diff --git a/codes/minipro/calculation/miniprogram/pages/index/index.ts b/codes/minipro/calculation/miniprogram/pages/index/index.ts
index d0ab2f3..dfb7395 100644
--- a/codes/minipro/calculation/miniprogram/pages/index/index.ts
+++ b/codes/minipro/calculation/miniprogram/pages/index/index.ts
@@ -3,6 +3,23 @@ import { config } from '../../config';
 
 const app = getApp<IAppOption>()
 
+const MATH_QUOTES = [
+    "万物皆数 — 毕达哥拉斯",
+    "数学是科学的女皇 — 高斯",
+    "几何无王者之道 — 欧几里得",
+    "数统治着宇宙 — 毕达哥拉斯",
+    "上帝是一位算术家 — 雅可比"
+];
+
+const COMMON_FORMULAS = [
+    { title: "圆周率", value: "π ≈ 3.14159", icon: "🔴", desc: "无限不循环小数" },
+    { title: "黄金分割", value: "φ ≈ 0.618", icon: "✨", desc: "美的比例" },
+    { title: "自然常数", value: "e ≈ 2.718", icon: "📈", desc: "成长的极限" },
+    { title: "勾股定理", value: "a² + b² = c²", icon: "📐", desc: "直角三角形" },
+    { title: "欧拉公式", value: "e^(iπ) + 1 = 0", icon: "💫", desc: "最美公式" },
+    { title: "光速", value: "c ≈ 3×10⁸ m/s", icon: "⚡", desc: "宇宙速度极限" }
+];
+
 Component({
   data: {
     userInfo: {
@@ -10,11 +27,14 @@ Component({
       nickName: '未登录'
     },
     hasUserInfo: false,
-    greeting: ''
+    currentDate: '',
+    currentWeekday: '',
+    dailyQuote: '',
+    formulas: COMMON_FORMULAS
   },
   pageLifetimes: {
     show() {
-      this.updateGreeting();
+      this.updateDateDisplay();
       // 每次显示页面时，重新获取最新的用户信息
       const session = wx.getStorageSync('USER_SESSION');
       if (session && session.userInfo) {
@@ -26,7 +46,7 @@ Component({
         this.setData({
           userInfo: {
             avatarUrl: config.defaultAvatarUrl,
-            nickName: '点击登录'
+            nickName: '未登录' 
           },
           hasUserInfo: false
         });
@@ -39,6 +59,7 @@ Component({
             withShareTicket: false,
             menus: ['shareAppMessage', 'shareTimeline'] // 需要在 Component 中定义 onShareAppMessage
         });
+        this.selectDailyQuote();
     },
 
     onShareAppMessage() {
@@ -49,16 +70,23 @@ Component({
         return config.share;
     },
 
-    updateGreeting() {
-        const hour = new Date().getHours();
-        let greeting = '';
-        if (hour < 5) greeting = '夜深了，注意休息';
-        else if (hour < 9) greeting = '早上好，新的一天';
-        else if (hour < 12) greeting = '上午好';
-        else if (hour < 14) greeting = '中午好';
-        else if (hour < 19) greeting = '下午好';
-        else greeting = '晚上好';
-        this.setData({ greeting });
+    updateDateDisplay() {
+        const now = new Date();
+        const month = now.getMonth() + 1;
+        const day = now.getDate();
+        const weekdays = ['周日', '周一', '周二', '周三', '周四', '周五', '周六'];
+        const weekday = weekdays[now.getDay()];
+        
+        this.setData({ 
+            currentDate: `${month}月${day}日`,
+            currentWeekday: weekday
+        });
+    },
+
+    selectDailyQuote() {
+        // 简单的随机选择
+        const idx = Math.floor(Math.random() * MATH_QUOTES.length);
+        this.setData({ dailyQuote: MATH_QUOTES[idx] });
     },
 
     goToProfile() {
diff --git a/codes/minipro/calculation/miniprogram/pages/index/index.wxml b/codes/minipro/calculation/miniprogram/pages/index/index.wxml
index 332cdaa..78244b7 100644
--- a/codes/minipro/calculation/miniprogram/pages/index/index.wxml
+++ b/codes/minipro/calculation/miniprogram/pages/index/index.wxml
@@ -2,89 +2,98 @@
 <scroll-view class="scrollarea" scroll-y type="list">
   <view class="container">
     
