Và cụ thể trong chương trình toán 9 căn bậc hai này, các bạn học sinh sẽ vừa được củng cố lại một số kiến thức cũ đã học từ năm lớp 7. Toán 9 căn bậc hai có thể được chia thành 2 loại phổ biến, gọi là căn bậc 2 số học và căn thức bậc 2. Thông thường, khi Những tính chất cơ bản của căn bậc 3 lớp 9. Chúng ta cần quan tới 3 tính chất cơ bản nhất của một căn bậc ba thông thường. Đó là: x < y ⬄ 3 √ x < 3 √ y; 3 √ x.y = 3 √ x. 3 √ y; Trong trường hợp y khác 0 ta có: Khai căn bậc 2. Căn bậc hai của một số a là một số x sao cho x2 = a, hay nói theo cách khác là số x mà bình phương lên thì = a. Ví dụ, 3 và −3 là căn bậc nhì của 9 vì 32 = (−3)2 = 9. Mọi số thực a không âm đều phải có một căn bậc hai không âm duy nhất, hotline là căn bậc Số a > 0 có hai căn bậc hai là √a và -√a , trong đó √a được gọi là căn bậc hai số học của a. - Căn bậc ba của một số thực a là số x sao cho x 3 = a, kí hiệu . - Phép khai phương đơn giải: b) Phương pháp giải: - Sử dụng các hằng đẳng thức để biến đổi biểu thức Bài giảng: Căn bậc ba (Căn bậc 3) Bài học thuộc kiến thức toán học lớp 9 Giáo viên giảng dạy: cô giáo Nguyễn Thu Hà Bài giảng cũng nằm trong khóa học Ynn0o. Bên cạnh căn bậc 2, căn bậc 3 cũng là kiến thức quan trọng cần nhớ trong chương trình Toán lớp 9 và thường xuyên xuất hiện ở các dạng bài trong đề thi học kỳ và thi vào lớp 10 các năm. Chính vì vậy, HOCMAI sẽ tổng hợp lý thuyết và các dạng bài tập thường gặp về căn bậc 3 để các em học sinh tham khảo. 1. Định nghĩa về căn bậc 3 Căn bậc ba của một số thực hay một biểu thức là x x là số thực hay X X là biểu thức lần lượt là a hay A sao cho thỏa mã được điều kiện a³ = x và A³ = X. Ký hiệu ∛x = a với x và a là số thực ∛X = A với X và A là biểu thức Số 3 trong căn bậc 3 được gọi là chỉ số căn. Phép lấy căn bậc ba của một số hay một biểu thức được gọi là phép khai căn bậc ba. Ví dụ ∛27 = 3 vì 33 = 27 Lưu ý Mỗi số thực a chỉ có duy nhất một căn bậc 3. Cụ thể – Nếu a > 0 ⇒ ∛a > 0 – Nếu a < 0 ⇒ ∛a < 0 – Nếu a = 0 ⇒ ∛a = 0 2. Điều kiện của căn bậc 3 Khác với căn bậc 2, căn bậc 3 không yêu cầu nhân tố trong căn phải lớn hơn hoặc bằng 0 mà có thể là số âm và số dương tùy ý. Ngoài ra tùy từng dạng bài mà điều kiện và tập xác định khác nhau ví dụ đối với căn bậc 3 của một thương thì mẫu số luôn phải khác 0,… 3. Một số tính chất của căn bậc 3 Như vậy ta có thể thấy được việc khai căn cũng như các tính chất của căn bậc 3 khá đơn giản và không phức tạp như căn bậc 2 do chúng ta không cần phải xét về dấu của giá trị. 4. Áp dụng các tính chất của căn bậc 3 Từ các tính chất trên, ta có thể rút ra các quy tắc đưa thừa số vào trong căn hoặc khai căn, các quy tắc khử mẫu của biểu thức lấy căn bậc ba hoặc quy tắc trục căn bậc ba ở mẫu như sau B. Một số dạng bài thường gặp về căn bậc 3 Dạng 1 Tính giá trị căn bậc 3 của số thực, của biểu thức Để làm được dạng bài này, các em học sinh cần nắm được quy tắc đưa số, giá trị vào trong căn và ra ngoài căn. Cụ thể Dạng 2 So sánh các căn bậc 3 với nhau Khi làm dạng bài này, các em học sinh chỉ cần nhớ quy tắc sau Dạng 3 Giải phương trình chứa căn bậc 3 Với dạng bài này, các em cần áp dụng các quy tắc biến đổi vào căn và thực hiện phương pháp khai căn để tìm giá trị. C. Bài tập thực hành về căn bậc 3 Bài tập 1 Hãy chứng minh giá trị của biểu thức sau không bị ảnh hưởng bới biến Hướng dẫn giải Bài tập 2 Giải các phương trình sau Hướng dẫn giải Bài tập 3 Rút gọn các biểu thức sau Hướng dẫn giải Hy vọng rằng với bài viết tổng hợp căn bậc 3 sẽ giúp các em học sinh có thêm các kiến thức cần thiết phục vụ cho việc học tập cũng như ôn tập thi vào lớp 10 môn Toán một cách hiệu quả nhất. Tham khảo thêm Rút gọn biểu thức chứa căn bậc 2 Tính căn bậc 3 số học hay Khai căn bậc 3 online nhanh chóng không cần máy tính. Chỉ cần nhập các hệ số bên dưới tương ứng với công thức tính căn bậc ba sau \x = \sqrt[3]{a}\ Ví dụCăn bậc 3 của số 8 bằng 2 Lý thuyết Căn bậc ba của một số a là số x sao cho x3 = a. Căn bậc 3 của số a được ký hiệu là \\sqrt[3]{a}\. Số 3 được gọi