问题 单项选择题

一条数学定理是简单的,是指它的内容简明直观。尽管至今仍有数学家坚持认为,简单的数学定理一定存在简单的证明,但事实上,一些简单的数学定理需要非常复杂的证明。现在,不会有数学家会因为一条数学定理证明的复杂性而拒绝承认其真理性,但是,在半个世纪以前情况不是这样。当时有不少数学家不承认一条简单的映射定理,理由是它的证明尽管成立,但过于复杂。
如果上述断定为真,以下哪项一定为真

A.一些复杂的数学定理不需要复杂的证明
B.任何数学定理的证明都不是简单的
C.一条数学定理,只要其证明成立,就一定会被所有数学家承认
D.有的数学家认为,同一条数学定理可以有不同的证明
E.在半个世纪以前,数学家都不认可复杂的数学证明

答案

参考答案:D

解析: 本题题型归纳为“结论考题”。结论考题,切记要表面化,由上而下直接归纳得到,不要绝对化。B、C、E都出现了绝对词语,一般不选,A提到的是“复杂的数学定理”,排除。

判断题
阅读理解

How do apology languages work? Have you ever tried to apologize, only to be refused? It may be that you were offering a partial apology in a “language” , that was foreign to your listener.The five languages of apology include:

Apology Language 1: “I am sorry.”

List the hurtful effects of your action.Not “I am sorry if …”, but “I am sorry that…”.You might ask if they want to add any points that you have not recognized.

Apology Language 2:“I was wrong.”

Name your mistake and accept fault.Note that it is easier to say “You are right” than “ I am wrong”, but the latter carries more weight.

Apology Language 3: “ What can I do to make it right?”

How are you now? How shall I make amends(弥补) to you? How can I restore your confidence that I love you— even though I was so hurtful to you?

Apology Language 4: “I’ll try not to do that again.”

Engage in problem-solving.Don’t make excuses for yourself such as, “Well, my day was just so…” Instead, offer what you will change to prevent yourself from putting them in the same bad situation again.

Apology Language 5: “Will you please forgive me?”

Be patient in seeking forgiveness.They may need some time or greater clarification of your input from Apology Languages 1-4.

Finally, your apology may not be accepted, but at least you know that you have been faithful in offering a sincere olive branch of peace.

小题1:The passage mainly talks about___________

A.5 tips for apologies that work

B.5 ways of refusing apologies

C.the function of apology languages

D.the importance of apology languages小题2:According to Paragraph 1, your apology may be refused mainly because________

A.your listeners can’t understand your dialect.

B.your listeners can’t hear what you said clearly.

C.your apology is not sincere.

D.your apology is not expressed well enough.小题3:When offering an apology, which of the following does the author prefer?

A.“You are right”

B.“I am sorry if …”

C.“I was wrong.”

D.“Well, my day was just so…”小题4:In the last paragraph, the author tells us even if your apology may not be accepted, at

least ___________.

A.It’s your fault any more

B.your mind will be at peace

C.your friend will make peace with you

D.your apology is true to your heart