1. |
info: 2025-04-26 02:34:32.926 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
13ms [Parameters=[@p7='923398e3-f8e3-41e4-8c43-b8fe7c376574', @p0='True', @p1='False', @p2='0', @p3='ade00f05-aabc-4d9d-97c3-6ab670d6672f', @p4='49.jpg' (Size = 100), @p5='https://knowledgenest.blob.core.windows.net/scanners/0/[Matematika][Horizontai Matematika 7 klasė][Vadovėlis 1 dalis]/pages/49.jpg' (Size = 1000), @p6='# Skaitinių nelygybių savybės
Dvi draugės, gyvenančios Vilniuje ir Stokholme, pokalbio telefonu metu aptarė oro temperatūrą. Vilniuje tądien buvo šilčiau negu Stokholme. Draugės susimąstė, ar rytoj Vilniuje taip pat bus šilčiau, jei temperatūra abiejuose miestuose pakils dviem laipsniais, nukris dviem laipsniais.
## Kokiomis savybėmis pasižymi skaitinės nelygybės?
Mokytojas paprašė Jono ir Marijos sugalvoti po vieną skaičių. Klasės mokiniams buvo žinoma, kad Marijos sugalvotas skaičius yra didesnis už Jono sugalvotąjį. Mokytojas pasiūlė mokiniams pasvarstyti, kas nutiktų, jei Marija ir Jonas palygintų savo sugalvotų skaičių priešinguosius arba atvirkštinius skaičius; prie savo sugalvotų skaičių pridėtų po 2, atimtų po 2; sugalvotus skaičius padaugintų iš 2, iš -2; padalytų iš 2, iš -2. Ar vaikams atlikus šiuos veiksmus vis dar būtų galima teigti, kad Marijos skaičius didesnis? Pasitarę poromis pasvarstykite ir jūs, kaip atsakytumėte į pateiktą klausimą.
Apibendrindamas diskusiją, mokytojas skaičių tiesėje pažymėjo Jono ir Marijos sugalvotus skaičius -12 ir 6 ir juos palygino.
**Skaitinė nelygybė** – užrašas, kuriame tarp skaičių yra ženklas > arba <.
Pavyzdžiui: -12 < 6
Skaičius *a* yra **didesnis** už skaičių *b*, jei skirtumas (*a* - *b*) yra **teigiamas**. Skaičius *a* yra **mažesnis** už skaičių *b*, jei skirtumas (*a* - *b*) yra **neigiamas**.
Ženklas > skaitomas: daugiau,
ženklas < skaitomas: mažiau.
' (Size = 4000)], CommandType='Text', CommandTimeout='30']
SET IMPLICIT_TRANSACTIONS OFF;
SET NOCOUNT ON;
UPDATE [ScannerPages] SET [Active] = @p0, [Deleted] = @p1, [Position] = @p2, [ScannerId] = @p3, [StorageMediaName] = @p4, [StorageMediaUrl] = @p5, [Text] = @p6
OUTPUT 1
WHERE [Id] = @p7;
|
2. |
info: 2025-04-26 02:34:33.311 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
9ms [Parameters=[@__id_0='bb64fe9c-5c09-7857-0ea1-d62394f3ecae', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c].[Id], [c].[Active], [c].[Deleted], [c].[Description], [c].[DescriptionBackup], [c].[Left], [c].[ParentId], [c].[Position], [c].[ProcessorGenerateImagePrompt], [c].[Right], [c].[SiteId], [c].[StorageMediaName], [c].[StorageMediaUrl], [c].[Title], [c].[TitleBackup], [c].[TitleSlug], [c].[TotalChildren], [c].[TotalScanners], [c].[TotalYoutubeVideos]
FROM [Categories] AS [c] WITH (NOLOCK)
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id]
|
3. |
info: 2025-04-26 02:34:33.321 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
