题目

如图所示，BF是∠DBC的平分线，CF是∠ECB的平分线，则点F是否在∠BAC的平分线上？试说明理由． 答案：【答案】见解析【解析】如图过F点分别作AD，BC，AE的垂线，由角平分线的性质可得FM＝FN=FP，再根据角平分性质的逆定理即可得证.解：点F在∠BAC的平分线上．理由：如图所示，过点F作FM⊥AD于M，FN⊥BC于N，FP⊥AE于P，∵BF是∠DBC的平分线，且FM⊥AD，FN⊥BC，∴FM＝FN，又∵CF是∠ECB的平分线，且FN⊥BC，FP⊥AFresh off his MasterChef Junior run, Evan Robinson, who is only 12 years old, is using his kitchen skills to raise money for Puerto Rico. The TV show contestant wanted to offer help after hurricanes(飓风) hit the country last September.“I’ve been seeing, all over the news, people struggling,” Evan said. “They can’t get fresh water, electricity; they can’t get really anything. I know I’m just a kid, but I think if a lot of people do something, a lot of things will get better.”He raises money by baking and taking online orders for homemade empanadas(馅 饼). He started cooking on a recent Friday night. By the next Sunday evening, he had filled orders for 420 empanadas — — roasted chicken, cheeseburger and vegetarian — — getting $18 for six empanadas and $30 for a dozen.His mom, Veronica Robinson, helped him send the empanadas around the city. “We’ve never done anything like this before,” she said. “But it’s a great idea, so I want to help him make it work.”For Evan’s out-of-town friends and supporters, he has set up a crowdfunding(众筹) page. Through it, he’s hoping to raise $1, 500 in “virtual (虚 拟 的) empanadas”. This is because he heard on the news that it could take Puerto Rico years, maybe even 10 years, to recover(复 原) from the hurricanes. And he said, “Fruit pies are up next. And my baking will continue as well.”It’s a difficult job, especially for a kid with homework and Boy Scouts and friendships to tend to. But he doesn’t seem worried.“It’s what we’re supposed to do.” he said. “I’m a human. They’re humans. Why shouldn’t I help them?”Indeed.1.How did Evan help those struggling in Puerto Rico?A. He asked his parents to send the empanadas around the city.B. He continued offering a lot of fresh water and fruit pies to them.C. He donated his big winning prize in his MasterChef Junior run.D. He raised money by selling homemade empanadas through online orders.2.Evan set up a crowdfunding page because .A. he raised more money than he expected for the people in needB. he knew that it could take Puerto Rico a long time to recoverC. he wanted more and more friends to know his kitchen skillsD. the number of online orders was beyond his expectation3.According to the passage, which are the best words to describe Evan?A. kind-hearted and helpful B. careful and confidentC. honest and hard-working D. humorous and organized4.How can we understand the last sentence in the passage?A. Friendship is important in our lives. B. It’s difficult for humans to raise money.C. We should help those who’re in need. D. Everyone must do something unusual. 1.D 2.B 3.A 4.C 【解析】文章讲述了Evan Robinson一个12岁的小男孩，通过卖他自己制作的食物来为受灾的人筹钱。 1.根据He raises money by baking and taking online orders for homemade empanadas(馅 饼).可知是通过在网上卖馅饼来筹钱；故选D 2.根据he has ...