be counting down the days；conform to；contend with；correlate with；designate…as；refrain from；sink one's teeth into；slave away（1）The rapid rise in unemployment does ____ the increase in young people living at home，according to research.（2）It was a moment of overwhelming excitement when Steve was given the first prize；Tiffany couldn't ____ hugging and kissing him.（3）I guarantee they will ____ to come and spend time with you because you have made them feel welcome.（4）She spent the next 10 years ____ to pay back the money they had borrowed from the bank.（5）This is a rare opportunity and he just can't wait to ____ the interesting new project.（6）The travel agency offers considerate care for its customers when they encounter unplanned circumstances or must ____ an unfamiliar environment.（7）One teacher will be ____ the distance learning teacher for students who choose to start the school year that way.（8）The deepening cooperation between the two countries meets the development needs of both sides and ____ the will of the people of both sides.

（1）考查动词短语。句意：研究表明，失业率的快速上升确实与住在家里的年轻人的增加有关。分析可知，此处作谓语，结合句意可知，动词短语correlate with"把……与……联系起来"符合题意，分析句子结构可知，句子使用了助动词does表示强调，动词应用原形，故填correlate with。
（2）考查动词短语。句意：当史蒂夫获得一等奖时，那是一个激动人心的时刻；蒂芙尼忍不住拥抱和亲吻他。分析可知，此处作谓语，结合句意可知，动词短语refrain from"忍住；控制"符合题意，结合空前情态动词couldn't可知，动词应用原形，故填refrain from。
（3）考查动词短语。句意：我保证他们数着日子盼望与你共度时光，因为你让他们感到受欢迎。分析可知，此处作谓语，结合句意可知，短语be counting down the days"倒计时"符合题意，结合空前情态动词will可知，be动词应用原形，故填be counting down the days。
（4）考查动词短语。句意：在接下来的10年里，她辛辛苦苦地偿还他们从银行借的钱。根据句意可知，短语slave away"辛苦地工作"符合题意，结合spend time（in）doing sth可知，动词应用动名词，故填slaving away。
（5）考查动词短语。句意：这是一个难得的机会，他迫不及待地想投入这个有趣的新项目。根据句意可知，此处表示"全身心地投入"，动词短语sink one's teeth into符合题意，结合空前不定式符号to可知，动词应用原形，结合主语he可知，形容词性物主代词应用his，故填sink his teeth into。
（6）考查动词短语。句意：当客户遇到意外情况或必须应对陌生环境时，旅行社会为他们提供周到的照顾。分析可知，此处作谓语，结合句意可知，短语contend with"应付"符合题意，结合空前情态动词must可知，动词应用原形，故填contend with。
（7）考查动词短语。句意：对于选择以这种方式开始学年的学生，将指定一名教师作为远程学习教师。分析可知，此处作谓语，结合句意可知，短语designate…as"任命"符合题意，分析可知，主语one teacher与designate…as之间为被动关系，应用被动语态，结合空前情态动词will可知，be动词应用原形，故填designated as。
（8）考查动词短语。句意：两国深化合作符合双方发展需要，也符合双方人民意愿。分析可知，此处作谓语，结合句意可知，短语conform to"符合"符合题意，结合前文meets可知，句子是在陈述事实，应用一般现在时，主语the deepening cooperation between the two countries为单数，谓语动词应用第三人称单数形式，故填conforms to。