There's no rose without a thorn(刺). This thought is absolutely necessary to prepare you _____41_____ (experience) less pain and more joy in your journey of life. With a bird's-eye view, you may realize something meaningful. During your school _____42_____ (year), while joyfully _____43_____ (study) knowledge you are also under the pressure of homework, examinations, _____44_____ ranking. You face crises and pains. Meanwhile, all sorts of complex affairs may happen _____45_____ you and your classmates. In your _____46_____ (young), adolescence may fill you with unrealiz如图,在△ABC中,AB=AC,AD是BC边上的高,过点C作CE∥AB交AD的延长线于点E.求证:CE=AB.
答案见解析.
【解析】试题分析:由等腰三角形三线合一性质可得∠BAE=∠CAE,由CE∥AB可得∠E=∠BAE,进而可得∠E=∠CAE,所以AC=CE,又因为AB=AC,所以CE=AB即可证明.
试题解析:
证明:∵AB=AC,AD是BC边上的高,
∴∠BAE=∠CAE,
∵CE∥AB,
∴∠E=∠BAE,
∴∠E=∠CAE,
∴CE=AC,
...