10ms [Parameters=[@__id_0='bb64fe9c-5c09-7857-0ea1-d62394f3ecae', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c4].[Id], [c4].[Active], [c4].[Deleted], [c4].[Description], [c4].[DescriptionBackup], [c4].[Left], [c4].[ParentId], [c4].[Position], [c4].[ProcessorGenerateImagePrompt], [c4].[Right], [c4].[SiteId], [c4].[StorageMediaName], [c4].[StorageMediaUrl], [c4].[Title], [c4].[TitleBackup], [c4].[TitleSlug], [c4].[TotalChildren], [c4].[TotalScanners], [c4].[TotalYoutubeVideos], [c].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[Active], [c0].[Deleted], [c0].[Description], [c0].[DescriptionBackup], [c0].[Left], [c0].[ParentId], [c0].[Position], [c0].[ProcessorGenerateImagePrompt], [c0].[Right], [c0].[SiteId], [c0].[StorageMediaName], [c0].[StorageMediaUrl], [c0].[Title], [c0].[TitleBackup], [c0].[TitleSlug], [c0].[TotalChildren], [c0].[TotalScanners], [c0].[TotalYoutubeVideos]
FROM [Categories] AS [c0] WITH (NOLOCK)
WHERE [c0].[Active] = CAST(1 AS bit) AND [c0].[Deleted] = CAST(0 AS bit)
) AS [c4] ON [c].[Id] = [c4].[ParentId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [c4].[Position], [c4].[Id]
|
4. |
info: 2025-04-26 02:34:33.389 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
10ms [Parameters=[@p7='86683f0a-5c1b-4704-8048-b9024c132a66', @p0='True', @p1='False', @p2='2', @p3='9450c325-4113-469e-bb55-361f6a2b9770', @p4='35.jpg' (Size = 100), @p5='https://knowledgenest.blob.core.windows.net/scanners/0/[Matematika][Horizontai Matematika 5 klasė][Vadovėlis 1 dalis]/pages/35.jpg' (Size = 1000), @p6='""
# Perskaitykite taisyklingai pavadindami skaitmenimis minimas datas:
a) Kernavė pirmą kartą minima XIII amžiuje Livonijos kronikose.
b) Pirmoji lietuviška knyga buvo išleista XVI amžiuje.
c) MDCCCLX metais į Vilnių atvažiavo pirmasis traukinys.
d) MMX metais Lietuvoje pradėta prekiauti elektromobiliais.
# Parašykite skaičius romėniškaisiais skaitmenimis:
a) 22; b) 29; c) 43; d) 56; e) 101; f) 440; g) 1909.
# Parašykite skaičius arabiškaisiais skaitmenimis:
a) XXI; b) XLII; c) LXVI; d) MCL; e) MCDL; f) MCMLXXXVII.
# Parašykite gretimus skaičius romėniškaisiais skaitmenimis:
a) ___, XXX, ___ ;
b) ___, XL, ___ ;
c) ___, DC, ___ .
# Agnė per gimtadienį gavo dovanų odinę apyrankę su trimis kubeliais, ant kurių išgraviruoti šie ženklai: MMX, VI, XII. Ką jie galėtų reikšti?
# Palyginkime
Seniausia ir pati didžiausia biblioteka Lietuvoje - Vilniaus universiteto biblioteka. Ji įkurta 1570 metais. Parašykite Vilniaus universiteto bibliotekos įkūrimo datą romėniškaisiais skaitmenimis.
Raskite informacijos apie 2-3 Lietuvos kaimyninių valstybių universitetų bibliotekas. Pasirinktų bibliotekų įkūrimo datas parašykite romėniškaisiais skaitmenimis.
Palyginkite bibliotekų įkūrimo datas ir surašykite bibliotekas iš eilės. Pradėkite nuo įkurtos seniausiai.
# Perkelkite vieną pagaliuką taip, kad klaidinga lygybė taptų teisinga:
a) V+III=I
b) X-VI=VI
c) sukurkite užduotį, kurioje reikėtų perkelti du pagaliukus.