là chỉ số của căn. Phép tìm căn bậc ba của một số gọi là phép khai căn bậc ba. Chú ý từ định nghĩa của căn bậc ba, ta có \\sqrt[3]{a}\3 = a Căn bậc ba của số dương là số dương;Căn bậc ba của số âm là số âm;Căn bậc ba của số 0 là chính số 0; Để khai phương một số, ngoài công cụ tính căn bậc ba trên website này người ta còn có thể dùng máy tính bỏ túi hoặc dùng bảng số. Bảng lập phương từ 1 đến 100 1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 6³ = 216 7³ = 343 8³ = 512 9³ = 729 10³ = 1000 11³ = 1331 12³ = 1728 13³ = 2197 14³ = 2744 15³ = 3375 16³ = 4096 17³ = 4913 18³ = 5832 19³ = 6859 20³ = 8000 21³ = 9261 22³ = 10648 23³ = 12167 24³ = 13824 25³ = 15625 26³ = 17576 27³ = 19683 28³ = 21952 29³ = 24389 30³ = 27000 31³ = 29791 32³ = 32768 33³ = 35937 34³ = 39304 35³ = 42875 36³ = 46656 37³ = 50653 38³ = 54872 39³ = 59319 40³ = 64000 41³ = 68921 42³ = 74088 43³ = 79507 44³ = 85184 45³ = 91125 46³ = 97336 47³ = 103823 48³ = 110592 49³ = 117649 50³ = 125000 51³ = 132651 52³ = 140608 53³ = 148877 54³ = 157464 55³ = 166375 56³ = 175616 57³ = 185193 58³ = 195112 59³ = 205379 60³ = 216000 61³ = 226981 62³ = 238328 63³ = 250047 64³ = 262144 65³ = 274625 66³ = 287496 67³ = 300763 68³ = 314432 69³ = 328509 70³ = 343000 71³ = 357911 72³ = 373248 73³ = 389017 74³ = 405224 75³ = 421875 76³ = 438976 77³ = 456533 78³ = 474552 79³ = 493039 80³ = 512000 81³ = 531441 82³ = 551368 83³ = 571787 84³ = 592704 85³ = 614125 86³ = 636056 87³ = 658503 88³ = 681472 89³ = 704969 90³ = 729000 91³ = 753571 92³ = 778688 93³ = 804357 94³ = 830584 95³ = 857375 96³ = 884736 97³ = 912673 98³ = 941192 99³ = 970299 100³ = 1000000 ● Các công cụ do cung cấp nhằm giúp mọi người đơn giản hóa công việc tính toán, cho ra kết quả nhanh chóng để tiết kiệm thời gian nhằm phục vụ các mục đích nghiên cứu trong học tập và làm việc. Với tượng học sinh, chúng tôi khuyến cáo không nên quá lạm dụng công cụ này. ● Trong quá trình tính toán người dùng cần chuyển về cùng một đơn vị để đảm bảo kết quả chính xác. ● Kết quả tính toán các công thức thời gian luôn là một số lớn hơn hoặc bằng 0. Đưa các số hạng dưới dấu căn ra ngoài, giả sử đó là các số thực. Khai căn bậc 3 online tại giúp các bạn tính toán nhanh kết quả căn bậc 3. Bảng tính căn bậc 3 trực tuyến giúp tính toán nhanh, dễ dàng và tự kiểm tra kết quả. Hãy Đưa Ra 1 Giá Trị Đồ Thị Và Công Thức \\\\sqrt[3]{x} = \sqrt[3]{x^1} = x^{\frac{1}{3}}\ \\sqrt[n]{x^m} = x^{\frac{m}{n}}\ \\sqrt[ = \sqrt[n]{x^m} = x^{\frac{m}{n}}\ \\sqrt[n]{ = \sqrt[n]{x}.\sqrt[n]{y}\ \\sqrt[n]{\frac{x}{y}} = \frac{\sqrt[n]{x}}{\sqrt[n]{y}}\ \\sqrt[n]{\sqrt[m]{x}} = \sqrt[m]{\sqrt[n]{x}} = \sqrt[ Trong toán học, căn bậc ba của một số x là một số a sao cho \a^3 = x\. \\sqrt[3]{x}.\sqrt[3]{x}.\sqrt[3]{x} = x\ Căn Bậc Ba Trong Tập Hợp Số Thực Trong tập hợp số thực Mỗi số thực a có duy nhất 1 căn bậc 3. Căn bậc ba của số thực dương là số thực dương. Căn bậc ba của số thực âm là số thực âm. \a < b ⇔ \sqrt[3]{a} < \sqrt[3]{b}\ \\sqrt[3]{ab} = \sqrt[3]{a}\sqrt[3]{b}\ \\sqrt[3]{\frac{a}{b}} = \frac{\sqrt[3]{a}}{\sqrt[3]{b}}, ∀b ≠ 0\ Căn Bậc Ba Trong Tập Số Phức Tất cả số thực trừ số không có chính xác một căn bậc ba số thực và một cặp căn bậc 3 số phức complex conjugate, và tất cả số phức trừ số 0 có 3 giá trị căn bậc ba phức. Các Ví Dụ Căn bậc 3 của số thực 8, biểu diễn \\sqrt[3]{8}\ hoặc \8^{\frac{1}{3}}\, là 2, vì \2^3 = 8\, trong khi đó các căn bậc 3 phức của 8 là \-1 + \sqrt{3}i\ và \-1 – \sqrt{3}i\. Ba giá trị căn bậc ba của −27i là 3i, \\frac{3\sqrt{3}}{2} – \frac{3}{2}i\, và \-\frac{3\sqrt{3}}{2} – \frac{3}{2}i\. Căn bậc ba của 0 là 0 vì \0^3 = 0\. Căn bậc ba của -125 là -5, vì \-5^3 = -125\. Phép Tính Liên Quan Khai Căn Bậc 2 Online Khai Căn Bậc 3 Online Khai Căn Bậc N Online Home News Image credit Activision Blizzard Diablo IV — IntroductionDiablo IV has arrived, eleven years after its predecessor. The game is in "early access" for the next few days, for people that are willing to fork over the extra money to buy the