jsp导包问题

下面是我写的代码
<%@page pageEncoding="utf-8"%>
<%@page import="*" %>
<%@page import="java.text.*" %>
<%@page import="java.util.*" %>

<h1>今天天气真好</h1>

<h1><%=new SimpleDateFormat("yyyy-MM-dd HH:mm:ss.SSS").format(new date())%></h1>

错误提示
An error occurred at line: 8 in the jsp file: /page_demo.jsp
date cannot be resolved to a type
是导包的问题吗