、"C2H6+O2=CO2+H2O"
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化学方程式配平：输入未配平的化学方程式（反应物=生成物，用 = 或 → 连接，物质间用 + 连接），自动用线性代数（齐次线性方程组整数解）求出最简整数系数，返回配平后的方程式、各物质系数与原子守恒校验。示例："Fe+O2=Fe3O4"、"C2H6+O2=CO2+H2O"、"KMnO4=K2MnO4+MnO2+O2"、"Cu+HNO3=Cu(NO3)2+NO+H2O"。支持括号（如 Ca(OH)2、Fe2(SO4)3）。注意：仅支持分子反应方程式，不支持离子方程式与电极反应。
| Argument | Type | Description |
|---|---|---|
| equation* | string | 化学方程式字符串，如 "Fe+O2=Fe3O4"、"C2H6+O2=CO2+H2O" |
{
"type": "object",
"required": [
"equation"
],
"properties": {
"equation": {
"type": "string",
"description": "化学方程式字符串，如 \"Fe+O2=Fe3O4\"、\"C2H6+O2=CO2+H2O\""
}
},
"additionalProperties": false
}化学式摩尔质量计算：输入化学式（如 H2SO4、Ca(OH)2、Fe2(SO4)3、CuSO4·5H2O），返回摩尔质量（g/mol）、各元素的原子个数、质量贡献与质量分数（%）。支持括号嵌套与结晶水合物（用 · 连接）。放射性元素无标准原子量时会提示。
| Argument | Type | Description |
|---|---|---|
| formula* | string | 化学式，如 "H2SO4"、"Ca(OH)2"、"CuSO4·5H2O" |
{
"type": "object",
"required": [
"formula"
],
"properties": {
"formula": {
"type": "string",
"description": "化学式，如 \"H2SO4\"、\"Ca(OH)2\"、\"CuSO4·5H2O\""
}
},
"additionalProperties": false
}元素周期表查询（118 种元素全量本地数据）：按中文名（如 氧、铁、金）、元素符号（如 O、Fe、Au，大小写不敏感）或原子序数（1-118）查询，返回原子序数、符号、中文名、相对原子质量、族/周期、元素类别与常见化合价。不传 query 时返回全部 118 种元素。数据为本地 SQLite，无需联网。
| Argument | Type | Description |
|---|---|---|
| limit | integer | 模糊匹配时最多返回条数，默认 20 |
| query | any | 中文名 / 元素符号 / 原子序数；留空返回全部元素 |
{
"type": "object",
"properties": {
"limit": {
"type": "integer",
"default": 20,
"description": "模糊匹配时最多返回条数，默认 20"
},
"query": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null,
"description": "中文名 / 元素符号 / 原子序数；留空返回全部元素"
}
},
"additionalProperties": false
}中小学数学求解器，支持五类问题（结果尽量给出分数/根式精确形式+小数近似）：① kind='quadratic' 一元二次方程求根：传 expr 如 "x²-5x+6=0"、"2x^2+3x-2=0"，或系数 a,b,c（ax²+bx+c=0），返回判别式 Δ 分析（两实根/重根/无实根）与精确根、复数根提示；② kind='linear2' 二元一次方程组：传 eq1/eq2 如 eq1='2x+3y=8', eq2='x-y=1'，或系数 a1,b1,c1,a2,b2,c2；③ kind='combination' 组合数 C(n,k)：传 n,k 或 expr='C(5,2)'；④ kind='permutation' 排列数 A(n,k)：传 n,k 或 expr='A(5,2)'；⑤ kind='sequence' 数列：seq_type='arithmetic'/'geometric'，传 first(首项)、common(公差d/公比q)、terms(项数n)，返回第 n 项与前 n 项和。不传 kind 直接传 expr 可自动识别题型。
| Argument | Type | Description |
|---|---|---|
| a | any | |
| b | any | |
| c | any | |
| k | any | |
| n | any | |
| a1 | any | |
| a2 | any | |
| b1 | any | |
| b2 | any | |
| c1 | any | |
| c2 | any | |
中学物理公式计算器（力学+电学）：传入已知物理量，自动匹配公式求未知量。覆盖公式族：牛顿第二定律 F=ma（F力N/m质量kg/a加速度m/s²）、重力 G=mg（g默认9.8N/kg，可传g=10）、压强 p=F/S（Pa/N/m²）、欧姆定律 I=U/R（A/V/Ω）、电功 W=UIt（J/V/A/s）、电功率 P=UI（W/V/A）、动能 Ek=½mv²（J/kg/m·s⁻¹）、匀变速直线运动 v=v0+at 与 s=v0t+½at²。用法：直接传参如 m=2,a=3 求 F；或传 expr="m=2,a=3" / "质量=50"；也可用 formula 指定公式族。全部使用国际单位制，结果带单位与解题步骤。
| Argument | Type | Description |
|---|---|---|
| F | any | |
| G | any | |
| I | any | |
| P | any | |
| R | any | |
| S | any | |
| U | any | |
| W | any | |
| a | any | |
| g | any | |
| m | any | |
| p | any | |
We read every tool's name, description and inputs the way the model will, looking for instructions hidden from you. A clean result means no warning signs, not a guarantee. Scanned Nov 9, 2026.
No readOnlyHint / destructiveHint annotations, so clients can't tell a read from a write without asking.
Fix: Add annotations to each tool, e.g. { readOnlyHint: true } for tools that only read.
| eq1 |
| any |
| eq2 | any |
| expr | any | 表达式字符串，如 "x²-5x+6=0"、"2x+3y=8;x-y=1"、"C(5,2)"、"等差数列 a1=2,d=3,n=10" |
| kind | any | quadratic / linear2 / combination / permutation / sequence，留空则按 expr 自动识别 |
| first | any |
| terms | any |
| common | any |
| seq_type | any |
{
"type": "object",
"properties": {
"a": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"b": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"c": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"k": {
"anyOf": [
{
"type": "integer"
},
{
"type": "null"
}
],
"default": null
},
"n": {
"anyOf": [
{
"type": "integer"
},
{
"type": "null"
}
],
"default": null
},
"a1": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"a2": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"b1": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"b2": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"c1": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"c2": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"eq1": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null
},
"eq2": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null
},
"expr": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null,
"description": "表达式字符串，如 \"x²-5x+6=0\"、\"2x+3y=8;x-y=1\"、\"C(5,2)\"、\"等差数列 a1=2,d=3,n=10\""
},
"kind": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null,
"description": "quadratic / linear2 / combination / permutation / sequence，留空则按 expr 自动识别"
},
"first": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"terms": {
"anyOf": [
{
"type": "integer"
},
{
"type": "null"
}
],
"default": null
},
"common": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"seq_type": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null
}
},
"additionalProperties": false
}| s |
| any |
| t | any |
| v | any |
| Ek | any |
| v0 | any |
| expr | any | 可选，已知量字符串，如 "m=2,a=3"、"U=220,I=0.5" |
| formula | any | 可选，指定公式族（如 "F=ma"、"欧姆定律"、"动能"） |
{
"type": "object",
"properties": {
"F": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"G": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"I": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"P": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"R": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"S": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"U": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"W": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"a": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"g": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"m": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"p": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"s": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"t": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"v": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"Ek": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"v0": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"default": null
},
"expr": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null,
"description": "可选，已知量字符串，如 \"m=2,a=3\"、\"U=220,I=0.5\""
},
"formula": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"default": null,
"description": "可选，指定公式族（如 \"F=ma\"、\"欧姆定律\"、\"动能\"）"
}
},
"additionalProperties": false
}