Deluxe or Ultimate editions. We got an Ultimate code for testing purposes, and the game unlocks at 4pm PDT on June 1. Once it's out, the benchmarking fun begins. How does it run, and what sort of hardware will you need? That's what we aim to find out. A lot has changed in the past decade, especially in the world of PC hardware. The fastest PC back in mid-2012 consisted of a shiny new Core i7-3770K, paired with a Radeon HD 7970 or GeForce GTX 680. Or maybe a Core i7-3960X if you were into HEDT setups, with a dual-GPU GeForce GTX 690 or Radeon HD 6990? Typical PCs would have 8GB of memory, while high-end systems might come with 16GB. Most people were still using hard drives rather than SSDs, typically of the 250GB to 500GB variety. But it's not just the hardware that's changed. We've gone from Windows 7 to Windows 8/ 10, and 11. Microtransactions were a relatively new thing back in 2012, buying digital cosmetics was scorned, and live service games weren't a thing. It's a brave new world for Diablo IV, in other Update6/5, 745am PDT We've basically finished testing all the GPUs now. I just added R9 270 results to the 720p/1080p Low chart. Anything that's missing should be reasonably close to one of the other GPUs that we've tested. If you have any specific requests for other GPUs, let us know in the tested a lot of graphics cards, 36 to be exact, spanning about a twelve year range. If you don't see your GPU tested and you'd like us to run some benchmarks, make a request in the article comments. We can't test everything, but come on This is Diablo! There are millions of people wanting to play the game, with everything from a maxed out extreme gaming PC down to a portable potato. We've tried to include at least one GPU from each generation going back to about 2015, with a few extras from even earlier generations. We've tested AMD, Nvidia, and Intel GPUs. We didn't have time for testing integrated graphics yet.Image credit Activision BlizzardDiablo IV — System RequirementsIntel Core i5-2500K or AMD FX-8350Nvidia GeForce GTX 660 or AMD Radeon R9 2808GB of system memorySSD with 90GB of available spaceWindows 10 64-bit version 1909 or laterDirectX 12Broadband internetBlizzard says a minimum spec PC will manage 30 fps with 720p, upscaled to 1080p, at low settings. We're... not going to test the minimum spec PC. At least not first. Mostly because we don't have most of those parts hanging around. We'll leave that as an exercise for the internet at large for now, so if you have such a system, sound off in our forums on how it runs! There are a few interesting pieces of information, though. For example, the CPUs are very old by today's standards, and the GPUs both stopped getting driver updates in the past year or two. Is Blizzard testing with the final AMD and Nvidia drivers? We don't know. Note that Nvidia has released security updates for some older GPUs like the GTX 660, with the last driver from March 2023, but the last "Game Ready" release was from September 2021. Also, the R9 280 was, literally, a rebadged Radeon HD 7950 Boost, which means technically you could go back a bit further on the GPU side of things. The DirectX 12 requirement is a bit interesting as well, as some of those older GPUs were potentially problematic. There's DX12 compatible, and then there's GPUs that actually work well with DX12. Cards with less than 4GB have always been a bit problematic with DX12 games in my experience. 