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1以解，1)若a-1,则/)-(gx)+gx+3∈[是d]令a-0gx,w∈[-1,2]，所以y-+w+3,w∈[-1,2]，2分所以y=+十3在(-1，-之)上单河递减，在（一号2）上单调递增，当。-1时y-(-1-1+3-3,当-时y-(-号)广+3=号当-2时y-双+2439所以y-9-4所以)在区间[号d]上的值城为[.9]小.…5分(2)令1-6gx,∈[0,3].若关于x的方程f()+a=0在[1,8]上有解，即+(1+1)a+3=0在1∈[0.3上有解，即-特在[0,3们上有解.7分令8)-e[0.3.所以)-2，令)<0，解得1<3，令0，解得0≤x<1,所以g(x)在(0,1)上单调递增，在(1,3)上单调通减.…8分所以g(x)n=g(1)=一2，4小9分又g(0)=-3,g(3)=-3,所以g(x)=-3,10分所以一3
B本文是一篇记叙文。文章主要讲述Helmholtz作为一名多才多艺的科学家的生平事迹。24.D细节理解题。根据第一段最后一句“He was drawn to others who promoted the point that physi--ology should be based on the principles of chemistry and physics,not the 'vital forces'that had beenpopularly emphasized previously.”可知，Helmholtz选择生理学专业的原因是他被不同于以前的观点所吸引。故选D。25.C￥细节理解题。根据第二段第二句“During that time,he composed a groundbreaking paper onthe conservation of energy,which made him a good reputation in science community.”可知，Helm-holtz关于能量守恒的论文使他在科学界很受欢迎。故选C。26.D细节理解题。根据最后一段第一、二句“inl871 he was awarded the physics chair at the Uni--versity of Berlin.At last he could focus on physics,emphasizing the importance of the principle ofleast action for explaining physical phenomena.”可知，Helmholtz把他的余生献给了物理研究。故选D。27.A推理判断题。根据第二段第一句“After earning...at the University of Konigsberg.”和最后一段第一句“After some time at the University..at the University of Berlin.”可知，Helmholtz是多才多艺的；根据第一段最后一句“He was drawn to others..·.on the principles of chemistry and phys--ics”、第二段第二句“he composed a groundbreaking paper on the conservation of energy”和最后一段第二句“At last he could focus on physics..for explaining physical phenomena.”可知，Helmholtz从对物理学感兴趣到余生一直研究物理学，坚持不懈不断探究学习，可推出他是有决心的。故选A。
