教学目标•(一)知识与技能•类比同分母分数加减法的法则得出同分母分式加减法则.会进行同分母分式加减法的运算.•(二)过程与方法•由学生自主探索解题途径,在此过程中,通过观察、对比等手段,会进行同分母分式加减法的运算.加强学生的直觉思维,培养学生的观察能力;•(三)情感与价值观要求•在行同分母分式加减法的运算过程中激发学生学数学的兴趣,培养创新能力和探索精神.•重点:同分母分式加、减运算•难点:同分母分式加减运算的结果的处理.一、自主学习•1、填空:•小结:•2、计算•=,•并思考同分母分数的加减法的法则是•3、你能类比得出同分母分式加减法的法则吗?用公式如何表示?babaabayxyxyxyx323252515251即fhfhggg同分母的分式加减法则是:同分母的分式相加减,分母不变,把分子相加减.计算:233xxyxyxy解2233333()3xxyxxyxxyxxyxyxyxy注意:把分子相加减后,要进行因式分解,通过约分,把所得结果化成最简分式.计算233xxyxyxy22222222xyxxyyxxyyacbcabbaffgg计算:22222222xyxxyyxxyy解22222222xyxxyyxxyy222222xyxyxyxyxxyyxyxy计算:ffgg解解00ffffgggg从例3看到,因此也有0ffggffgg由于因此也有ffggffgg计算:acbcabba解acbcacbcabbaababacbcacbcabababcabcab1.计算:7381xxx222xyxyxy22223acbcabab738x2x22xyxyxyxyxyxy22acbcab22cababcab31021xxx222xyxyyx3233223xyxyyx3102x5x22xyxyxy22xyxyxy323232xyxyxy32132xyxy2.计算:3、计算:•(1)(2)221310,xxxx-+=+28.已知求的值.131112xxxxxx2222235xyxyxyx