8GB of system memory shouldn't be a problem for most people — Windows itself tends to want at least 8GB to run well, unless you're doing something like a Tiny 11 installation. Likewise, 90GB of free space isn't too bad these days when you can pick up a 2TB SSD for $75 that's for the Solidigm P41 Plus that we reviewed and found to be okay, given the capacity and price.Image credit Activision BlizzardRecommended Medium PC RequirementsIntel Core i5-4670K or AMD Ryzen 3 1300XNvidia GeForce GTX 970 or AMD Radeon RX 47016GB of system memoryStepping up to the recommended specs, you'll need a CPU from about 2014 or later on the Intel side, or a first generation quad-core Ryzen CPU from AMD. Either way, those are CPUs that don't have SMT / Hyper-Threading. And they're still enough for 60 fps at 1080p and medium settings. It seems like Diablo IV won't be too much of a resource pig, if these recommendations are anything to go by. Graphics card suggestions get a bump up to 4GB cards now, but the GTX 970 is still pretty ancient by today's standards, having launched in 2014. Then again, it's about as fast as a GTX 1650 from 2019, which isn't that old. Blizzard also bumps the RAM recommendation to 16GB, which is what we'd recommend for most people anyway. Windows just feels so much nicer on 16GB or more memory. The rest of the requirements remain unchanged, so we've dropped them from the list. High PC RequirementsIntel Core i7-8700K or AMD Ryzen 7 2700XNvidia GeForce RTX 2060 or AMD Radeon RX 5700 XT16GB of system memoryBlizzard's high recommended specs are for 1080p at high settings, still aiming for 60 fps. The components are now from about 2018 give or take. The CPUs are either a 6-core/12-thread Intel chip, or an 8-core/16-thread AMD chip, from several generations back. GPUs are also a couple of generations old, with the RTX 2060 and RX 5700 XT. If we were picking nits, we'd point out that, based on our GPU benchmarks hierarchy, for non-ray tracing games the RX 5700 XT ends up being about 30% faster than the RTX 2060. It also has 2GB more VRAM. Then again, Diablo IV has DLSS 3 support, which means it also supports DLSS 2 upscaling and that typically boosts RTX 2060 performance by 30%. But there's no indication of whether Blizzard is factoring in DLSS or not. Ultra 4K PC RequirementsIntel Core i7-8700K or AMD Ryzen 7 2700XNvidia GeForce RTX 3080 or AMD Radeon RX 6800 XT32GB of system memoryFinally, for 4K ultra at 60 fps, the only changes are that Blizzard recommends 32GB of system memory, and you'll need a beefier GPU RTX 3080 or RX 6800 XT. Those are at least roughly comparable, though it's worth mentioning that Diablo IV won't support ray tracing at launch — that will come later, according to Nvidia. In our rasterization test suite, the RTX 3080 ends up being 5% faster than the RX 6800 XT at 4K ultra. Once the game gets ray tracing support, that lead could grow to 50% or more, depending on how demanding the ray tracing is. Factor in DLSS upscaling we're not sure if Diablo IV supports FSR 2 yet and it could be an even bigger gap. But we'll see how the game runs soon enough.Image credit Activision BlizzardDiablo IV — Test SetupWe're using our standard 2023 GPU test PC, with a Core i9-13900K and all the other bells and whistles. We're planning on testing Diablo IV on a lot of graphics cards, but the boxout only shows relatively recent GPUs. We'll be testing at 1920x1080, 2560x1440, and 3840x2160. For low-end cards as in, old stuff like the GTX 660 or similar, we may also test at 720p and low settings. For the remaining cards, we'll test at 1080p with the medium and ultra presets, the ultra as well at 1440p and 4K. We'll also test with DLSS and FSR 2 as appropriate, depending on how things shake out. We'll start at the lower settings and work our way up, and once a GPU hits sub-30 fps performance, we'll stop and move on to the next card. As for how we test, we're running around the first major city, which so far seems to be one of the more demanding areas. Minimum fps can vary a fare amount between runs, but the average fps seems relatively consistent. There may be more demanding areas later in the game, but at some point we just need to start testing. It's worth pointing out that Diablo IV isn't a twitch game, at least not at the same level as a first-person shooter. It's relatively forgiving of lower fps, so 30 fps and above are playable. We've been testing on a 240 Hz 4K monitor Samsung Odyssey Neo G8 32-inch, and