-    <!-- 顶部背景区 -->
-    <view class="header-bg">
-        <view class="header-content" bindtap="goToProfile">
-            <view class="text-area">
-                <text class="greeting">{{greeting}}</text>
-                <text class="nickname">{{userInfo.nickName}}</text>
-            </view>
-            <view class="avatar-wrapper">
-                <image class="avatar" src="{{userInfo.avatarUrl}}"></image>
-            </view>
+    <!-- 顶部仪表盘背景区 -->
+    <view class="dashboard-header">
+        <view class="header-status-bar">
+             <view class="date-group">
+                <text class="date-text">{{currentDate}}</text>
+                <text class="weekday-text">{{currentWeekday}}</text>
+             </view>
+             <view class="user-entry" bindtap="goToProfile">
+                <image class="mini-avatar" src="{{userInfo.avatarUrl}}"></image>
+             </view>
+        </view>
+        <view class="daily-quote">
+            <text class="quote-text">“{{dailyQuote}}”</text>
         </view>
     </view>
 
-    <!-- 主要内容区（向上浮动覆盖背景） -->
+    <!-- 主要内容区 -->
     <view class="main-content">
-        <view class="section-title">工具箱</view>
+        
+        <!-- 新增内容：常用公式速查 -->
+        <view class="section-header">
+            <text class="section-title">常用公式</text>
+            <text class="section-more"></text>
+        </view>
+        <scroll-view class="formula-scroll" scroll-x enable-flex>
+            <view class="formula-card" wx:for="{{formulas}}" wx:key="title">
+                <view class="formula-icon">{{item.icon}}</view>
+                <view class="formula-info">
+                    <text class="formula-title">{{item.title}}</text>
+                    <text class="formula-value">{{item.value}}</text>
+                </view>
+            </view>
+        </scroll-view>
+
+        <!-- 工具箱 -->
+        <view class="section-header" style="margin-top: 40rpx;">
+            <text class="section-title">实用工具</text>
+        </view>
         
         <!-- 功能网格 -->
         <view class="grid-container">
-            <!-- 计算器 -->
-            <view class="grid-item" bindtap="goToCalculator" hover-class="grid-item-hover">
-                <view class="icon-box bg-gradient-blue">
-                    <text class="icon">🧮</text>
+            <!-- 计算器 (大卡片) -->
+            <view class="grid-item item-large" bindtap="goToCalculator" hover-class="grid-item-hover">
+                <view class="grid-bg bg-blue"></view>
+                <view class="grid-content">
+                    <view class="icon-box">
+                        <text class="icon">🧮</text>
+                    </view>
+                    <view class="text-box">
+                        <text class="label">科学计算器</text>
+                        <text class="sub-label">支持三角函数、对数及历史记录</text>
+                    </view>
+                    <view class="arrow-btn">GO</view>
                 </view>
-                <view class="text-box">
-                    <text class="label">科学计算器</text>
-                    <text class="sub-label">支持基础运算与科学函数</text>
-                </view>
-                <view class="arrow-icon">›</view>
             </view>
 
-            <!-- 单位换算 -->
-            <view class="grid-item" bindtap="goToUnitConverter" hover-class="grid-item-hover">
-                <view class="icon-box bg-gradient-green">
-                    <text class="icon">📏</text>
+            <view class="grid-row">
+                <!-- 单位换算 -->
+                <view class="grid-item item-half" bindtap="goToUnitConverter" hover-class="grid-item-hover">
+                    <view class="grid-bg bg-green"></view>
+                    <view class="grid-content vertical">
+                        <view class="icon-box-small">📏</view>
+                        <text class="label">单位换算</text>
+                        <text class="sub-label-small">多单位互转</text>
+                    </view>
                 </view>
-                <view class="text-box">
-                    <text class="label">单位换算</text>
-                    <text class="sub-label">长度 · 重量 · 面积 · 温度</text>
+                
+                <!-- 折扣计算 -->
+                <view class="grid-item item-half" bindtap="goToDiscount" hover-class="grid-item-hover">
+                    <view class="grid-bg bg-orange"></view>
+                    <view class="grid-content vertical">
+                        <view class="icon-box-small">🏷️</view>
+                        <text class="label">折扣计算</text>
+                        <text class="sub-label-small">计算折后价</text>
+                    </view>
                 </view>
-                <view class="arrow-icon">›</view>
-            </view>
-            
-            <!-- 折扣计算 -->
-            <view class="grid-item" bindtap="goToDiscount" hover-class="grid-item-hover">
-                <view class="icon-box bg-gradient-orange">
-                    <text class="icon">🏷️</text>
-                </view>
-                <view class="text-box">
-                    <text class="label">折扣计算</text>
-                    <text class="sub-label">快速计算折后价与节省金额</text>
-                </view>
-                <view class="arrow-icon">›</view>
             </view>
         </view>
 
