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高中数学必修二知识点总结

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高中数学必修二知识点总结高中数学必修二知识点总结 高中数学必修二 第一章 空间几何体 1.1空间几何体的结构 1、棱柱 定义:有两个面互相平行,其余各面都是四边形,且每相邻两个四边形的公共边都互相平行,由这些面所围成的几何体。 分类:以底面多边形的边数作为分类的标准分为三棱柱、四棱柱、五棱柱等。 表示:用各顶点字母,如五棱柱或用对角线的端点字母,如五棱柱 '''''ABCDE,ABCDE 几何特征:两底面是对应边平行的全等多边形;侧面、对角面都是平行四边形;侧棱平行且相等;平行于底面的截面是与底面全等的多边形。 2、棱...

高中数学必修二知识点总结
高中数学必修二知识点 总结 初级经济法重点总结下载党员个人总结TXt高中句型全总结.doc高中句型全总结.doc理论力学知识点总结pdf 高中数学必修二 第一章 空间几何体 1.1空间几何体的结构 1、棱柱 定义:有两个面互相平行,其余各面都是四边形,且每相邻两个四边形的公共边都互相平行,由这些面所围成的几何体。 分类:以底面多边形的边数作为分类的 标准 excel标准偏差excel标准偏差函数exl标准差函数国标检验抽样标准表免费下载红头文件格式标准下载 分为三棱柱、四棱柱、五棱柱等。 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 示:用各顶点字母,如五棱柱或用对角线的端点字母,如五棱柱 '''''ABCDE,ABCDE 几何特征:两底面是对应边平行的全等多边形;侧面、对角面都是平行四边形;侧棱平行且相等;平行于底面的截面是与底面全等的多边形。 2、棱锥 定义:有一个面是多边形,其余各面都是有一个公共顶点的三角形,由这些面所围成的几何体 分类:以底面多边形的边数作为分类的标准分为三棱锥、四棱锥、五棱锥等 '''''P,ABCDE表示:用各顶点字母,如五棱锥 几何特征:侧面、对角面都是三角形;平行于底面的截面与底面相 似,其相似比等于顶点到截面距离与高的比的平方。 3、棱台 personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such 定义:用一个平行于棱锥底面的平面去截棱锥,截面和底面之间的部分 分类:以底面多边形的边数作为分类的标准分为三棱态、四棱台、五棱台等 表示:用各顶点字母,如四棱台ABCD—A'B'C'D' 几何特征:?上下底面是相似的平行多边形 ?侧面是梯形 ?侧棱交于原棱锥的顶点 4、圆柱 定义:以矩形的一边所在的直线为轴旋转,其余三边旋转所成的曲面所围成的几何体 几何特征:?底面是全等的圆;?母线与轴平行;?轴与底面圆的半径垂直;?侧面展开图是一个矩形。 5、圆锥 定义:以直角三角形的一条直角边为旋转轴,旋转一周所成的曲面所围成的几何体 personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such 几何特征:?底面是一个圆;?母线交于圆锥的顶点;?侧面展开图是一个扇形。 6、圆台 定义:用一个平行于圆锥底面的平面去截圆锥,截面和底面之间的部分 几何特征:?上下底面是两个圆;?侧面母线交于原圆锥的顶点;?侧面展开图是一个弓形。 球体 定义:以半圆的直径所在直线为旋转轴,半圆面旋转一周形成的几何体 几何特征:?球的截面是圆;?球面上任意一点到球心的距离等于半径。 ※空间几何体的结构特征:面(侧面、上底面、下底面)、棱、顶点、轴 1.2空间几何体的三视图和直观图 1、中心投影与平行投影 中心投影:把光由一点向外散射形成的投影叫做中心投影。 平行投影:在一束平行光照射下形成的投影叫做平行投影。 personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such 2、三视图 正视图:从前往后 侧视图:从左往右 俯视图:从上往下 画三视图的原则:长对齐、高对齐、宽相等 3、直观图:斜二测画法 斜二测画法的步骤: (1).平行于坐标轴的线依然平行于坐标轴; (2).平行于y轴的线长度变半,平行于x,z轴的线长度不变; (3).画法要写好。 用斜二测画法画出长方体的步骤:(1)画轴(2)画底面(3)画侧棱(4)成图 1.3空间几何体的表面积与体积 (1)几何体的表面积为几何体各个面的面积的和。 'h(2)特殊几何体表面积公式(c为底面周长,h为高,为斜高,l为母线) 1S,ch'正棱锥侧面积S,chS,,rlS,2,rh圆锥侧面积直棱柱侧面积圆柱侧2 1S,(c,c)h'12正棱台侧面积S,(r,R),l圆台侧面积2 22,,S,,rr,l,,S,2,rr,lS,,,,r,rl,Rl,R圆锥表圆柱表圆台表 (3)柱体、锥体、台体的体积公式 1122V,,rhVSh,圆锥锥VSh,VShrh,,,柱圆柱33 111''22'',,,,,,,VSSSShrrRRh()()VSSSSh,,,()圆台台333 43,R2球球面4,R3(4)球体的表面积和体积公式:V= ; S= 第二章 点、直线、平面之间的位置关系 2.1空间点、直线、平面之间的位置关系 personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such ,平面:公理1:如果一条直线上的两点在一个平面内,那么这条直线在 此平面内。 