数据源是sde发布的服务。在query.outStatistics输入SHAPE.AREA字段无法统计

This option was added at 10.1.

The definitions for one or more field-based statistics to be calculated.

• outStatistics is supported on only those layers/tables that indicate supportsStatistics is true.
• If outStatisticFieldName is empty or missing, the map server would assign a field name to the returned statistic field. A valid field name can only contain alphanumeric characters and an underscore.
• When outStatistics, the only other parameters that will be used are groupByFieldsForStatistics, orderByFields, text, time, and where.
• At version 10.1, specifying geometry, objectIds, or gdbVersion parameters would return an error.
• At version 10.1 SP1, support for the geometry parameter was added.
• At version 10.2, support for the gdbVersion parameter was added.

Values: An array of statistic definitions. A statistic definition specifies the type of statistic, the field on which it is to be calculated, and the resulting output field name.

Syntax:

[ { "statisticType": "<count | sum | min | max | avg | stddev | var>", "onStatisticField": "Field1", "outStatisticFieldName": "Out_Field_Name1" }, { "statisticType": "<count | sum | min | max | avg | stddev | var>", "onStatisticField": "Field2", "outStatisticFieldName": "Out_Field_Name2" } ]

你检查一下是不是有空面积，要repair一下数据再查询看看。repair前备份！
其次可能是不支持SHAPE.AREA的写法

如果是SHAPE.LEN有这个bug，链接中也有绕行方法，
在arcgis10.9以及更高版本得到解决。
https://support.esri.com/en/bugs/nimbus/QlVHLTAwMDA4Njg4OA==
 
如果是SHAPE.AREA无法统计查询的话，可以看看SHAPE.LEN是不是也不行，如果不行，那试试链接中的绕行方法。
 
例如：

可以考虑新建一个字段，然后将shape.len的属性值赋值过去，如果后期有更新要素的需求，可以通过geometryengine的计算长度或者面积方法来更新要素的长度属性值，这个可以在前端来完成。