-        <!-- 更多设置 -->
-        <view class="section-title" style="margin-top: 40rpx; display: block;">系统</view>
-        <view class="list-container">
-             <!-- 关于与帮助 -->
-            <view class="list-item" bindtap="goToAbout" hover-class="list-item-hover">
-                <view class="list-icon-box">
-                    <text class="icon-small">ℹ️</text>
-                </view>
-                <text class="list-label">关于与帮助</text>
-                <view class="arrow-icon">›</view>
+        <!-- 系统入口 -->
+        <view class="system-entry-row" bindtap="goToAbout" hover-class="list-item-hover">
+            <text class="sys-label">关于与帮助</text>
+            <view class="sys-right">
+                <text class="sys-icon">ℹ️</text>
+                <text class="arrow">></text>
             </view>
         </view>
-
-        <!-- 隐私政策 -->
-        <view class="privacy-link" bindtap="goToPrivacy" style="text-align: center; margin-top: 40rpx; padding-bottom: 20rpx;">
-             <text style="font-size: 24rpx; color: #999;">隐私政策</text>
+        
+        <view class="privacy-link" bindtap="goToPrivacy" style="text-align: center; margin-top: 60rpx; padding-bottom: 40rpx;">
+             <text style="font-size: 24rpx; color: #ccc;">隐私政策</text>
         </view>
 
-        <!-- 推广/banner区域 -->
-        <view class="banner" bindtap="goToProfile" wx:if="{{false}}">
-            <view class="banner-text">
-                <text class="banner-title">点击登录 / 完善信息</text>
-                <text class="banner-desc">绑定手机号，体验更多云端功能</text>
-            </view>
-            <view class="banner-icon">📝</view>
-        </view>
     </view>
-
   </view>
 </scroll-view>
diff --git a/codes/minipro/calculation/miniprogram/pages/index/index.wxss b/codes/minipro/calculation/miniprogram/pages/index/index.wxss
index 6a94509..44a368a 100644
--- a/codes/minipro/calculation/miniprogram/pages/index/index.wxss
+++ b/codes/minipro/calculation/miniprogram/pages/index/index.wxss
@@ -15,298 +15,329 @@ page {
   flex-direction: column;
 }
 
-/* 顶部背景区 */
-.header-bg {
+/* --- Dashboard Header --- */
+.dashboard-header {
   width: 100%;
-  height: 340rpx; /* Adjusted height */
-  background: #11616B; /* Color 01 - Solid Color */
-  border-bottom-left-radius: 0; /* Removed radius as requested */
-  border-bottom-right-radius: 0; /* Removed radius as requested */
+  height: auto;
+  min-height: 280rpx;
+  background: linear-gradient(135deg, #11616B 0%, #0D4E56 100%);
   padding: 40rpx;
   padding-top: 100rpx;
   box-sizing: border-box;
-  display: flex;
-  justify-content: center;
-  align-items: flex-start;
-  box-shadow: 0 4rpx 12rpx rgba(17, 97, 107, 0.15);
-  position: relative;
-  overflow: hidden;
-}
-
-/* Removed ::after pseudo-element to remove the large transparent circle */
-
-.header-content {
-  width: 100%;
-  display: flex;
-  justify-content: space-between;
-  align-items: center;
-  margin-top: 0;
-  height: auto;
-  position: relative; 
-  z-index: 2; 
-}
-
-.text-area {
   display: flex;
   flex-direction: column;
-  justify-content: center;
-  gap: 8rpx;
+  justify-content: flex-start;
+  color: #fff;
+  position: relative;
+  z-index: 1;
 }
 
