代码中有注释，直接上代码

package com.fan;

import javafx.scene.layout.Pane;
import javafx.scene.paint.Color;
import javafx.scene.shape.Arc;
import javafx.scene.shape.ArcType;
import javafx.scene.shape.Circle;

public class FanPane1 extends Pane {


    //12个扇形
    private Arc arc[] = new Arc[12];
    //设置三个扇形的初始角度
    private double startAngle1 = 30;
    private double startAngle2 = 30;
    private double startAngle3 = 30;
    //风扇转动是每次增长的度数
    private double increment = 5;
    //3个圆
    private Circle[] circles = new Circle[3];
    public FanPane1(){
        for(int i = 100,j=0; i<=600; i+=200,j++){
            //设定3个圆的圆心
            circles[j] = new Circle();
            circles[j].setCenterX(i);
            circles[j].setCenterY(200/2);
            circles[j].setRadius(70);
            //边缘
            circles[j].setStroke(Color.BLUE);
            //填充颜色
            circles[j].setFill(Color.WHITE);
            //添加到面板中
            getChildren().add(circles[j]);
        }


        //为每个圆创建风扇
        for(int m = 0; m<12; m++){
            arc[m] = new Arc();
            //一个圆中有四个扇形并绑定圆心
            arc[m].centerXProperty().bind(circles[m/4].centerXProperty());
            arc[m].centerYProperty().bind(circles[m/4].centerYProperty());
            //扇形半径略小于圆
            arc[m].radiusXProperty().bind(circles[m/4].radiusProperty().divide(1.1));
            arc[m].radiusYProperty().bind(circles[m/4].radiusProperty().divide(1.1));
            //圆弧起始位置
            arc[m].setStartAngle(30+m*90);
            //圆弧长度
            arc[m].setLength(60);
            arc[m].setFill(Color.BLACK);
            arc[m].setType(ArcType.ROUND);
            getChildren().addAll(arc[m]);
        }
    }

    //public void reverse(){}

    //第一个风扇旋转方法
    public void move1(){
        setStartAngle1(startAngle1 + increment);
    }

    //设置角度
    public void setStartAngle1(double angle){
        startAngle1 = angle;
        setValues1();
    }

    //第二个风扇旋转方法
    public void move2(){
        setStartAngle2(startAngle2 + increment);
    }

    public void setStartAngle2(double angle){
        startAngle2 = angle;
        setValues2();
    }

    //第三个风扇旋转方法
    public void move3(){
        setStartAngle3(startAngle3 + increment);
    }

    public void setStartAngle3(double angle){
        startAngle3 = angle;
        setValues3();
    }

    //控制3个风扇旋转的方法
    public void move(){
        setStartAngle(increment);
    }

    public void setStartAngle(double angle){
        startAngle1 += angle;
        startAngle2 += angle;
        startAngle3 += angle;
        setValues1();
        setValues2();
        setValues3();
    }

    /*public void setValues(){
        for(int i = 0; i<12; i++){
            arc[i].setStartAngle(startAngle + i*90);
        }
    }
*/

    public void setValues1(){
        for(int i = 0; i<4; i++){
            arc[i].setStartAngle(startAngle1 + i*90);
        }
    }
    public void setValues2(){
        for(int i = 4; i<8; i++){
            arc[i].setStartAngle(startAngle2 + (i-4)*90);
        }
    }

    public void setValues3(){
        for(int i = 8; i<12; i++){
            arc[i].setStartAngle(startAngle3 + (i-8)*90);
        }
    }
}

package com.fan;

