题目

用方框中所给单词的适当形式填空，每词仅用一次。role, develop, three, health, easy【1】--Why don’t you get a job yourself? --That’s________ said than done.【2】The_________ of AI（人工智能）will enable us to learn more about our brains.【3】–It’s raining again! --Yeah, this is the__________ rainy day in the week!【4】Everyone has a __________ to play in making our city more beautiful.【5】My grandfather keeps________ by eating well and exercising regularly.如图，在等腰三角形ABC中，AC=BC，分别以BC和AC为直角边向上作等腰直角三角形△BCD和△ACE，AE与BD相交于点F，连接CF并延长交AB于点G．求证：CG垂直平分AB． 证明见解析． 【解析】试题分析：通过证明△AFC≌△CEB可得∠ACF=∠BCF，根据等腰三角形三线合一的性质即可得． 试题解析：∵CA=CB， ∴∠CAB=∠CBA， ∵△AEC和△BCD为等腰直角三角形， ∴∠CAE=∠CBD=45°，∠FAG=∠FBG， ∴∠FAB=∠FBA， ∴AF=BF， 在三角形ACF和△CBF中， ， ∴△AFC...