I can’t imagine (动名词逻辑主语anyone’s )being more eager for knowledge than my daughter.

参考译文1：我无法想象任何人都比我的女儿更渴望获得知识。

参考译文2：我无法想象任何人对知识的渴望都超过了我的女儿。

解答如下：

以上为动名词复合结构作动词imagine宾语，里面只有1个谓语动词"can't imagine"因此这个句子属于”主谓宾结构简单句

句子语法结构分析如下：

主语：I

谓语：can't imagine

宾语：anyone's being more eager for knowledge than my daughter

备注1：代词所有格形式anyone's 为动名词 being more... 的逻辑主语

备注2：anyone's“复合不定代词所有格形式”不是“代词和系动is 词缩写”

备注3:作宾语的动名词其逻辑主语可以是（名词/名词所有格/代词所有格/形容词物主代词/宾格代词。但是动词作主语其逻辑主语要用名词所有格/物主代词充当）

Tom's being late for school made his teacher very angry.

汤姆上学迟到使他老师很生气。

重点单词短语解析

(1) imagine(sb/one's) doing sth想象（某人）设想做某事

(2)be eager for  对...渴望；渴求

(3) more +adj.+than 比...更...

【备注：接动名词作宾语的及物动词有：finish, enjoy, mind, practice/practise, consider, suggest, advise, keep, avoid,imagine, mention, give up, can’t help,deny 】

后接动名词作宾语的动词有：

【enjoy, finish, mind, suggest, practise】

【consider, advise, mention,keep, avoid】

【imagine,allow,appreciate, can’t help 】

【give up, put off, miss, look forward to】

记忆口诀如下

避免错过少延期（avoid,miss,delay,put off)

建议完成多练习(suggest,recommend,advise,finish,practise)

喜欢想象禁不住(enjoy, image,can’t help)

承认否定还考虑(admit , deny consider)

逃避冒险不介意(escape,risk,mind)

允许欣赏不禁止(allow/permit,appreciate,forbid)

期望成功更值得(look forward to, succeed in,be worth)

接动名词（不接不定式）作宾语的34个常用动词

admit doing sth. 承认做某事

advise doing sth. 建议做某事

allow doing sth. 允许做某事

appreciate doing sth. 感激做某事

avoid doing sth. 避免做某事

consider doing sth. 考虑做某事

delay doing sth. 推迟做某事

deny doing sth. 否认做某事

discuss doing sth. 讨论做某事

dislike doing sth. 不喜欢做某事

enjoy doing sth. 喜爱做某事

escape doing sth. 逃脱做某事

excuse doing sth. 原谅做某事

fancy doing sth. 设想做某事

finish doing sth. 完成做某事

forbid doing sth. 禁止做某事

forgive doing sth. 原谅做某事

give up doing sth. 放弃做某事

imagine doing sth. 想象做某事

keep doing sth. 保持做某事

mention doing sth. 提及做某事

mind doing sth. 介意做某事

miss doing sth. 错过做某事

pardon doing sth. 原谅做某事

permit doing sth. 允许做某事

practice doing sth. 练习做某事

prevent doing sth. 阻止做某事

prohibit doing sth. 禁止做某事

put off doing sth. 推迟做某事

report doing sth. 报告做某事

risk doing sth. 冒险做某事

stop doing sth. 停止做某事

suggest doing sth. 建议做某事