☾༄꧁༺⚜️🖤 𝓛𝓾𝓬𝓴𝔂 ☯︎ 𝓐𝓵𝔀𝓪𝔂 ²ᵏ¹⁴˚🤍👑 ༘✦ ༻꧂𓆩☽𓆪

Giới thiệu về bản thân

=))) 😑 🥱☕🛌 (ᴗ˳ᴗ)zZ𝕫 The drama is so gripping; I look forward to it every day. =)) "The most beautiful thing about a person isn't material wealth or outward appearance, but their smile—a smile that only appears when they truly reach a certain milestone in life." Posting a status every day. O_o What are you looking at? Why are you still reading? =)) "A flower might look beautiful on the outside, but inside it is slowly withering, eroded by indifference and despair." "Those who truly succeed in their fields are often the ones who no longer exist in this vast world..." "Optimism is the belief that leads to success. Nothing can be achieved without hope and self-confidence." I need a moment of quiet to reflect. My head is... I need some peace. Is it following me? "Are you afraid of death? No. It’s because they have families—and so do I. I’m afraid that they..."...would be lonely and cry if they could no longer see me... but at that point, there was nothing I could do. Why? Because by then, I would no longer exist." It feels as though someone, somewhere, is talking about me. Perhaps it is all just a misunderstanding. "Don't just stay silent and act the fool; pick up the sword and fight to the very end." It is so quiet today. There is no one around to talk to. Regarding July 7, 2026: I likely won't be studying on OLM after that date. I have finished reviewing the 6th-grade curriculum and am nearly done with the 7th-grade material, so there isn't much left for me to learn there. I might take a break for a while and return later. If I do log back in, it will probably just be to answer questions in the Q&A section. In my opinion, people should still study independently rather than relying too heavily on AI. I know I am still just a child. I want to enjoy my summer, too, but sometimes my studies and responsibilities...Others make me feel overwhelmed. Maybe a part of me has changed a long time ago. Think carefully before making some decisions. Do what you really want to do before the opportunity passes away. My favorite songs are "Who Listens When I Sing × Reincarnation Beyond Redemption" (邊個聽我唱歌時 × 轉世超越救贖) and Sinos De Natal. What I want is just a peaceful life. Everything I learned from OLM was extremely useful. I'm "locked" again... nooo. 😭 Maybe someone is viewing my personal page. :) Honestly, I don't know how to express my feelings. Thanks, we're done. Hope you get it done soon! Sakai, if you are reading this, please send my apologies to kemaodanh000. Even though I have the right to do that, I shouldn't behave like that. I'm really sorry. I already guessed that before, so I decided to still say it quickly. I'm almost begging you... I really don't want to fall into that situation. nooo. 😭😭😭 Hope you can see and understand. Can you tell me exactly what time she will send the text message? Hope everything goes smoothly,Sakai. Is it too late to delete this? :) Probably too late -.- I think it's too late; hopefully, *he*—oops, I mean *she* (KMD)—is busy tonight :) (really hoping so). Aha, I’ve figured out a strategy: when she messages, I’ll just say "OK" and then go offline—perfect :))) Switching to English after this would actually be great :) Perfect. This post is long, so it’ll take a while to translate =)) I’m so happy because my cat has recovered from its illness ₍₍⚞(˶ˆᗜˆ˵)⚟⁾⁾ ₍^. .^₎⟆ It’s sitting quietly watching a movie with me—pretty cool, except the little rascal keeps scratching the sofa (╥ ᴗ ╥) Now I just have to wait (っ- ‸ - ς) I was feeling really happy, but then two kittens died from illness ╰┈➤(◞‸ ◟)💧 but it’s okay because I still have two other cats plus this annoying little rascal :) ≽^• ˕ • ྀི≼ so I should stay optimistic. Wait, it looks like someone is watching me (¬_ ´¬ ) looks like more than one person (˵ ¬ᴗ¬˵) Anyway, I’ll keep watching until 8 o'clock, then ask... ask what? I have no f*cking clue ( ╹ -╹)? So scared (,,•᷄﹏‎•᷅,,) ...Done. It was totally normal.Just how happy it is to be yourself again. ₍₍⚞(˶ˆᗜˆ˵)⚟⁾⁾
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xếp hạng Ngôi sao 1 ngôi sao 2 ngôi sao 1 Sao chiến thắng
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xếp hạng Ngôi sao 1 ngôi sao 2 ngôi sao 1 Sao chiến thắng
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(Thường được cập nhật sau 1 giờ!)

Tham khảo nhé

Ta cần chứng minh:

\(\frac{a}{b} < \frac{a + c}{b + d} < \frac{c}{d}\)

với \(b > 0 , \&\text{nbsp}; d > 0\)

\(\frac{a}{b} < \frac{c}{d} .\)

Chứng minh

Từ

\(\frac{a}{b} < \frac{c}{d}\)

(vì \(b , d > 0\)) nên

\(a d < b c . \left(\right. 1 \left.\right)\)

Chứng minh \(\frac{a}{b} < \frac{a + c}{b + d}\):

Ta có

\(\frac{a}{b} < \frac{a + c}{b + d}\) \(\Leftrightarrow a \left(\right. b + d \left.\right) < b \left(\right. a + c \left.\right)\) \(\Leftrightarrow a b + a d < a b + b c\) \(\Leftrightarrow a d < b c ,\)

đúng theo (1).


Chứng minh \(\frac{a + c}{b + d} < \frac{c}{d}\):

Ta có

\(\frac{a + c}{b + d} < \frac{c}{d}\) \(\Leftrightarrow d \left(\right. a + c \left.\right) < c \left(\right. b + d \left.\right)\) \(\Leftrightarrow a d + c d < b c + c d\) \(\Leftrightarrow a d < b c ,\)

đúng theo (1).


Vậy

\(\boxed{\frac{a}{b} < \frac{a + c}{b + d} < \frac{c}{d} .}\)