anything above 60 fps feels fine. Things are a bit smoother at 120 fps an higher, but it doesn't add too much to the IV Graphics Card PerformanceWe'll be updating these charts over the coming day days? If you still see this message, it means testing is ongoing. Our test consists of a ran around a section of Kyovashad, which so far is the most taxing section of the game we've encountered. Other areas might be more demanding, but we wanted to start testing rather than playing for a few days. Actually, we just wanted to keep playing, but duty called... these benchmarks aren't going to run themselves! We'll also add some images comparing the various settings at some point. The short summary, for now, is that the Low present looks pretty poor. Yes, it can run on a PC from 2013. It also looks a lot like a game from 2013, with low resolution textures that look very dull. Medium only looks a bit better, while the High and Ultra presets look pretty IV — 720p/1080p Low PerformanceImage credit Tom's HardwareAs you might expect, just about any GPU worth a dime can handle Diablo IV at 720p and Low settings the gold bars in the chart, and most will manage 1080p Low as well. AMD's RX 560 4GB and R9 270 2GB are at the bottom of the chart, followed by Nvidia's GTX 1050 2GB for 1080p performance. Cards with 2GB of VRAM can also experience some stuttering. The GTX 780 with 3GB of VRAM on the other hand does just fine at 1080p Low. Intel's A380 comes in just behind the GTX 780 at these settings, though it may do a bit better at higher settings since it has 6GB of VRAM. The RX 6500 XT with 4GB of memory also cruises past these settings. We don't have all of the super old GPUs available, so for example I found an R9 270 but couldn't find an R9 280. Diablo IV doesn't actually list the R9 270 as being supported, though based on other benchmarks it should actually be faster than a GTX 660, which does have support. I also don't have a GTX 660 around, but I did find a GTX 670, so that's what I used for testing. As another aside, AMD's R9 270 isn't supported properly by the most recent drivers, even though it should be; I had to use drivers and pass Diablo IV the "-bypassgpudrivercheck" option to get it to run. Either way, you'll want to stick with the recommended 720p Low on such hardware. It's worth noting that playing with a slow GPU and a slow CPU could result in quite a bit lower performance. We've been using a Core i9-13900K with our testing, to remove CPU bottlenecks as much as possible. Plenty of slower CPUs should still be able to get well over 100 fps, though, provided your GPU is IV — 1080p Medium PerformanceImage credit Tom's HardwareWe've tested a lot of high-end cards, though we didn't hit everything. You should be able to interpolate as needed. Rest assured the RTX 2080, GTX 1080 Ti, and plenty of other GPUs will do just fine at 1080p Medium in Diablo IV. In fact, many GPUs are overkill for this resolution. After seeing what some of the fastest GPUs could do, we opted to add in quite a few lower spec options to see how they fared. The RTX 4060 Ti for example breezes along, so you can safely assume other 40-series GPUs will do just fine. Everything from the GTX 780, RX 570 4GB, and Arc A380 and above can manage 60+ fps, with the 570 and above keeping 1% lows above that mark as well. If that's all you're hoping for — or all your monitor can handle, if you have a 60 Hz display — nearly every midrange or higher GPU from the past five or more years should be sufficient. Just watch out for things like the GTX 1050, as its 2GB VRAM can be a IV — 1080p Ultra PerformanceImage credit Tom's HardwareBumping up to the Ultra preset, cards with less than 6GB can start to struggle, even at 1080p. The Arc A380 also falls close to 30 fps at times, but not for a lack of VRAM — raw compute still matters as well. The RX Vega 56 and above are still able to provided a smooth 60+ fps, and RX 590 just about gets there, so there