2015年春九年级数学下册 2.1 直线与圆的位置关系课件2 浙教版

年春九年级数学下2015册直线与圆的位置

2.1关系课件（新版）浙2教版欢迎来到年春九年级数学下册课件，本节课我们将学习直线与圆的位2015置关系让我们开始吧！Understanding LinearEquationsLinear equationsare thebuilding blocksof algebra.They representa relationship between twovariablesthat createa straightline whengraphed.1Standard Form2Slope-Intercept Form3Point-Slope FormThestandard form of Theslope-intercept Thepoint-slope forma linear equation is Axform of a linearof alinear equationis+By=C,where A,B,equationisy=mx+b,y-y1=mx-x1,and Care constants.where mrepresents wherem representstheslope andb theslope andx1,y1represents the y-represents apoint onintercept.the line.Exploring QuadraticEquationsQuadratic equationsinvolve termsthat aresquared,resulting ina parabolicshape whengraphed.1Standard FormThestandard form ofa quadraticequation isAx^2+Bx+C=0,Vertex Form2where A,B,and Care constants.The vertexformofa quadraticequationis fx=ax-h^2+k,where h,k representsthe vertex3Factored Formof the parabola.The factoredformofaquadraticequationis fx=ax-r1x-r2,where r1and r2are theroots orx-intercepts of the parabola.Discovering ExponentialFunctionsExponential functionsinvolve termswith aconstant baseraised toa variableexponent,resulting ina curvedgraph.Growth DecayCompound InterestExponential functions with ExponentialfunctionswithExponentialfunctions cana positive basegreater thanapositivebase between0model compoundinterest,1represent exponentialand1represent exponentialpopulation growth,andgrowth.decay.radioactive decay.Mastering TrigonometryTrigonometryis thestudy of the relationshipsbetween anglesand sidesof triangles.Sine sinCosine cosTheratio of the length oftheside Theratio ofthe length ofthesideopposite the angle to the lengthoftheadjacent to the angleto the lengthofthehypotenuse.hypotenuse.Tangent tanPythagorean IdentityTheratio ofthelengthoftheside Therelationshipbetweenthe threeoppositetheangletothelengthofthe trigonometricfunctions andtheside adjacenttotheangle.Pythagorean theorem.Applying CalculusConceptsCalculus allowsus tounderstand andanalyze changeand motion.Derivatives IntegralsApplicationsDerivatives measurethe Integralscalculate theCalculus isused inrateat whicha functionaccumulation ofphysics,engineering,is changingat anygiven quantitiesover agiven economics,and manypoint.interval.other fieldsto modelandsolve real-worldproblems.Exploring AnalyticGeometryAnalytic geometrycombines algebraand geometryto studygeometric propertiesusing coordinates.Coordinate PlaneDistance FormulaSlope FormulaThecoordinate planeis Thedistance betweentwo Theslope ofalinecan beformedby twopoints ina coordinateplane foundusing theslopeperpendicular numberlines:is calculatedusing theformula orby calculatingthex-axis andthey-axis.distance formula.the riseover run.Understanding ProbabilityProbabilityis thelikelihood orchance ofan eventoccurring.1Experimental ProbabilityExperimentalprobability iscalculated byconducting experimentsorobservations togather data.2Theoretical ProbabilityTheoreticalprobability iscalculated basedon mathematicalprinciples andassumptions.3Compound ProbabilityCompoundprobability isthe probabilityof twoor moreindependentevents occurring.。