界面

 <input id="Date_select" type="text" class="form-control" placeholder="请选择时间范围" style="border-radius: 4px;" />
 <input id="StartDate" type="hidden" />
 <input id="EndDate" type="hidden" />

1、第一种实现

//时间选择
layui.laydate.render({
	elem: '#Date_select',
    type: 'date',
	range: true,
	shortcuts: [
		{
			text: '本周',
			value: function () {
				let now = new Date(); //当前日期 
				let nowDayOfWeek = now.getDay() - 1; //今天本周的第几天,周日为0，但实际上平时都是以周一为一周的开始，所以周3因该为2
				let nowDay = now.getDate(); //当前日 
				let nowMonth = now.getMonth(); //当前月 
				let nowYear = now.getFullYear(); //当前年 
				let startTime = new Date(nowYear, nowMonth, nowDay - nowDayOfWeek);
				let endTime = new Date(nowYear, nowMonth, nowDay + 6 - nowDayOfWeek);
				var value = [];
				value.push(startTime);
				value.push(endTime);
				return value;
			}()
		},
		{
			text: "本月",
			value: function () {
				let now = new Date(); //当前日期 
				let nowMonth = now.getMonth(); //当前月 
				let nowYear = now.getFullYear(); //当前年 
				let startTime = new Date(nowYear, nowMonth, 1);
				let endTime = new Date(nowYear, nowMonth + 1, 0);
				var value = [];
				value.push(startTime);
				value.push(endTime);
				return value;
			}()
		},
		{
			text: "本季度",
			value: function () {
				let now = new Date(); //当前日期 
				let nowMonth = now.getMonth(); //当前月 
				let nowYear = now.getFullYear(); //当前年 
				let jd = Math.ceil((nowMonth + 1) / 3);
				let startTime = new Date(nowYear, (jd - 1) * 3, 1);
				let endTime = new Date(nowYear, jd * 3, 0);
				var value = [];
				value.push(startTime);
				value.push(endTime);
				return value;
			}()
		},
		{
			text: "本年",
			value: function () {
				let now = new Date(); //当前日期 
				let nowYear = now.getFullYear(); //当前年 
				let startTime = new Date(nowYear, 0, 1);
				let endTime = new Date(nowYear, 11, 31);
				var value = [];
				value.push(startTime);
				value.push(endTime);
				return value;
			}()
		},
	],
	done: function (value, date, endDate) {//选择后事件
		var StartDate = null;
		var EndDate = null;
		if (!!value) {
			StartDate = `${date.year}-${date.month}-${date.date} 00:00:00`;
			EndDate = `${endDate.year}-${endDate.month}-${endDate.date} 23:59:59`;
		}
		$("#StartDate").val(StartDate);
		$("#EndDate").val(EndDate);
	}
});

2、第二种实现

//时间选择
layui.laydate.render({
    elem: '#Date_select',
    type: 'date',
    range: true,
    shortcuts: [
        {
            text: '本周',
            value: function () {
                return page.dateRange("本周");
            }()
        },
        {
            text: "本月",
            value: function () {
                return page.dateRange("本月");
            }()
        },
        {
            text: "本季度",
            value: function () {
                return page.dateRange("本季度");
            }()
        },
        {
            text: "本年",
            value: function () {
                return page.dateRange("本年");
            }()
        },
    ],
    done: function (value, date, endDate) {
        var StartDate = null;
        var EndDate = null;
        if (!!value) {
            StartDate = `${date.year}-${date.month}-${date.date} 00:00:00`;
            EndDate = `${endDate.year}-${endDate.month}-${endDate.date} 23:59:59`;
        }
        $("#StartDate").val(StartDate);
        $("#EndDate").val(EndDate);
    }
});
//日期范围选择数据
function dateRange(val) {
	let value = [];
	let startTime, endTime;
	let now = new Date(); //当前日期 
	let nowDayOfWeek = now.getDay() - 1; //今天本周的第几天,周日为0，但实际上平时都是以周一为一周的开始，所以周3因该为2
	let nowDay = now.getDate(); //当前日 
	let nowMonth = now.getMonth(); //当前月 
	let nowYear = now.getFullYear(); //当前年 
	let jd = Math.ceil((nowMonth + 1) / 3)
	switch (val) {
		case "本周":
			startTime = new Date(nowYear, nowMonth, nowDay - nowDayOfWeek)
			endTime = new Date(nowYear, nowMonth, nowDay + 6 - nowDayOfWeek)
			break;
		case "本月":
			startTime = new Date(nowYear, nowMonth, 1)
			endTime = new Date(nowYear, nowMonth + 1, 0)
			break;
		case "本季度":
			startTime = new Date(nowYear, (jd - 1) * 3, 1)
			endTime = new Date(nowYear, jd * 3, 0)
			break
		case "本年":
			startTime = new Date(nowYear, 0, 1)
			endTime = new Date(nowYear, 11, 31)
			break
	}
	value.push(startTime);
	value.push(endTime);
	return value;
};