Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

Deprecated: Array and string offset access syntax with curly braces is deprecated in /www/wwwroot/hkewang.com/index.php on line 4

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2021年山东专升本高等数学三考试大纲免费在线下载 - 荟课网

2021年山东专升本高等数学三考试大纲免费在线下载

2021-03-15 0 106 百度已收录

山东省 2021 年普通高等教育专科升本科招生考试

高等数学Ⅲ考试要求

Ⅰ. 考核内容与要求

本科目考试要求考生掌握高等数学的基本概念、基本理论和基本方法,

主要考查学生识记、理解、计算和应用能力,为进一步学习奠定基础。具体

内容与要求如下:

一、函数、极限与连续

(一)函数

1.理解函数的概念,会求函数的定义域、表达式及函数值,会建立应用

问题的函数关系。

2.掌握函数的有界性、单调性、周期性和奇偶性。

3.理解分段函数、反函数和复合函数的概念。

4.掌握函数的四则运算与复合运算。

5.掌握基本初等函数的性质及其图形,理解初等函数的概念。

(二)极限

1.理解数列极限和函数极限(包括左极限和右极限)的概念。理解函数极限

存在与左极限、右极限存在之间的关系。

2.了解数列极限和函数极限的性质。熟练掌握数列极限和函数极限的四则

运算法则。

3.熟练掌握两个重要极限

并会用它们求

函数的极限。

4.理解无穷小量、无穷大量的概念,掌握无穷小量的性质、无穷小量与无穷

大量的关系。会比较无穷小量的阶(高阶、低阶、同阶和等价)。

(三)连续

1.理解函数连续性(包括左连续和右连续)的概念,掌握函数连续与左

连续、右连续之间的关系。会求函数的间断点并判断其类型。

2.掌握连续函数的四则运算和复合运算。理解初等函数在其定义区间内的连续性,并会利用连续性求极限。

3.了解闭区间上连续函数的性质(有界性定理、最大值和最小值定理、介 值

定理、零点定理)。

二、一元函数微分学

(一)导数与微分

1.理解导数的概念及几何意义,会求平面曲线的切线方程和法线方程。理 解

函数的可导性与连续性之间的关系。

2.熟练掌握导数的四则运算法则和复合函数的求导法则,熟练掌握基本

初等函数的导数公式。

3.掌握隐函数求导法、对数求导法。

4.了解高阶导数的概念,会求简单函数的二阶导数。

5.了解微分的概念,理解导数与微分的关系,掌握微分运算法则,会求

函数的一阶微分。

(二)中值定理及导数的应用

1.理解罗尔定理、拉格朗日中值定理,掌握这两个定理的简单应用。

2.熟练掌握洛必达法则,会用洛必达法则求

型未定式的极限。

3.理解函数极值的概念,掌握用导数判断函数的单调性和求函数极值的

方法,掌握函数最大值和最小值的求法及其应用。

三、一元函数积分学

(一)不定积分

1.理解原函数与不定积分的概念,了解原函数存在定理,掌握不定积分

的性质。

2.熟练掌握不定积分的基本公式。

3.熟练掌握不定积分的第一类、第二类换元法和分部积分法。

(二)定积分

1.理解定积分的概念及几何意义,了解可积的条件。

2.掌握定积分的性质。

3.理解积分上限的函数,会求它的导数,掌握牛顿-莱布尼茨公式。4.熟练掌握定积分的换元积分法与分部积分法。

5.会用定积分表达和计算平面图形的面积。

Ⅱ. 考试形式与题型

一、考试形式

考试采用闭卷、笔试形式。试卷满分 100 分,考试时间 120 分钟。

二、题型

考试题型从以下类型中选择:选择题、填空题、判断题、计算题、解答

题、应用题。

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