//有些类可能不需要导入
import javafx.animation.Animation;
import javafx.animation.KeyFrame;
import javafx.animation.Timeline;
import javafx.application.Application;
import javafx.event.EventHandler;
import javafx.geometry.Pos;
import javafx.scene.Scene;
import javafx.scene.control.Button;
import javafx.scene.layout.BorderPane;
import javafx.scene.layout.HBox;
import javafx.scene.layout.Pane;
import javafx.scene.paint.Color;
import javafx.scene.shape.Arc;
import javafx.scene.shape.ArcType;
import javafx.scene.shape.Circle;
import javafx.stage.Stage;
import javafx.util.Duration;
import javafx.event.ActionEvent;
//import java.awt.event.ActionEvent;
import javax.lang.model.element.ElementVisitor;
import java.util.EventListener;

public class test extends Application {


    public static void main(String[] args) {
        launch(args);
    }
    @Override
    public void start(Stage primaryStage) {
        //创建三个圆
        FanPane1 fan = new FanPane1();



        //水平存放按钮，间距为5
        HBox hbox = new HBox(5);
        Button btPause = new Button("start1");
        Button btResume = new Button("end1");
        //按钮靠右
        hbox.setAlignment(Pos.BOTTOM_LEFT);
        hbox.getChildren().addAll(btPause, btResume);

        HBox hbox1 = new HBox(5);
        Button btPause1 = new Button("start2");
        Button btResume1 = new Button("end2");
        //按钮放中间
        hbox1.setAlignment(Pos.BOTTOM_CENTER);
        hbox1.getChildren().addAll(btPause1, btResume1);


        HBox hbox2 = new HBox(5);
        Button btPause2 = new Button("start3");
        Button btResume2 = new Button("end3");
        //按钮放在右边
        hbox2.setAlignment(Pos.BOTTOM_RIGHT);
        hbox2.getChildren().addAll(btPause2, btResume2);

        HBox hbox3 = new HBox(5);
        Button btPause3 = new Button("start all");
        Button btResume3 = new Button("end all");
        //Button moreSpdde = new Button("speedUp");
        //总控制按钮放中间
        hbox3.setAlignment(Pos.BOTTOM_CENTER);
        hbox3.getChildren().addAll(btPause3,btResume3/*,moreSpdde*/);

        //三个圆放在最上方
        BorderPane pane = new BorderPane();
        pane.setTop(fan);
        //控制三个圆的按钮放在分别放在左中右
        pane.setLeft(hbox);
        pane.setCenter(hbox1);
        pane.setRight(hbox2);
        pane.setBottom(hbox3);

        //创建控制面板
        Scene scene = new Scene(pane, 600, 300);
        primaryStage.setTitle("三个风扇");
        primaryStage.setScene(scene);
        primaryStage.show();

        //一开始风扇都处于静止状态
        //对于第一个风扇，创建一个KeyFrame用于每100ms运行一个动作事件move1
        Timeline animation = new Timeline(new KeyFrame(Duration.millis(30),e->fan.move1()));
        animation.setCycleCount(Timeline.INDEFINITE);

        //对于第一个风扇，创建一个KeyFrame用于每100ms运行一个动作事件move1
        Timeline animation1 = new Timeline(new KeyFrame(Duration.millis(30),e->fan.move2()));
        animation1.setCycleCount(Timeline.INDEFINITE);

        //对于第一个风扇，创建一个KeyFrame用于每100ms运行一个动作事件move1
        Timeline animation2 = new Timeline(new KeyFrame(Duration.millis(30),e->fan.move3()));
        animation2.setCycleCount(Timeline.INDEFINITE);



        //使用lambda表达式简化表达式
        //点击start按钮开始转动
        btPause.setOnAction(e->animation.play());
        //点击end按钮结束
        btResume.setOnAction(e->animation.pause());

        btPause1.setOnAction(e->animation1.play());
        btResume1.setOnAction(e->animation1.pause());

        btPause2.setOnAction(e->animation2.play());
        btResume2.setOnAction(e->animation2.pause());

        //点击start all按钮所有风扇开始
        btResume3.setOnAction(e-> {
            animation.pause();
            animation1.pause();
            animation2.pause();
        });
        //点击end all按钮所有风扇停止
        btPause3.setOnAction(e-> {
            animation.play();
            animation1.play();
            animation2.play();
        });
        
    }

}

测试结果
本来还想加一个控制速度的按钮的，但是没有实现