三、如圖示平面結構，a點為鉸支承，d 點為滾支承，b點為鉸接。ab、bc及 cd 皆為剛性桿件，剛性桿件撓曲剛度及軸向剛度皆為無限大，上、下彈簧有相同彈簧係數k=1800kN/m。求上彈簧及下彈簧內力、b點水平位移。（25 分）

四、如圖示剛架結構，不考慮桿件的軸向變形，a點及d 點為固定端，桿件有相同彈性模數 E 與慣性矩 I，且 EI = 30000kN - m2。已知bc桿件剪力為零，求a點固定端彎矩、b點轉角及垂直位移。（25 分）

(a) What are some possible challenges that may be encountered by the students in a TEIE classroom? (8 points)

(b) As an English teacher, what would you do to foster student learning in a TEIE setting? (14 points)

2.(a) What is the relationship between reading and writing? (14 points)

(b) How would you teach English reading and writing in a regular Taiwanese senior high school English class? (14 points)

(a) Define and discuss what the Input Hypothesis is and its relation to the Natural Order Hypothesis in second language acquisition. (15 points)

(b) How can input be emphasized aurally in speaking classes for learners to process for further output for learning to happen more effectively? Use an example to substantiate your point. (10 points)

(a) Discuss how theory and practice are utilized to explore their relationship. (15 points)

(b) The social aspects of fluency and pronunciation are also linked to the focus of communication in language classrooms. Examine the balance between fluency and pronunciation in effective listening and speaking instruction nowadays. (10 points)

French Political Philosopher Alexis de Tocqueville wrote: ...[W]ithout ideas held in common, there is no common action, and without common action, there may still be men, but there is no social body. In order that society should exist, and, a fortiori, that a society should prosper, it is required that all the minds of the citizens should be rallied and held together by certain predominant ideas； and this cannot be the case, unless each of them sometimes draws his opinions from the common source, and consents to accept certain matters of belief at the hands of the community. -from Section I, Chapter 2 of Democracy in America, Volume II (1835)  Write an essay to comment on or respond to Tocqueville's argument. Your essay can address, but is not limited to answering, any of the following questions: Do you agree with Tocqueville that "certain predominant ideas" are fundamental to a prosperous society? Why or why not? How might Tocqueville's emphasis on "common action" and "predominant ideas" run counter to the value of self-reliance and individual freedom that is usually advocated in democracy? Would the predominant ideas become a source of oppression for social differences in gender, class, race, ethnicity, age, etc.? From a different perspective, if a society does need common beliefs in order to operate efficiently, what might be some examples of these beliefs? Also, are these beliefs universally shared, or must they vary from one society to another? You are welcome to illustrate your arguments with specific examples of common beliefs and discuss their uses or malfunctions in real sociohistorical contexts.

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