Cho hình lập phương \(ABCD.{A^\prime }{B^\prime }{C^\prime }{D^\prime }.\) Số đo góc nhị diện \(\left[ {{C^\prime },{\rm{AB}},{\rm{C}}} \right]\) bằng
Cho hình lập phương \(ABCD.{A^\prime }{B^\prime }{C^\prime }{D^\prime }.\) Số đo góc nhị diện \(\left[ {{C^\prime },{\rm{AB}},{\rm{C}}} \right]\) bằng
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Vì $ABCD.{A'}{B'}{C'}{D'}$ là hình lập phương nên $C'C \perp (ABCD)$, suy ra $C'C \perp AB$.
Mặt khác, $AB \perp BC$ (do $ABCD$ là hình vuông).
Do đó, $AB \perp (BCC'B')$, suy ra $(B'CB)$ là mặt phẳng vuông góc với cạnh $AB$ của góc nhị diện.
Vậy góc nhị diện $[{C'},{AB},{C}]$ là $\widehat{C'BC}$.
Vì $BCC'B'$ là hình vuông nên $\widehat{C'BC} = {90^o}$.
Câu hỏi liên quan
Read the following passage about lifelong learning and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
My father was an enthusiastic traveller, but as he got older, he increasingly suffered from what he called “travel fever,” a vivid term for the acute anxiety felt before a journey, essentially due to uncertainty about all the things that could go wrong. Sadly, this eventually stopped him from going on holiday. Then I, too, started to suffer similar apprehension, so I consulted a psychotherapist. She recommended a small piece of cognitive behavioural therapy, which involved acknowledging the mental and physical symptoms of anxiety, but telling myself that these were essentially indistinguishable from feelings of excitement about the prospect of a journey. This reframing of my feelings has been reasonably effective – it’s one way of dealing with uncertainty.
It’s not just the uncertainty of travel that we all have to face. None of us knows what is going to happen, or what is currently going on outside our immediate knowledge, or the vast majority of what has happened in the past. Uncertainty has been called the “conscious awareness of ignorance,” and there is a lot we are ignorant about. We must navigate through life without complete information, and this fundamental uncertainty is an inescapable aspect of human existence.
We all have to live with this uncertainty and, as a statistician, it’s been my job to try to analyse data and assess some of the risks we face. (I)But some deal with uncertainty with more equanimity than others. (II) Psychological studies, as well as our own experience, reveal a wide variation in people’s responses, including those that are cognitive (how we think), emotional (how we feel), and behavioural (what we do). (III)For example, when faced with uncertainty, do you deny it or acknowledge it, does it put the wind up you or make you courageous, do you try to avoid it or approach it?(IV)
Of course, your response may depend on the context, just as an individual’s appetite for risk-taking can vary across different areas of their lives. I have known people who seemed to take huge physical risks, yet were very cautious with money. Numerous scales have been developed to measure how well people can deal with uncertainty, based on responses to statements ranging from “Unforeseen events upset me greatly” to “When it’s time to act, uncertainty paralyses me.” Those who score highly, and find it difficult to tolerate uncertainty, may also be at increased risk of clinically significant anxiety and depression.
Where in paragraph 3 would the following sentence best fit?
"This variation reflects the complexity of human psychology when facing unknown outcomes."
Các yếu tố cấu thành thị trường gồm những thành phần nào?
- Trong không gian với hệ tọa độ
, cho đường thẳng
. Vectơ nào dưới đây là một vectơ chỉ phương của
?
Nội dung nào dưới đây không phải ưu điểm của cơ chế thị trường?
Nhận định nào dưới đây không đúng về đặc điểm dân số nước ta?
Ngân sách Nhà nước cần được cơ quan nào thông qua trước khi thi hành?
Trường hợp không có túi nylon thì có thể dùng hoá chất nào để chứng minh sự thoát hơi nước ở lá?
