1. |
info: 2025-04-26 00:57:22.451 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
8ms [Parameters=[@p7='82604c17-f0f0-461c-9dda-ca15ff0551f8', @p0='True', @p1='False', @p2='3', @p3='9223cd1f-5f71-459b-9bc5-2b2e55acf095', @p4='87.jpg' (Size = 100), @p5='https://knowledgenest.blob.core.windows.net/scanners/0/[Matematika][Horizontai Matematika 10 klasė][Vadovėlis 2 dalis]/pages/87.jpg' (Size = 1000), @p6='1. Remdamiesi brėžinio duomenimis, apskaičiuokite x reikšmę dešimtųjų tikslumu.
2. Trikampio kraštinių ilgiai yra 18 cm, 21 cm ir 20 cm. Apskaičiuokite šio trikampio mažiausio kampo dydį 1° tikslumu.
**Teiginys**
Lygiagretainio įstrižainių ilgių kvadratų suma lygi visų lygiagretainio kraštinių ilgių kvadratų sumai:
AC² + BD² = 2AB² + 2AD².
Duota: lygiagretainis ABCD.
Įrodyti: AC² + BD² = 2AB² + 2AD².
**Įrodymas**
1. Pažymime: AB = CD = a, AD = BC = b, ∠BAD = α.
Tada ∠ABC = 180° – α.
2. Kosinusų teoremą taikome trikampiui ABD:
BD² = AB² + AD² - 2 · AB · AD · cos ∠BAD,
BD² = a² + b² - 2ab · cos α.
3. Kosinusų teoremą taikome trikampiui ABC:
AC² = AB² + BC² – 2 · AB · BC · cos ∠ABC,
AC² = a² + b² – 2ab · cos (180° – α).
Pritaikę formulę cos (180° – α) = -cos α, gauname:
AC² = a² + b² - 2ab · (-cos α),
AC² = a² + b² + 2ab · cos α.
4. Sudedame gautas lygybes:
AC² + BD² = (a² + b² + 2ab · cos α) + (a² + b² - 2ab · cos α),
AC² + BD² = a² + b² + 2ab · cos α + a² + b² - 2ab · cos α,
AC² + BD² = 2a² + 2b²,
AC² + BD² = 2AB² + 2AD². *(Kadangi AD = BC)*
Įrodyta.' (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 00:57:23.873 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
58ms [Parameters=[@p7='8fae4076-301f-467c-bddf-ca0b19fd662b', @p0='True', @p1='False', @p2='2', @p3='a6563d44-087e-4e86-aff3-f5e2c82a9b13', @p4='112.jpg' (Size = 100), @p5='https://knowledgenest.blob.core.windows.net/scanners/0/[Informatika][Informacinės technologijos 11–12 klasės][Vadovėlis (bendrasis kursas) -- 51]/pages/112.jpg' (Size = 1000), @p6='""
# Pasirengimas pranešimui su pateikties demonstravimu
## Užduotis
Peržiūrėkite pateiktį, pasirinkę skaidrių rūšiuotuvo peržiūros rodinį (2.76 pav.). Matydami bendrą pateikties vaizdą ir skaitydami tik skaidrių pavadinimus, įsitikinkite, kad pateikties logika aiški. Jei į akis krenta ne vietoje atsidūrusios skaidrės, galbūt jas reikia sukeisti vietomis ar pašalinti, papildyti pateiktį naujomis skaidrėmis, kad išryškėtų loginis ryšys. Pavyzdžiui, pereinant prie naujos pranešimo dalies, praverčia speciali skaidrė, kurios maketas „Sekcijos antraštė“.
Viską sutvarkę, parenkite savo pateiktį demonstravimui pranešimo metu – parinkite skaidrių keitimo efektus, kitus parametrus.
Beliko pasirengti pranešimui. Prisiminkite planavimo procesą, dar kartą peržvelkite minčių žemėlapį (1 skyrelis). Pranešimo tekstą patartina parengti rašykle arba parašyti skaidrėse, pastabų puslapiuose. Perskaitykite 113, 114 puslapiuose surašytus „Gero pranešimo receptus“, pasistenkite juos pritaikyti. Jums tikrai pavyks sklandžiai ir įtikinamai pristatyti savo pranešimą ir sulaukti auditorijos dėmesio, o prireikus – pranešimą patobulinti.