""' (Size = 4000)], CommandType='Text', CommandTimeout='30']
SET IMPLICIT_TRANSACTIONS OFF;
SET NOCOUNT ON;
UPDATE [ScannerPages] SET [Active] = @p0, [Deleted] = @p1, [Position] = @p2, [ScannerId] = @p3, [StorageMediaName] = @p4, [StorageMediaUrl] = @p5, [Text] = @p6
OUTPUT 1
WHERE [Id] = @p7;
|
5. |
info: 2025-04-26 02:34:33.399 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
58ms [Parameters=[@__id_0='bb64fe9c-5c09-7857-0ea1-d62394f3ecae', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s5].[Active], [s5].[CheatSheet], [s5].[CheatSheet2], [s5].[Deleted], [s5].[FactErrors], [s5].[FactErrorsExplanation], [s5].[ParentCategory2Id], [s5].[ParentCategoryId], [s5].[ProcessorGenerateImagePrompt], [s5].[Prompt], [s5].[Reference], [s5].[ReferenceSlug], [s5].[SiteId], [s5].[SpellingErrors], [s5].[SpellingErrorsExplanation], [s5].[Summary], [s5].[Title], [s5].[TitleBackup], [s5].[TitleSlug], [s5].[TotalCards], [s5].[TotalCards2], [s5].[TotalCategories], [s5].[TotalPages], [s5].[Verified], [c].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id], [s1].[Active], [s1].[CheatSheet], [s1].[CheatSheet2], [s1].[Deleted], [s1].[FactErrors], [s1].[FactErrorsExplanation], [s1].[ParentCategory2Id], [s1].[ParentCategoryId], [s1].[ProcessorGenerateImagePrompt], [s1].[Prompt], [s1].[Reference], [s1].[ReferenceSlug], [s1].[SiteId], [s1].[SpellingErrors], [s1].[SpellingErrorsExplanation], [s1].[Summary], [s1].[Title], [s1].[TitleBackup], [s1].[TitleSlug], [s1].[TotalCards], [s1].[TotalCards2], [s1].[TotalCategories], [s1].[TotalPages], [s1].[Verified]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId]
|
6. |
info: 2025-04-26 02:34:33.445 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
39ms [Parameters=[@__id_0='bb64fe9c-5c09-7857-0ea1-d62394f3ecae', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s6].[Id], [s6].[Active], [s6].[Context], [s6].[ContextBackup], [s6].[ContextStorageMediaName], [s6].[ContextStorageMediaUrl], [s6].[Deleted], [s6].[FactErrors], [s6].[FactErrorsExplanation], [s6].[Facts], [s6].[FactsBackup], [s6].[FactsStorageMediaName], [s6].[FactsStorageMediaUrl], [s6].[Position], [s6].[ProcessorGenerateImagePrompt], [s6].[Prompt], [s6].[ScannerId], [s6].[SpellingErrors], [s6].[SpellingErrorsExplanation], [s6].[StorageMediaName], [s6].[StorageMediaUrl], [s6].[Summary], [s6].[SummaryBackup], [s6].[SummaryStorageMediaName], [s6].[SummaryStorageMediaUrl], [s6].[Title], [s6].[TitleSlug], [s6].[TotalFillTheBlankSelectionQuestions], [s6].[TotalMultipleSelectionQuestions], [s6].[TotalOrderingQuestions], [s6].[TotalQuestionPoints], [s6].[TotalQuestions], [s6].[TotalShortAnswerQuestions], [s6].[TotalSingleSelectionQuestions], [s6].[TotalSources], [s6].[TotalTrueFalseQuestions], [s6].[Verified], [s6].[Version], [c].[Id], [s5].[ScannerId], [s5].[CategoryId], [s5].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
INNER JOIN (
SELECT [s2].[Id], [s2].[Active], [s2].[Context], [s2].[ContextBackup], [s2].[ContextStorageMediaName], [s2].[ContextStorageMediaUrl], [s2].[Deleted], [s2].[FactErrors], [s2].[FactErrorsExplanation], [s2].[Facts], [s2].[FactsBackup], [s2].[FactsStorageMediaName], [s2].[FactsStorageMediaUrl], [s2].[Position], [s2].[ProcessorGenerateImagePrompt], [s2].[Prompt], [s2].[ScannerId], [s2].[SpellingErrors], [s2].[SpellingErrorsExplanation], [s2].[StorageMediaName], [s2].[StorageMediaUrl], [s2].[Summary], [s2].[SummaryBackup], [s2].[SummaryStorageMediaName], [s2].[SummaryStorageMediaUrl], [s2].[Title], [s2].[TitleSlug], [s2].[TotalFillTheBlankSelectionQuestions], [s2].[TotalMultipleSelectionQuestions], [s2].[TotalOrderingQuestions], [s2].[TotalQuestionPoints], [s2].[TotalQuestions], [s2].[TotalShortAnswerQuestions], [s2].[TotalSingleSelectionQuestions], [s2].[TotalSources], [s2].[TotalTrueFalseQuestions], [s2].[Verified], [s2].[Version]
FROM [ScannerCards] AS [s2]
