Required request parameter 'numbers' for method parameter type String[] is not present

报错就是这个，然后报错的信息再给点详细的

org.springframework.web.bind.MissingServletRequestParameterException: Required request parameter 'numbers' for method parameter type String[] is not present
    at org.springframework.web.method.annotation.RequestParamMethodArgumentResolver.handleMissingValueInternal(RequestParamMethodArgumentResolver.java:218) ~[spring-web-5.3.29.jar:5.3.29]
    at org.springframework.web.method.annotation.RequestParamMethodArgumentResolver.handleMissingValue(RequestParamMethodArgumentResolver.java:193) ~[spring-web-5.3.29.jar:5.3.29]
    at org.springframework.web.method.annotation.AbstractNamedValueMethodArgumentResolver.resolveArgument(AbstractNamedValueMethodArgumentResolver.java:114) ~[spring-web-5.3.29.jar:5.3.29]
    at org.springframework.web.method.support.HandlerMethodArgumentResolverComposite.resolveArgument(HandlerMethodArgumentResolverComposite.java:122) ~[spring-web-5.3.29.jar:5.3.29]
    at org.springframework.web.method.support.InvocableHandlerMethod.getMethodArgumentValues(InvocableHandlerMethod.java:179) ~[spring-web-5.3.29.jar:5.3.29]
    at org.springframework.web.method.support.InvocableHandlerMethod.invokeForRequest(InvocableHandlerMethod.java:146) ~[spring-web-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.mvc.method.annotation.ServletInvocableHandlerMethod.invokeAndHandle(ServletInvocableHandlerMethod.java:117) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.mvc.method.annotation.RequestMappingHandlerAdapter.invokeHandlerMethod(RequestMappingHandlerAdapter.java:895) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.mvc.method.annotation.RequestMappingHandlerAdapter.handleInternal(RequestMappingHandlerAdapter.java:808) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.mvc.method.AbstractHandlerMethodAdapter.handle(AbstractHandlerMethodAdapter.java:87) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.DispatcherServlet.doDispatch(DispatcherServlet.java:1072) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.DispatcherServlet.doService(DispatcherServlet.java:965) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.FrameworkServlet.processRequest(FrameworkServlet.java:1006) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at org.springframework.web.servlet.FrameworkServlet.doPost(FrameworkServlet.java:909) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at javax.servlet.http.HttpServlet.service(HttpServlet.java:555) ~[tomcat-embed-core-9.0.78.jar:4.0.FR]
    at org.springframework.web.servlet.FrameworkServlet.service(FrameworkServlet.java:883) ~[spring-webmvc-5.3.29.jar:5.3.29]
    at javax.servlet.http.HttpServlet.service(HttpServlet.java:623) ~[tomcat-embed-core-9.0.78.jar:4.0.FR]
    at org.apache.catalina.core.ApplicationFilterChain.internalDoFilter(ApplicationFilterChain.java:209) ~[tomcat-embed-core-9.0.78.jar:9.0.78]
    at org.apache.catalina.core.ApplicationFilterChain.doFilter(ApplicationFilterChain.java:153) ~[tomcat-embed-core-9.0.78.jar:9.0.78]

　　前端代码

$('.permission-checkbox').change(function() {
                var selectedPermissions = $('.permission-checkbox:checked').map(function() {
                    return this.value; // 获取复选框的值
                }).get(); // 将jQuery对象转换为数组
                console.log(selectedPermissions); // 在控制台打印选中的权限值
                var id=document.getElementById("id").value;
                $.ajax({
                    url: urls+'/update_permission',
                    type: 'POST', // 或者 'POST' 如果后端是用@PostMapping来接收
                    data: {
                        id:id,
                        numbers: selectedPermissions // 这是你的数组
                    },
                    dataType:"json",
                    success: function(response) {
                        console.log(response); // 这里处理你的响应
                    },
                    error: function(xhr, status, error) {
                        console.error(error); // 错误处理
                    }
                });
 
 
            });

后端代码

@RequestMapping("/update_permission")
    @ResponseBody
    public String updatePermission(@RequestParam("id") Integer id,@RequestParam("numbers") String[] numbers) {
        // numbers将会接收到一个String类型的数组，例如 ["3", "4", "5", "6", "8", "10"]
        // 你可以在这里处理数组数据
        //@RequestParam("empIdArray[]") int[] empArr
        log.info("id:{},用户id:{}",id,numbers);
        return "6666";
    }

　　解决方案

@RequestMapping("/update_permission")
    @ResponseBody
    public String updatePermission(@RequestParam("id") Integer id,@RequestParam("numbers[]") String[] numbers) {
        // numbers将会接收到一个String类型的数组，例如 ["3", "4", "5", "6", "8", "10"]
        // 你可以在这里处理数组数据
        //@RequestParam("empIdArray[]") int[] empArr
        log.info("id:{},用户id:{}",id,numbers);
        return "6666";
    }