-.greeting {
-  color: rgba(255, 255, 255, 0.9);
-  font-size: 28rpx;
-  font-weight: 500;
+.header-status-bar {
+    display: flex;
+    justify-content: space-between;
+    align-items: flex-start;
+    width: 100%;
+    margin-bottom: 30rpx;
 }
 
-.nickname {
-  color: #ffffff;
-  font-size: 48rpx;
-  font-weight: 700;
-  letter-spacing: 2rpx;
+.date-group {
+    display: flex;
+    flex-direction: column;
 }
 
-.avatar-wrapper {
-  padding: 6rpx;
-  background: rgba(255, 255, 255, 0.2);
-  border-radius: 50%;
-  backdrop-filter: blur(4rpx);
-  display: flex; /* Flex to center content */
-  align-items: center;
-  justify-content: center;
+.date-text {
+    font-size: 56rpx;
+    font-weight: bold;
+    line-height: 1.2;
 }
 
-.avatar {
-  width: 120rpx;
-  height: 120rpx;
-  border-radius: 50%;
-  background-color: #fff;
-  border: 4rpx solid #ffffff;
-  display: block; /* Remove inline spacing */
+.weekday-text {
+    font-size: 28rpx;
+    opacity: 0.8;
+    margin-top: 4rpx;
 }
 
-/* 主要内容区 */
+.user-entry {
+    background: rgba(255,255,255,0.2);
+    padding: 4rpx;
+    border-radius: 50%;
+    backdrop-filter: blur(4px);
+}
+
+.mini-avatar {
+    width: 72rpx;
+    height: 72rpx;
+    border-radius: 50%;
+    display: block;
+    background: #fff;
+}
+
+.daily-quote {
+    background: rgba(0,0,0,0.1);
+    padding: 16rpx 24rpx;
+    border-radius: 12rpx;
+    margin-top: 10rpx;
+    align-self: flex-start;
+    max-width: 90%;
+}
+
+.quote-text {
+    font-size: 26rpx;
+    font-style: italic;
+    opacity: 0.95;
+    line-height: 1.4;
+}
+
+/* --- Main Content --- */
 .main-content {
   flex: 1;
   width: 100%;
-  padding: 0 28rpx;
+  padding: 32rpx;
   box-sizing: border-box;
-  margin-top: 20rpx; /* Separated layout */
+  margin-top: -30rpx; 
   z-index: 10;
-  padding-bottom: 60rpx;
+  background: #f6f8fa;
+  border-top-left-radius: 30rpx;
+  border-top-right-radius: 30rpx;
+}
+
+.section-header {
+    display: flex;
+    justify-content: space-between;
+    align-items: center;
+    margin-bottom: 24rpx;
 }
 
 .section-title {
-  font-size: 32rpx;
-  font-weight: 700;
-  color: #2d3436;
-  margin-left: 10rpx;
-  margin-bottom: 20rpx;
-  display: none;
+  display: block !important;
+  font-size: 34rpx;
+  font-weight: bold;
+  color: #333;
+  position: relative;
+  padding-left: 16rpx;
+  margin: 0;
 }
 
-/* 卡片列表 */
+.section-title::before {
+    content: '';
+    position: absolute;
+    left: 0;
+    top: 50%;
+    transform: translateY(-50%);
+    width: 8rpx;
+    height: 32rpx;
+    background: #11616B;
+    border-radius: 4rpx;
+}
+
+/* Formula Scroll */
+.formula-scroll {
+    display: flex;
+    white-space: nowrap;
+    height: 160rpx;
+    width: 100%;
+}
+
+.formula-card {
+    display: inline-flex;
+    flex-direction: row;
+    align-items: center;
+    background: #fff;
+    width: 380rpx; /* Increased from 320rpx */
+    height: 140rpx;
+    margin-right: 20rpx;
+    border-radius: 20rpx;
+    padding: 24rpx;
+    box-sizing: border-box;
+    box-shadow: 0 4rpx 12rpx rgba(0,0,0,0.03);
+}
+
+.formula-icon {
+    font-size: 48rpx;
+    margin-right: 20rpx;
+    width: 60rpx;
+    text-align: center;
+    flex-shrink: 0; /* Prevent icon shrinking */
+}
+
+.formula-info {
+    display: flex;
+    flex-direction: column;
+    flex: 1;
+    overflow: hidden; /* Prevent text overflow */
+}
+
+.formula-title {
+    font-size: 26rpx; /* Slightly smaller title */
+    color: #666;
+    margin-bottom: 6rpx;
+}
+
+.formula-value {
+    font-size: 28rpx; /* Adjusted from 30rpx */
+    font-weight: bold;
+    color: #333;
+    font-family: serif;
+    white-space: nowrap;
+    overflow: hidden;
+    text-overflow: ellipsis;
+}
+
+/* --- Grid Layout --- */
+
 .grid-container {
-  display: flex;
-  flex-direction: column;
-  gap: 20rpx;
+    display: flex;
+    flex-direction: column;
+    gap: 24rpx;
 }
 