WHERE [s2].[Active] = CAST(1 AS bit) AND [s2].[Deleted] = CAST(0 AS bit)
) AS [s6] ON [s5].[Id] = [s6].[ScannerId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId], [s6].[TitleSlug], [s6].[Id]
|
7. |
info: 2025-04-26 02:34:33.448 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='bb64fe9c-5c09-7857-0ea1-d62394f3ecae', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [q0].[Id], [q0].[Active], [q0].[Created], [q0].[Deleted], [q0].[Points], [q0].[ProcessorGenerateImagePrompt], [q0].[ScannerCardId], [q0].[StorageMediaName], [q0].[StorageMediaUrl], [q0].[Title], [q0].[TotalAnswers], [q0].[Type], [c].[Id], [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s6].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
INNER JOIN (
SELECT [s2].[Id], [s2].[ScannerId], [s2].[TitleSlug]
FROM [ScannerCards] AS [s2]
WHERE [s2].[Active] = CAST(1 AS bit) AND [s2].[Deleted] = CAST(0 AS bit)
) AS [s6] ON [s5].[Id] = [s6].[ScannerId]
INNER JOIN (
SELECT [q].[Id], [q].[Active], [q].[Created], [q].[Deleted], [q].[Points], [q].[ProcessorGenerateImagePrompt], [q].[ScannerCardId], [q].[StorageMediaName], [q].[StorageMediaUrl], [q].[Title], [q].[TotalAnswers], [q].[Type]
FROM [Questions] AS [q]
WHERE [q].[Active] = CAST(1 AS bit) AND [q].[Deleted] = CAST(0 AS bit)
) AS [q0] ON [s6].[Id] = [q0].[ScannerCardId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId], [s6].[TitleSlug], [s6].[Id], [q0].[Id]
|
8. |
info: 2025-04-26 02:34:33.465 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
17ms [Parameters=[@__id_0='bb64fe9c-5c09-7857-0ea1-d62394f3ecae', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s7].[TagId], [s7].[ScannerCardId], [s7].[Id], [s7].[Active], [s7].[Created], [s7].[Deleted], [s7].[Description], [s7].[Links], [s7].[MediaSourceCopyright], [s7].[MediaSourceUrl], [s7].[ShortDescription], [s7].[SiteId], [s7].[StorageMediaName], [s7].[StorageMediaUrl], [s7].[Title], [s7].[TitleSlug], [s7].[Url], [s7].[Wikipedia], [s7].[WikipediaPageId], [s7].[WikipediaUpdated], [c].[Id], [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s6].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
INNER JOIN (
SELECT [s2].[Id], [s2].[ScannerId], [s2].[TitleSlug]
FROM [ScannerCards] AS [s2]
WHERE [s2].[Active] = CAST(1 AS bit) AND [s2].[Deleted] = CAST(0 AS bit)
) AS [s6] ON [s5].[Id] = [s6].[ScannerId]
INNER JOIN (
SELECT [t].[TagId], [t].[ScannerCardId], [t0].[Id], [t0].[Active], [t0].[Created], [t0].[Deleted], [t0].[Description], [t0].[Links], [t0].[MediaSourceCopyright], [t0].[MediaSourceUrl], [t0].[ShortDescription], [t0].[SiteId], [t0].[StorageMediaName], [t0].[StorageMediaUrl], [t0].[Title], [t0].[TitleSlug], [t0].[Url], [t0].[Wikipedia], [t0].[WikipediaPageId], [t0].[WikipediaUpdated]
FROM [TagScannerCards] AS [t]
INNER JOIN [Tags] AS [t0] ON [t].[TagId] = [t0].[Id]
WHERE [t0].[Active] = CAST(1 AS bit) AND [t0].[Deleted] = CAST(0 AS bit)
) AS [s7] ON [s6].[Id] = [s7].[ScannerCardId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId], [s6].[TitleSlug], [s6].[Id], [s7].[TitleSlug]
|
9. |
info: 2025-04-26 02:34:34.382 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
21ms [Parameters=[@__site_Id_0='63d6eb4e-8e39-4ac6-8f69-55ee76feccce', @__item_Left_1='14056', @__item_Right_2='14057'], CommandType='Text', CommandTimeout='30']
SELECT [c].[Id], [c].[Active], [c].[Deleted], [c].[Description], [c].[DescriptionBackup], [c].[Left], [c].[ParentId], [c].[Position], [c].[ProcessorGenerateImagePrompt], [c].[Right], [c].[SiteId], [c].[StorageMediaName], [c].[StorageMediaUrl], [c].[Title], [c].[TitleBackup], [c].[TitleSlug], [c].[TotalChildren], [c].[TotalScanners], [c].[TotalYoutubeVideos]
FROM [Categories] AS [c] WITH (NOLOCK)
WHERE [c].[SiteId] = @__site_Id_0 AND [c].[Left] <= @__item_Left_1 AND [c].[Right] >= @__item_Right_2 AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Left]
|
179 ms |