fix: improve doc link navigation and tree display

- Fix link resolution with proper relative/absolute path handling
- Improve link styling with underline decoration
- Hide leaf nodes from tree, only show directories
- Fix log file path for packaged app

docs/api/containers/string/starts-with.md

@@ -0,0 +1,39 @@
+# String::StartsWith
+
+```cpp
+bool StartsWith(const String& prefix) const;
+bool StartsWith(const char* prefix) const;
+```
+
+检查字符串是否以指定的前缀开头。
+
+**参数：**
+- `prefix` - 要检查的前缀（String 或 const char*）
+
+**返回：** 如果字符串以指定前缀开头则返回 `true`，否则返回 `false`
+
+**复杂度：** O(n)，其中 n 为前缀长度
+
+**示例：**
+```cpp
+#include "XCEngine/Containers/String.h"
+#include <iostream>
+
+int main() {
+    XCEngine::Containers::String s("Hello World");
+
+    std::cout << std::boolalpha;
+    std::cout << s.StartsWith("Hello") << std::endl;                     // 输出: true
+    std::cout << s.StartsWith(XCEngine::Containers::String("Hello")) << std::endl;  // 输出: true
+    std::cout << s.StartsWith("World") << std::endl;                      // 输出: false
+    std::cout << s.StartsWith("") << std::endl;                            // 输出: true
+
+    return 0;
+}
+```
+
+## 相关文档
+
+- [String 总览](string.md) - 返回类总览
+- [EndsWith](ends-with.md) - 检查后缀
+- [Find](find.md) - 查找子串