首页 > 代码库 > JS画几何图形之五【过圆外一点作切线】
JS画几何图形之五【过圆外一点作切线】
样例:http://www.zhaojz.com.cn/demo/draw9.html
//画切线//point 圆外的一点//dot 圆心//r 半径function drawCircleTangent(point, dot, r){ //画辅助线-start var color = ‘DarkRed‘; //切线的颜色 var color2 = "#ccc"; //其它辅助线的颜色 drawLine(dot, [dot[0]+9*r,dot[1]], {color: color2}); // 延长圆心所在的水平线 drawLine(dot, [dot[0],dot[1]-4*r], {color: color2}); // 画出圆心所在的垂直线 drawPoint({ pw:2,ph:2,color:‘DarkRed‘,point: [dot[0]+9*r,dot[1],‘x‘] }); drawPoint({ pw:2,ph:2,color:‘DarkRed‘,point: [dot[0],dot[1]-4*r,‘y‘] }); drawLine(point, [point[0],dot[1]], {color: color2}); // 画point到x轴的垂直线 drawLine(point, dot, {color: color2}); // 连接point与dot drawLine([point[0]-2*r, point[1]], [point[0]+2*r, point[1]], {color: color2}); //画point所在的水平线 //画辅助线-end //point.push(‘point‘); drawPoint({ pw:2,ph:2,color:‘DarkRed‘,point: point }); //dot.push(‘centre‘); var r_square = Math.pow(r,2); // r的平方 var point_v = point[1]-dot[1]; //point到x轴的距离的平方 var point_h = point[0]-dot[0]; //point到y轴的距离的平方 var c_square = Math.pow(point_v,2) + Math.pow(point_h,2); //point到圆心的距离的平方 var c = Math.sqrt(c_square); //point到圆心的距离 var sinA = Math.abs(point_v)/c; //sinA var cosA = Math.abs(point_h)/c; //cosA var b_square = c_square-r_square; //point到切点的距离的平方 var b = Math.sqrt(b_square); //point到切点的距离 var sinB = b/c; //sinB var cosB = r/c; //cosB //以圆心为坐标圆点,确定point所在的象限 var quadrant = 1; //默认值 var pm_h = point_h == 0? point_h: point_h/Math.abs(point_h); //水平方向 var pm_v = point_v == 0? point_v: point_v/Math.abs(point_v); //垂直方向 var hv = pm_h*pm_v; //相乘,-1时point在一三象限,+1时point在二四象限,0时point在轴上 switch(hv){ case 1: if((pm_h+pm_v)==-2){ quadrant = 2; //第二象限 }else{ quadrant = 4; //第四象限 } break; case -1: if((pm_h-pm_v)==-2){ quadrant = 3; //第三象限 } break; case 0: if((pm_h+pm_v)==-1){ //point在x轴的负半轴或者y轴的正半轴时,断定point在第二象限 quadrant = 2; } if((pm_h+pm_v)==1){ //point在x轴的正半轴或者y轴的负半轴时,断定point在第四象限 quadrant = 4; } break; default: } var sinC = 0; var conC = 0; var sinD = 0; var conD = 0; switch(quadrant){ case 1: sinC = cosB*cosA+sinB*sinA; //sinC = sin(90+(B-A)) = cos(B-A) = cosB*cosA+sinB*sinA conC = -(sinB*cosA-cosB*sinA); //cosC = cos(90+(B-A)) = -sin(B-A) = -(sinB*cosA-cosB*sinA) sinD = -(cosA*cosB-sinA*sinB); //sinD = sin(270-(A+B)) conD = -(sinA*cosB+cosA*sinB); //conD = cos(270-(A+B)) break; case 2: sinC = -(cosB*cosA-sinB*sinA); //sinC = sin(-90+(A+B)) conC = sinA*cosB+cosA*sinB; //conC = cos(-90+(A+B)) sinD = cosA*cosB+sinA*sinB; //sinD = sin(90+(A-B)) conD = -(sinA*cosB-cosA*sinB); //conD = cos(90+(A-B)) break; case 3: sinC = -(cosA*cosB+sinA*sinB); //sinC = sin(-90+(A-B)) conC = -(sinA*cosB-cosA*sinB); //conC = cos(-90+(A-B)) sinD = (cosA*cosB-sinA*sinB); conD = sinA*cosB+cosA*sinB; break; case 4: sinC = cosA*cosB-sinA*sinB; conC = -(sinA*cosB+cosA*sinB) sinD = -(cosA*cosB+sinA*sinB); //sinD = sin(270+(A-B)) conD = (sinA*cosB-cosA*sinB); //conD = cos(270+(A-B)) break; default: } var tangentPointA = [point[0]+b*conC, point[1]+b*sinC]; //切点A位置 drawLine(point, tangentPointA, {color: color}); //画出切线 drawLine(dot, tangentPointA, {color: color2}); //连接圆点与切点 //drawArc(point, 17, (quadrant ==1 ||quadrant==4?180:0)-(quadrant ==2 ||quadrant==3?(-1):1)*Math.asin(sinC)*180/Math.PI, 0); var tangentPointB = [point[0]+b*conD, point[1]+b*sinD]; //切点B位置 drawLine(point, tangentPointB, {color: color}); //画出切线 drawLine(dot, tangentPointB, {color: color2}); //连接圆点与切点 //drawArc(point, 27, (quadrant ==1 ||quadrant==4?180:0)-(quadrant ==2 ||quadrant==3?(-1):1)*Math.asin(sinD)*180/Math.PI, 0); drawPoint({ //描切点 pw:3,ph:3,color:‘DarkRed‘,point: tangentPointA }); drawPoint({ //描切点 pw:3,ph:3,color:‘DarkRed‘,point: tangentPointB }); //画辅助弧 //(quadrant ==1 ||quadrant==4?360:0) drawArc(point, b, 60, (quadrant ==1 ||quadrant==4?180:0)-(quadrant ==2 ||quadrant==3?(-1):1)*Math.asin(sinC)*180/Math.PI-5);}
JS画几何图形之五【过圆外一点作切线】
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