轴对称在生产、生活实际中有着广泛应用,在数学中运用轴对称知识来解决的问题也是很多的。例已知△ABC是等腰直角三角形,∠A=90°,BD平分∠ABC交AC于D,CE⊥BD交BD延长线于E。求证:BD=2CE。分析 BD为∠ABC的平分线,且CE⊥BD,应用轴对称图形的性质,把△CBE沿 Axicon symmetry is widely used in production and life practice. There are many problems in the use of axisymmetric knowledge in mathematics. It is known that △ABC is an isosceles right-angled triangle, ∠A=90°, BD bisects ∠ABC to AC to D, and CE⊥BD to BD extends to E. Proof: BD=2CE. Analysis BD is the bisector of ∠ ABC, and CE ⊥ BD, the application of the nature of the axisymmetric pattern, the △ CBE along