-/* 单个卡片 */
+/* Large Item (Calculator) */
 .grid-item {
-  background-color: #ffffff;
-  border-radius: 28rpx;
-  padding: 32rpx;
-  display: flex;
-  align-items: center;
-  box-shadow: 0 12rpx 36rpx rgba(17, 97, 107, 0.20); /* Increased shadow opacity and size for better contrast */
+    position: relative;
+    border-radius: 24rpx;
+    overflow: hidden;
+    background: #fff;
+    box-shadow: 0 4rpx 16rpx rgba(0,0,0,0.04);
+    transition: transform 0.1s;
+    /* Reset old styles */
+    padding: 0;
+    align-items: normal;
 }
 
 .grid-item-hover {
-  transform: scale(0.97);
-  background-color: #EBF4F8; /* Color 03 hover */
+    transform: scale(0.98);
+}
+
+.item-large {
+    height: 200rpx;
+    width: 100%;
+}
+
+.grid-bg {
+    position: absolute;
+    top: 0;
+    right: 0;
+    width: 200rpx;
+    height: 100%;
+    opacity: 0.1;
+    transform: skewX(-20deg) translateX(40rpx);
+    z-index: 0;
+}
+
+.bg-blue { background: #007AFF; }
+.bg-green { background: #34C759; }
+.bg-orange { background: #FF9500; }
+
+.grid-content {
+    position: relative;
+    z-index: 1;
+    display: flex;
+    align-items: center;
+    padding: 40rpx;
+    height: 100%;
+    box-sizing: border-box;
 }
 
 .icon-box {
-  width: 96rpx;
-  height: 96rpx;
-  border-radius: 24rpx;
-  display: flex;
-  align-items: center;
-  justify-content: center;
-  margin-right: 28rpx;
-  flex-shrink: 0;
+    width: 88rpx;
+    height: 88rpx;
+    background: rgba(17, 97, 107, 0.1);
+    border-radius: 20rpx;
+    display: flex;
+    align-items: center;
+    justify-content: center;
+    margin-right: 30rpx;
+    flex-shrink: 0;
 }
 
 .icon {
-  font-size: 46rpx;
-  color: #11616B; /* Icon color dark teal */
-}
-
-.bg-gradient-blue { 
-  background: #EBF4F8; /* Color 03 */
-}
-.bg-gradient-pink { 
-  background: #FED9CD; /* Color 04 */
-}
-.bg-gradient-green { 
-  background: #7BBDB6; /* Color 02 */
-}
-.bg-gradient-orange { 
-  background: #FED9CD; /* Color 04 */
-}
-.bg-gradient-purple { 
-  background: #DC8B70; /* Color 05 */
+    font-size: 44rpx;
+    color: #11616B;
 }
 
 .text-box {
-  display: flex;
-  flex-direction: column;
-  flex: 1;
-  min-width: 0;
+    flex: 1;
+    display: flex;
+    flex-direction: column;
 }
 
 .label {
-  font-size: 32rpx;
-  color: #2d3436;
-  font-weight: 700;
-  margin-bottom: 6rpx;
+    font-size: 34rpx;
+    font-weight: bold;
+    color: #333;
+    margin-bottom: 8rpx;
 }
 
 .sub-label {
-  font-size: 23rpx;
-  color: #b2bec3;
-  font-weight: 500;
+    font-size: 24rpx;
+    color: #999;
 }
 