公理2:过不在一条直线上的三点,有且只有一个平面 公理3:如果两个不重合的平面有一个公共点,那么它们有且只 只有一条过改点的公共直线 ,线线关系:1 空间的两条直线有如下三种关系: 相交直线:同一平面内,有且只有一个公共点; 共面直线 平行直线:同一平面内,没有公共点; 异面直线: 不同在任何一个平面内,没有公共点。 公理4:平行于同一条直线的两条直线互相平行。 符号表示为:设a、b、c是三条直线 a?b =>a?c c?b 强调:公理4实质上是说平行具有传递性,在平面、空间这个性质都 适用。 公理4作用:判断空间两条直线平行的依据 ,线面位置关系 (1)直线在平面内 —— 有无数个公共点 (2)直线与平面相交 —— 有且只有一个公共点 (3)直线在平面平行 —— 没有公共点 指出:直线与平面相交或平行的情况统称为直线在平面外,可用a α来表示 a α a?α=A a?α 4、面面关系 平行——没有公共点;α?β 相交——有一条公共直线。α?β,b 2.2直线、平面平行的判定及其性质 1、线面平行判定 personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such 定理:平面外一条直线与此平面内的一条直线平行,则该直线与此平面平行,符号表示: 作用:直线与平面的判定定理 2、面面平行 定理:一个平面内的两条相交直线与另一平面平行,则这两个平面平行, 作用:证面面平行 2.3直线、平面垂直的判定及其性质 1、线面垂直 定理:一条直线与一个平面内的两条直线都垂直,则该直线与此平面垂直。 作用:证线面垂直 线面角:平面的一条斜线和它在平面上的射影所成的锐角。 ※在解 快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题 时,注意挖掘题设中两个主要信息:(1)斜线上一点到面的垂线;(2)过斜线上的一点或过斜线的平面与已知面垂直,由面面垂直性质易得垂线。 2、面面垂直 (1)定理:一个平面过另一个平面的垂线,则这两个平面垂直。 作用:证面面垂直 (2)二面角:从一条直线出发的两个半平面所组成的图形叫做二面角,这条直线叫做二面角的棱,这两个半平面叫做二面角的面。 (3)二面角的平面角:以二面角的棱上任意一点为顶点,在两个面内分别作垂直于棱的两条射线,这两条射线所成的角叫二面角的平面角。 (4)直二面角:平面角是直角的二面角叫直二面角。 两相交平面如果所组成的二面角是直二面角,那么这两个平面垂直;反过来,如果两个平面垂直,那么所成的二面角为直二面角 (5)求二面角的方法 ,定义法:在棱上选择有关点,过这个点分别在两个面内作垂直于棱的射线得到平面角 ,垂面法:已知二面角内一点到两个面的垂线时,过两垂线作平面两个面的交线所成的角为二面角的平面角 3、垂直关系的性质定理 ?线面垂直性质定理:如果两条直线同垂直于一个平面,那么这两条直线平行。 ?面面垂直的性质定理:如果两个平面互相垂直,那么在一个平面内垂直于他们的交线的直线垂直于另一个平面。 personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such 第三章 直线与方程 3.1直线的倾斜角与斜率 (1)直线的倾斜角 定义:x轴正向与直线向上方向之间所成的角叫直线的倾斜角。特别地,当直线与x轴平行或重合时,我们规定它的倾斜角为0度。因此,倾斜角的取值范围是0??α,180? (2)直线的斜率 ?定义:倾斜角不是90?的直线,它的倾斜角的正切叫做这条直线的 k,tan,斜率。直线的斜率常用k表示。即。斜率反映直线与轴的倾斜程度。 ,,,,,,,,0,90,,,,,90,180k,0k,0,,90当时,; 当时,; 当时,k不存在。 y,y21k,(x,x)12x,x21?过两点的直线的斜率公式: x,x12注意:(1)当时,公式右边无意义,直线的斜率不存在,倾斜角为90?; (2)k与P1、P2的顺序无关;(3)以后求斜率可不通过倾斜角而由直线上两点的坐标直接求得; (4)求直线的倾斜角可由直线上两点的坐标先求斜率得到。 3.2直线的方程 y,y,k(x,x),,x,y1111?点斜式:直线斜率k,且过点 注意:当直线的斜率为0?时,k=0,直线的方程是y=y1。 当直线的斜率为90?时,直线的斜率不存在,它的方程不能用点斜式表示(但因l上每一点的横坐标都等于x1,所以它的方程是x=x1。 y,kx,b?斜截式:,直线斜率为k,直线在y轴上的截距为b yyxx,,11,yyxx,,xxyy,,,,,x,y,,x,y212112121122?两点式:()直线两点, xy,,1ab?