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Quadric in the Teaching of engineering attempts


Interest in learning. A hyperboloid of one family of straight lines for the ruled surface ruled surface is called surface generated. Such as cylindrical surface, conical surface are ruled surface. The following discussion of the ruled hyperboloid of one sheet of. Cartesian coordinates in space, the hyperboloid of one of the equation can be written as potato + y2-Z2-1a26f2 (curse + curse) (curse a curse) I (+ Dirty) (a curse). So hyperboloid of one (1) can be straight or curse + curse of a family (+ curse), a curse a curse (a curse) A curse a curse (+ Wei),[link widoczny dla zalogowanych], curse + curse a go (a curse) (2) (3) to produce, which is the parameter. Family of straight lines (2) and (3) are called hyperboloid of one (1) of the family bus and the family bus (Figure 1), that is, for the hyperboloid of one sheet of ruled surface. Hyperboloid of one of the bus has the following properties Ⅲ: 1) over any point hyperboloid of one sheet, you can get a bus in each group; 2) hyperboloid of one of the two communities no public bus line; 3) hyperboloid of one sheet The two bus with the family will not coplanar; 4) hyperboloid of one of two different families will be coplanar bus; 5) single leaf linear hyperbolic surface that is not a family group; 6) a hyperboloid of one sheet and Only two bus. Received 13 :2008-05-05 Author: Zhang Zijie (1954 a), male, Hebei military strongman, an associate professor of Hebei Engineering College. Figure 1 hyperboloid of one sheet 3 Zhangzi Jie et al: Second Surface Application in the Teaching of 752 attempts ruled surface engineering applications in equation (1), if at a 6, then the equation (1) becomes +22 a potato-1 (port, c> 0), called the rotating hyperboloid of one sheet. It is the hyperbolic one by one 1,-o port 2C2 'rotation around the axis formed surface,[link widoczny dla zalogowanych], is also ruled surface. Power plants or factories where the cooling tower is one commonly used form rotating hyperboloid of one sheet. It has the advantage of fast convection, thermal performance good. Due to the rotation hyperboloid of one sheet for the ruled surface, so the design and construction of reinforced concrete cooling tower structures, according to a hyperboloid of one sheet and only two buses of this nature can be woven steel mesh reinforcement to take the direct material ,[link widoczny dla zalogowanych], and with a circumference round, the two density levels can be determined according to strength requirements. This construction, the building form to receive accurate, saving time, effort,[link widoczny dla zalogowanych], effect and easy operation, and has good mechanical properties. In addition, the hyperbolic paraboloid (saddle) is also ruled surface (Figure 2). 3 Conclusion Figure 2 hyperbolic paraboloid surface in the traditional teaching of the space, the hyperboloid of one's understanding of geometric shapes, are cut-off marks by law or surface of revolution to infer surface shape. The biggest drawback of the method is that it overlooks the hyperboloid of one for the ruled surface that is not obvious geometry. Teaching in the second surface, that part of the surface of which has ruled, contact the engineering practice to provide some interest for students of knowledge, enhance their intellectual curiosity. Through many years of teaching practice and students the information fed back to prove that this is a very good teaching results. Greatly enrich the teaching of analytic geometry content, the application of open horizons of students and improve student interest in learning. References [1] Department of Mathematics,[link widoczny dla zalogowanych], Nankai University. Introduction to analytic geometry of space (I-List) I-M]. Beijing: People's Education Press ,1978.159-16O. [2] Department of Mathematics, Tongji University. Advanced Mathematics (I-List) [M]. 2. Beijing: People's Education Press, 1981. (Editor: Li Tongdong) (Continued from page 64) ApplicationofHDTVCamerainExpresswayOverallMonitoringGAoShuang-huai (CangzhouTrafficBureau, Cangzhou061000, China) Abstract: Thisarticleanalyzesthedisadvantagesofthecommonvideocameramonitoringsystemintheexpresswayoverallmonitoring. AccordingtothefunctionandcharacteristicsofHDTVcamera, itputsfor-wardtheadvantagesofHDTVcameramonitoringsystemintheexpresswayoverallmonitoring. Keywords: videocamera; monitoring; expressway (Editor: Di Guojing)

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