are plenty of options out there if you game at 1080p. It's interesting to note that the GTX 1660 Super is basically as fast as the RTX 3050. That's without DLSS enabled, naturally. The GTX 1060 6GB and GTX 970 can still easily break 30 fps, but cards with 3GB VRAM like the GTX 780 start to get choppy at times, as evidenced by the 20 fps 1% low IV — 1440p Ultra PerformanceImage credit Tom's HardwareSome of the GPUs start to really struggle at 1440p Ultra. We've included a few upscaling results for the slower GPUs using Quality mode on the green bars. But there are plenty of cards still doing well. The GTX 1660 Super comes up just shy of 60 fps, while RTX 3050 and up can still break 60 fps — perhaps with a bit of sluggishness now and then, depending on the area. Again, DLSS would help quite a bit. We're testing in Kyovashad, as that seemed to be more of a stress test than the surrounding areas. YMMV. RX 7600 and up easily clear 60 fps, and the RTX 4060 Ti averages 120 fps, so 8GB of VRAM isn't an issue in Diablo IV. Intel's Arc A750 and A770 Limited Edition also handle 1440p Ultra without IV — 4K Ultra PerformanceImage credit Tom's Hardware4K Ultra still ends up being fairly demanding, with the RTX 4060 Ti averaging just over 60 fps, but with 1% lows of 48 fps. The other RTX 40-series cards do fine, and we'll see below that DLSS, FSR 2, and XeSS can help more GPUs remain playable even at the current maximum quality settings. Of the GPUs we've tested, RTX 4070 and above are all staying above 60 fps and provide a great experience in Diablo IV. And if you have an RTX 4090 or 4080, congratulations Your GPU is plenty fast! Note that ray tracing is planned for a future update. Whether or not it will make a big difference in visual quality remains to be seen, and we'll have to see what sort of performance impact it creates. Lesser GPUs might want to use upscaling with ray tracing to get good performance at 1440. If all you want is 30 fps, even the GTX 1660 Super and above can suffice. The GTX 1060 6GB does come up short, sadly. Still, it doesn't do too bad for a midrange GPU from seven years ago. Curiously, the RX Vega 56 also didn't do that well, falling to 28 fps — normally, it should match the GTX 1070, which is significantly faster than the GTX 1060 6GB. It's not exactly clear what's holding AMD's older GPUs back, but certainly architectural advances play a role at IV — 4K Upscaled PerformanceImage credit Tom's HardwareWrapping things up, we have 4K with DLSS 2 / FSR / XeSS Quality mode upscaling — and Diablo IV won't let you pick and choose, so RTX cards have to use DLSS, Arc cards have to use XeSS, and everything else can use FSR Upscaling gets all the RTX cards in the chart above 30 fps, but the GTX 1060 still doesn't break 30 fps. It would need a higher level of FSR 2 upscaling to get there, but the GTX 1070 and above should still do fine. Note that the 4K upscaling and 4K native charts look mostly the same, meaning all of the GPUs see similar gains from upscaling. There are a few exceptions, however, like the Arc A760 — the A770 16GB benefits far more from XeSS, probably thanks to its additional memory. One cool thing is that if you have an RTX 4090 and a 4K 240 Hz monitor, you can actually make decent use of the display! Playing Diablo IV that way is quite nice, though I'm not sure it's that much better than on a 4K 120 Hz display. Incidentally, DLSS 3 Frame Generation doesn't seem to be working right. Or maybe there's some special combination of steps to make it run better? Anyway, the RTX 4090 ended up getting 240 fps with upscaling and Frame Generation enabled, though the 1% lows were higher at around 190 fps. Other 40-series GPUs showed similar behavior, with improved minimum fps but reduced average fps. Latency logging via FrameView was also not working, but it's safe to assume that Frame Generation adds latency as well. As a potentially better alternative for those with high-end Nvidia