截矩式: personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such (,0)a(0,)byyllxx其中直线与轴交于点,与轴交于点,即与轴、轴的截距 ab,分别为。 Ax,By,C,0?一般式:(A,B不全为0) 注意:?1各式的适用范围 ?2特殊的方程如: y,b平行于x轴的直线:(b为常数); 平行于y轴的直线: x,a(a为常数); (5)直线系方程:即具有某一共同性质的直线 (一)平行直线系 Ax,By,C,0A,B00000平行于已知直线(是不全为0的常数)的直线 Ax,By,C,000系:(C为常数) (二)过定点的直线系 ,,y,y,kx,x,,x,y0000(?)斜率为k的直线系:,直线过定点; l:Ax,By,C,0l:Ax,By,C,022221111(?)过两条直线,的交点的直线系方程为 l,,,,Ax,By,C,,Ax,By,C,0,2111222(为参数),其中直线不在直线系中。 (6)两直线平行与垂直 l:y,kx,bl:y,kx,b111222当,时, l//l,k,k,b,bl,l,kk,,11212121212; 注意:利用斜率判断直线的平行与垂直时,要注意斜率的存在与否。 3.3直线的交点坐标与距离公式 1、两条直线的交点 l:Ax,By,C,0l:Ax,By,C,011112222 相交 ,,,0AxByC,111,Ax,By,C,0222,交点坐标即方程组的一组解。 ll,l//l,1212方程组无解 ; 方程组有无数解与重合 AxyBxy(,),,()11222、两点间距离公式:设是平面直角坐标系中的两个点, 22||()()ABxxyy,,,,2121则 ,,Px,yl:Ax,By,C,00013、点到直线距离公式:一点到直线的距离 Ax,By,C00d,22A,B personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such 4、两平行直线距离公式 在任一直线上任取一点,再转化为点到直线的距离进行求解。 第四章 圆与方程 4.1圆的方程 1、圆的定义:平面内到一定点的距离等于定长的点的集合叫圆,定点 为圆心,定长为圆的半径。 2、圆的方程 222,,a,b,,,,x,a,y,b,r(1)标准方程,圆心,半径为r; 22x,y,Dx,Ey,F,0(2)一般方程 DE,,,,,,,22D,E,4F,022,,当时,方程表示圆,此时圆心为,半径为 122r,D,E,4F2 2222D,E,4F,0D,E,4F,0当时,表示一个点; 当时,方程不表示任何图形。 (3)求圆方程的方法: 一般都采用待定系数法:先设后求。确定一个圆需要三个独立条件,若利用圆的标准方程, 需求出a,b,r;若利用一般方程,需 要求 对教师党员的评价套管和固井爆破片与爆破装置仓库管理基本要求三甲医院都需要复审吗 出D,E,F; 另外要注意多利用圆的几何性质:如弦的中垂线必经过原点,以此来确定圆心的位置。 4.2直线、圆的位置关系 1、直线与圆的位置关系有相离,相切,相交三种情况,基本上由下列两种方法判断: 222,,Ca,bl:Ax,By,C,0,,,,C:x,a,y,b,r(1)设直线,圆,圆心到l Aa,Bb,Cd,22d,r,l与C相离d,r,l与C相切A,B的距离为,则有;;d,r,l与C相交 222l:Ax,By,C,0,,,,C:x,a,y,b,r(2)设直线,圆,先将方程联立消 ,元,得到一个一元二次方程之后,令其中的判别式为,则有 ,,0,l与C相切,,0,l与C相离,,0,l与C相交;; 2xx,yy,r00注:如果圆心的位置在原点,可使用公式去解直线与圆相,,x,y00切的问题,其中表示切点坐标,r表示半径。 (3)过圆上一点的切线方程: personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such ?圆x2+y2=r2,圆上一点为(x0,y0),则过此点的切线方程为2xx,yy,r00 ?圆(x-a)2+(y-b)2=r2,圆上一点为(x0,y0),则过此点的切线方程为(x0-a)(x-a)+(y0-b)(y-b)= r2 2、圆与圆的位置关系:通过两圆半径的和(差),与圆心距(d)之间的大小比较来确定。 222222,,,,C:x,a,y,b,R,,,,C:x,a,y,b,r111设圆, 222 两圆的位置关系常通过两圆半径的和(差),与圆心距(d)之间的大小比较来确定。 d,R,r当时两圆外离,此时有公切线四条; d,R,r当时两圆外切,连心线过切点,有外公切线两条,内公切线一条; R,r,d,R,r当时两圆相交,连心线垂直平分公共弦,有两条外公切线; d,R,r当时,两圆内切,连心线经过切点,只有一条公切线; d,R,rd,0当时,两圆内含; 当时,为同心圆。 4.3空间直角坐标系 ,,,,OBCDDABC,(1)定义:如图,是单位正方体.以A为原点, ,x轴.y轴.z轴A分别以OD,O,OB的方向为正方向,建立三条数轴。 