Tam giác ABC cân tại A có \(A = {120^ \circ }\). Trong các khẳng định sau, khẳng định đúng là?
Hoạt động sản xuất là hoạt động con người sử dụng các yếu tố sản xuất để tạo ra các sản phằm đáp ứng nhu cầu của đối tượng nào?
Nội dung nào dưới đây là hoạt động tiêu dùng?
Trong những nhận dịnh sau, nhận định nào đúng, nhận định nào sai khi nói về câu văn dưới đây?
Nguyễn Du được sinh ra trong một gia đình có truyền thống văn chương và nhiều đời làm quan nên Nguyễn Du đã được thừa hưởng năng khiếu văn chương ngay từ khi còn rất nhỏ.
Tốc độ truyền sóng âm không phụ thuộc vào
Lĩnh vực nghiên cứu sinh học được tìm hiểu trong lớp 10 là
IC 555 là loại IC có hai hàng chân được biểu diễn như hình, thường được sử dụng trong các mạch tạo xung và định thời gian. IC này có 8 chân, với chức năng như sau: chân 8 (Vcc) cấp nguồn, chân 1 (GND) nối đất và các chân còn lại đảm nhiệm vai trò điều khiển và tạo tín hiệu.
Chế độ nước sông theo mùa do tác động của nhân tố chủ yếu nào sau đây ở nước ta?
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Who are you?
On 6 June 2011, the media reported the kidnapping of a female Syrian-American blogger called Amina Arraf. Regarded as a daring political rebel, the 35-year-old had gained popularity for her blogs protesting the lack of freedom in Syria. Yet, only two days later, it was discovered that Amina had never existed. She was a fictional character created by Tom MacMaster, a forty-year-old American PhD student at the University of Edinburgh.
MacMaster's invention is an example of sock puppetry: the use of false identities to deceive others. (I). The false identity is known as a sock puppet, and its creator, a puppet master. (II). MacMaster created Amina to express his views on Middle Eastern affairs without offending other Americans. (III). Writing as Amina gave him the authority to say what he wanted. (IV).
At the turn of the millennium, Debbie Swenson created Kaycee Nicole, a fictional teenage girl suffering from terminal cancer. Her blog, Living Colours, described Kaycee’s struggle, attracting millions of readers. When Kaycee 'died' on 14 May 2001, her fans were devastated. Their distress turned to anger when they discovered that Kaycee was not real. Swenson had developed the character to gain attention and sympathy.
While Amina and Kaycee were used to meet their creators' needs, other identities have been invented for profit. American gun advocate John Lott made up a fake student, Mary Rosh, to defend his writing online and give him positive reviews. Mystery writer RJ Ellory fabricated a team of sock puppets to praise his own books and tear into those of his rivals. British historian Orlando Figes lost credibility when he had to publicly apologise for doing the same.
Yet none of these stories compare to large-scale sock puppetry today. The New York City Police Department has false identities on social media to catch criminals. The US military is believed to use sock puppets to track potential terrorists. It is clear that the internet is a minefield today and we all have to step very carefully in order not to get hurt.
The phrase "tear into" could best be replaced by:
Vì sao có sai số hệ thống?
Thế nào là tỉ lệ tăng tự nhiên dân số?
Tiện ích "Defragment" của hệ điều hành có tác dụng gì?
Choose the word or phrase (A, B, C, or D) that best fits each space in the following passage.
To many people, their friends are the most important in their life. Really good friends always (16)____joys and sorrows with you and never turn their backs on you. Your best friend may be someone you have known all your life or someone you have grown (17) ___with.
There are all sorts of things that can (18)____about this special relationship. It may be the result of enjoying the same activities and sharing experiences. Most of us have met someone that we have immediately felt relaxed with as if we had known them for ages. However, it really takes you years to get to know someone well (19)___to consider your best friend.
To the majority of us, this is someone we trust completely and (20)___understands us better than anyone else. It's the person you can tell him or her your most intimate secrets.
(20)____