-/* Banner */
-.banner {
-  margin-top: 30rpx;
-  background: linear-gradient(135deg, #6c5ce7 0%, #a29bfe 100%);
-  border-radius: 28rpx;
-  padding: 28rpx 36rpx;
-  display: flex;
-  justify-content: space-between;
-  align-items: center;
-  box-shadow: 0 12rpx 32rpx rgba(108, 92, 231, 0.3);
+.arrow-btn {
+    padding: 8rpx 24rpx;
+    background: #F0F0F0;
+    border-radius: 30rpx;
+    font-size: 24rpx;
+    font-weight: bold;
+    color: #666;
 }
 
-.banner-text {
-  display: flex;
-  flex-direction: column;
+/* Half Items Row */
+.grid-row {
+    display: flex;
+    justify-content: space-between;
+    gap: 24rpx;
 }
 
-.banner-title {
-  color: #fff;
-  font-weight: 700;
-  font-size: 30rpx;
-  margin-bottom: 8rpx;
+.item-half {
+    flex: 1;
+    height: 240rpx;
 }
 
-.banner-desc {
-  color: rgba(255,255,255,0.8);
-  font-size: 24rpx;
+.grid-content.vertical {
+    flex-direction: column;
+    align-items: flex-start;
+    justify-content: center;
+    padding: 30rpx;
 }
 
-.banner-icon {
-  font-size: 40rpx;
+.icon-box-small {
+    font-size: 56rpx;
+    margin-bottom: 20rpx;
 }
 
-/* 箭头 */
-.arrow-icon {
-  margin-left: auto;
-  font-size: 40rpx;
-  color: #ddd;
-  font-weight: 300;
-  flex-shrink: 0;
-  padding-left: 12rpx;
+.sub-label-small {
+    font-size: 22rpx;
+    color: #999;
+    margin-top: 6rpx;
 }
 
-/* 功能亮点区 */
-.feature-highlights {
-  margin-top: 24rpx;
-  background: #ffffff;
-  border-radius: 28rpx;
-  padding: 32rpx 36rpx;
-  box-shadow: 0 8rpx 32rpx rgba(108, 92, 231, 0.08);
+/* System Entry */
+.system-entry-row {
+    margin-top: 40rpx;
+    background: #fff;
+    padding: 30rpx 40rpx;
+    border-radius: 16rpx;
+    display: flex;
+    justify-content: space-between;
+    align-items: center;
+    box-shadow: 0 2rpx 8rpx rgba(0,0,0,0.02);
 }
 
-.highlight-title {
-  font-size: 28rpx;
-  font-weight: 700;
-  color: #2d3436;
-  margin-bottom: 20rpx;
-  letter-spacing: 1rpx;
+.sys-label {
+    font-size: 30rpx;
+    color: #333;
 }
 
-.highlight-list {
-  display: flex;
-  flex-direction: column;
-  gap: 18rpx;
-}
-
-.highlight-item {
-  display: flex;
-  align-items: center;
-  gap: 14rpx;
-  font-size: 25rpx;
-  color: #636e72;
-  font-weight: 500;
-}
-
-.highlight-dot {
-  font-size: 14rpx;
-  color: #6c5ce7;
-}
-
-/* 列表容器 */
-.list-container {
-  background-color: #ffffff;
-  border-radius: 20rpx;
-  overflow: hidden;
-  box-shadow: 0 4rpx 16rpx rgba(17, 97, 107, 0.08);
-}
-
-.list-item {
-  display: flex;
-  align-items: center;
-  padding: 30rpx;
-  background-color: #ffffff;
-  transition: background-color 0.1s;
+.sys-right {
+    display: flex;
+    align-items: center;
+    color: #999;
+    font-size: 28rpx;
+    gap: 10rpx;
 }
 
 .list-item-hover {
-  background-color: #f9f9f9;
-}
-
-.list-icon-box {
-  width: 56rpx;
-  height: 56rpx;
-  background-color: #EBF4F8;
-  border-radius: 16rpx;
-  display: flex;
-  align-items: center;
-  justify-content: center;
-  margin-right: 24rpx;
-}
-
-.icon-small {
-  font-size: 32rpx;
-}
-
-.list-label {
-  flex: 1;
-  font-size: 30rpx;
-  color: #333;
-  font-weight: 500;
-}
-
-.section-title {
-  display: block !important; /* Ensure visibility */
-  font-size: 28rpx;
-  color: #999;
-  margin-bottom: 20rpx;
-  margin-left: 10rpx;
-  font-weight: 500;
+    background: #f9f9f9;
 }