这时建立了一个空间直角坐标系Oxyz. 1)O叫做坐标原点 2)x 轴,y轴,z轴叫做坐标轴. 3)过每两个坐标轴的平面叫做坐标面。 (2)右手表示法: 令右手大拇指、食指和中指相互垂直时,可能形成的位置。大拇指指向为x轴正方向,食指指向为y轴正向,中指指向则为z轴正向,这样也可以决定三轴间的相位置。 (,,)xyz(3)任意点坐标表示:空间一点M的坐标可以用有序实数组来(,,)xyz表示,有序实数组 叫做点M在此空间直角坐标系中的坐标,Mxyz(,,)记作(x叫做点M的横坐标,y叫做点M的纵坐标,z叫做点M的竖坐标) 222d,(x,x),(y,y),(z,z)212121(4)空间两点距离坐标公式: personal safety and safety equipment. 5.1.1.6 construction overall arrangement of instruments (see the following figure) ... 5.1.3.1.1 cabinets, Terminal cabinets, enclosures, UPS battery cabinet base hot-rolled angle steel, hot-rolled angle iron and steel production, the support base as a whole should be kept straight, the weld size overall dimensions meet the requirements should be the principle, Stent positioning and embedded parts after welding in prison. 5.1.3.1.2 bracket mounting holes required on arrival at the scene, cabinet base hole dimension processing. Enclosure base must be in the control room the control room floor before you start the installation to complete, and activities should be considered a floor support frame set match. Base installation errors shown in the table below. Permissible deviations mm/m items mm/full length straight level 1, 5, 1, 5, position error and parallel degree 5 5.1.3.2 system Panel, cabinet installation 5.1.3.2.1 unpacking and inspection (1) together with owners, supervision carried out jointly on behalf of the company, signed after the inspection opening inspection records; (2) before unpacking, on the surrounding floors, tables and chairs, tools, static elimination measures taken, check the device packaging is complete; upon opening the box, you should check if the packaging is damaged, whether the water, moisture-proof, shock-proof measures is good; (3) special tools should be used when opening the box, press level, in order to open packaging; be cautious, non-violent beating; (4) out of the box in accordance with the packing list one by one after an inventory of all hardware, spare parts, a random number of tools, models, specifications, should be consistent with the packing list; hardware looks good, no deformation, breakage, especially off defects such
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