GPUs, turning on DLAA instead of DLSS is worth considering. You get the anti-aliasing and sharpening of DLSS, but without upscaling, giving the best overall image quality. And with FrameGen on an RTX 4090, 4K Ultra with DLAA still got over 200 fps.Image credit Activision BlizzardDiablo IV — Settings and Image QualityDiablo IV offers a variety of settings to tweak, along with the usual four presets Low, Medium, High, and Ultra. Besides the presets, there are about twenty other settings you can tune depending on what you want to include. There is a framerate cap, which defaults to 150, but you can set it as high as 400 — sorry, 480 Hz display owners! Diablo IV supports DLSS 3, which means it has support for Nvidia upscaling, Frame Generation, and Reflex. For AMD and non-RTX Nvidia cards, you can use FSR upscaling. Finally, XeSS is supported on Intel Arc GPUs. All of the upscaling solutions looked okay to us at the Quality mode Ultra Image credit Activision BlizzardWe'll add more detail in the future, but here's a quick look at the four presets. While Ultra and High look pretty similar, you can still see a slight reduction in texture quality as well as less detail on some of the environment like the plant toward the bottom left. Dropping from High to Medium brings a further reduction in texture quality and overall image fidelity, while the Low preset looks pretty bad. The road loses almost all of its detail. You can still play Diablo IV even at minimum quality and enjoy the game, but some of the pyrotechnics and other visual effects get lost.Image credit Activision BlizzardDiablo IV — Early ThoughtsWe haven't played through a lot of Diablo IV yet, but so far the city of Kyovashad has been more taxing than anything we've seen running around the first few areas. Most of the GPUs were easily pulling 60 fps or more. Granted, we're using a fast CPU, but this isn't a super taxing game by modern standards. That's why we opted to run some of the slower GPUs through our testing first. As far as the game itself, it's Diablo, with some modernized options. PC Gamer's Diablo IV review-in-progress seems underwhelmed with the live service nature and "just wait for the end game" design philosophy. It hasn't scored the game yet, opting to wait for the retail launch. At the other end of the spectrum, GamesRadar+ gave Diablo IV an editor's choice 5-star review and calls it "a magnificent and absurd loot theme park," though it reviewed the Xbox Series X version. Overall, the current Metacritic score of 88 for the PC version looks quite favorable. Performance and system requirements are mostly a non-issue, unless you haven't upgraded your PC or graphics card in over a decade. High-end gaming PCs won't have any issues running Diablo IV at maxed out settings... for now. We'll have to see how things change when the ray tracing update comes out, and hopefully it will prove some wonderfully enhanced visuals rather than just slightly nicer shadows. We're going to call a stop to testing now and take a break for the weekend. There should be enough data to extrapolate where any of the GPUs we've skipped would land. Basically, any RTX card can do 4K with upscaling at reasonable levels of performance, and the faster cards can easily get into the triple digits. But if you really want your particular GPU tested, write a note in the comments. Join the experts who read Tom's Hardware for the inside track on enthusiast PC tech news — and have for over 25 years. We'll send breaking news and in-depth reviews of CPUs, GPUs, AI, maker hardware and more straight to your inbox. Jarred Walton is a senior editor at Tom's Hardware focusing on everything GPU. He has been working as a tech journalist since 2004, writing for AnandTech, Maximum PC, and PC Gamer. From the first S3 Virge '3D decelerators' to today's GPUs, Jarred keeps up with all the latest graphics trends and is the one to ask about game performance. Most Popular

căn bậc 3 của 9