，球
的半径分别为
和
，球心距离
,截面分别与球，球切于点
，
，（，是截口椭圆的焦点），则此椭圆的离心率等于
，其中
．
时，求证：
在
上单调递减；
有两个不相等的实数根
．
的取值范围；
． 
，
是抛物线
上异于
的两点．
，
，
的斜率分别为
，
，
，求证：
；经过点
，若
上恰好存在三个点
，使得
的面积等于
，求直线的方程． I was eating breakfast at home in Hampshire in March this year, scrolling (滚屏) through social media on my phone, when a story caught my eye. It was about a nine-year-old dog, Charlie, nicknamed the loneliest in Britain. He had been in a rescue center in Somerset for more than 500 days.
For some reason, nobody wanted to ad opt him. I clicked on the link and right away Charlie’ shuge, sad eyes stared back at me. I was attracted by him. I turned to my husband, Sam, and said: “We’ve got to have him.” He read the article over my shoulder and felt exactly the same way. We wanted to give Charlie a happy home and a new life. Over the past few years we have tried to adopt a few different dogs, but we haven’t had any luck—we were never top of the list. Sam and I got used to filling in forms and not hearing anything. We’d almost given up hope.
But Charlie is an older dog and we felt we’d be suited—even older dogs have a lot of love left to offer. So we took our time with the application, sent photographs of our house and garden. We explained why Charlie would be happy with us, and then forgot all about it.
A few days later we received an email from Brent Knoll animal center, saying we’d been shortlisted. We were so amazed! They asked us to visit Charlie and to see if he liked us. When we arrived, we were taken to the staff room. We didn’t know what to expect. We hadn’t been told much about Charlie’s circumstances, but as he had been given up for adoption and hadn’t been placed with a new owner for so long, we thought there might be issues. But the dog was full of joy and charisma (魅力).
He came straight over to us, all curious.
Day after day, we occupied ourselves in Charlie’s company.
Ann has been severely paralysed (瘫痪)for more than 18 years. She cannot speak and normally communicates. But now, she has been able to speak through an image on the computer using technology that translated her brain signals into speech and facial expressions.
The advance raises hopes that the technology could be on the edge of transforming the lives of people who have lost the ability to speak due to conditions like strokes (中风).
The latest technology uses tiny electrodes (电极) put on the top layer of the brain to detect electrical activity in the part of the brain that controls speech and face movements. These signals are translated directly into a digital avatar’s (化身) speech and facial expressions including smiling, frowning or surprise.
The team put 253 paper-thin electrodes on the top layer of Ann’s brain over an area important to speech. Afterwards Ann worked with the team to train the system to detect her unique brain signals for various speech sounds by repeating different phrases repeatedly. The computer learned 39 distinctive sounds and a Chat GPT-style language system was used to translate the signals into understandable sentences. This was then used to control an avatar with a voice personalised to sound like Ann’s voice before the injury, based on a recording of her speaking at her wedding.
The technology was not perfect, translating words incorrectly 28% of the time in a test run involving more than 500 phrases, and it generated brain-to-text at a rate of 78 words a minute, compared with the 110–150 words typically spoken in natural conversation. However, scientists said the latest advances in accuracy and speed suggest the technology is now at a point of being practically useful for patients. A crucial next step is to create a wireless form that could be put beneath the skull (颅骨).
1．How can Ann speak?| A．By tiny electrodes on her brain. |
| B．Through an avatar using the latest technology. |
| C．Through repeating different phrases repeatedly. |
| D．By a technology that detects her brain signals. |
| A．How the technology works. |
| B．How the technology benefits the patients. |
| C．How the technology translates the brain signal. |
| D．How the technology is put into wide application. |
| A．Ann’s cooperation. | B．Ann’s facial expressions. |
| C．An AI language system. | D．A recording of Ann’s speaking. |
| A．It is a promising way to help patients. |
| B．Its translating speed is too slow. |
| C．It cannot be applied to patients. |
| D．It is not accurate in translating at all. |
How to set up a good parent-child relationship
悬挂在
点。小球静止时，恰好位于同一水平面。细绳与竖直方向的夹角分别为
，已知小球的质量分别为
，电荷量分别为
，则下列说法正确的是（ ）
A．若小球的质量 ，则一定有 |
B．若小球的质量，则可能有 |
C．若小球所带电荷量 ，则一定有 |
D．若小球所带电荷量 ，则一定有 |
| A．藩镇割据势力的加强 | B．少数民族同中央政府矛盾激化 |
| C．农民阶级的日益扩大 | D．中央政府内部争权夺利的斗争 |
| A．封建时代贵族私官之遗蜕 | B．掌管贵族家庭最高祭祀权 |
| C．体现家国同治的职权特点 | D．封建政府的最高行政长官 |
某地是我国最主要的盐碱土分布区，原生盐碱化和次生盐渍化面积不断扩大。某科研团队选择当地主要土地利用方式进行盐碱土改良实验。图为“试验区五种土地利用方式土壤剖面中含盐量统计图”。据此完成下面小题。
| A．河套平原 | B．云贵高原 | C．四川盆地 | D．东南丘陵 |
| A．增加当地降水总量 | B．减少地表水分蒸发 | C．促使盐分向下运移 | D．降低区域地下水位 |
| A．尽量减少林木种植 | B．施有机肥作用不大 | C．农耕利于表土脱盐 | D．自然恢复效果最佳 |
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