""' (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;
|
3. |
info: 2025-04-26 00:57:25.441 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
8ms [Parameters=[@__id_0='e763d2d0-81ed-c1fd-bf61-e6c112d72bad', @__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]
|
4. |
info: 2025-04-26 00:57:25.450 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
9ms [Parameters=[@__id_0='e763d2d0-81ed-c1fd-bf61-e6c112d72bad', @__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]
|
5. |
info: 2025-04-26 00:57:25.460 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
9ms [Parameters=[@__id_0='e763d2d0-81ed-c1fd-bf61-e6c112d72bad', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c5].[Id], [c5].[Active], [c5].[Deleted], [c5].[Description], [c5].[DescriptionBackup], [c5].[Left], [c5].[ParentId], [c5].[Position], [c5].[ProcessorGenerateImagePrompt], [c5].[Right], [c5].[SiteId], [c5].[StorageMediaName], [c5].[StorageMediaUrl], [c5].[Title], [c5].[TitleBackup], [c5].[TitleSlug], [c5].[TotalChildren], [c5].[TotalScanners], [c5].[TotalYoutubeVideos], [c].[Id], [c4].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[ParentId], [c0].[Position]
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]
INNER JOIN (
SELECT [c1].[Id], [c1].[Active], [c1].[Deleted], [c1].[Description], [c1].[DescriptionBackup], [c1].[Left], [c1].[ParentId], [c1].[Position], [c1].[ProcessorGenerateImagePrompt], [c1].[Right], [c1].[SiteId], [c1].[StorageMediaName], [c1].[StorageMediaUrl], [c1].[Title], [c1].[TitleBackup], [c1].[TitleSlug], [c1].[TotalChildren], [c1].[TotalScanners], [c1].[TotalYoutubeVideos]
FROM [Categories] AS [c1] WITH (NOLOCK)
WHERE [c1].[Active] = CAST(1 AS bit) AND [c1].[Deleted] = CAST(0 AS bit)
) AS [c5] ON [c4].[Id] = [c5].[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], [c5].[Position]
|
6. |
info: 2025-04-26 00:57:25.462 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
1ms [Parameters=[@__id_0='e763d2d0-81ed-c1fd-bf61-e6c112d72bad', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s3].[ScannerId], [s3].[CategoryId], [s3].[Id], [s3].[Active], [s3].[CheatSheet], [s3].[CheatSheet2], [s3].[Deleted], [s3].[FactErrors], [s3].[FactErrorsExplanation], [s3].[ParentCategory2Id], [s3].[ParentCategoryId], [s3].[ProcessorGenerateImagePrompt], [s3].[Prompt], [s3].[Reference], [s3].[ReferenceSlug], [s3].[SiteId], [s3].[SpellingErrors], [s3].[SpellingErrorsExplanation], [s3].[Summary], [s3].[Title], [s3].[TitleBackup], [s3].[TitleSlug], [s3].[TotalCards], [s3].[TotalCards2], [s3].[TotalCategories], [s3].[TotalPages], [s3].[Verified], [c].[Id], [c4].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[ParentId], [c0].[Position]
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]
INNER JOIN (
SELECT [c2].[ScannerId], [c2].[CategoryId], [s].[Id], [s].[Active], [s].[CheatSheet], [s].[CheatSheet2], [s].[Deleted], [s].[FactErrors], [s].[FactErrorsExplanation], [s].[ParentCategory2Id], [s].[ParentCategoryId], [s].[ProcessorGenerateImagePrompt], [s].[Prompt], [s].[Reference], [s].[ReferenceSlug], [s].[SiteId], [s].[SpellingErrors], [s].[SpellingErrorsExplanation], [s].[Summary], [s].[Title], [s].[TitleBackup], [s].[TitleSlug], [s].[TotalCards], [s].[TotalCards2], [s].[TotalCategories], [s].[TotalPages], [s].[Verified]
FROM [CategoryScanners] AS [c2]
INNER JOIN [Scanners] AS [s] ON [c2].[ScannerId] = [s].[Id]
WHERE [s].[Active] = CAST(1 AS bit) AND [s].[Deleted] = CAST(0 AS bit)
) AS [s3] ON [c4].[Id] = [s3].[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], [c4].[Position], [c4].[Id], [s3].[Id], [s3].[ScannerId], [s3].[CategoryId]
|
7. |
info: 2025-04-26 00:57:25.539 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
10ms [Parameters=[@__id_0='e763d2d0-81ed-c1fd-bf61-e6c112d72bad', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s4].[Id], [s4].[Active], [s4].[Context], [s4].[ContextBackup], [s4].[ContextStorageMediaName], [s4].[ContextStorageMediaUrl], [s4].[Deleted], [s4].[FactErrors], [s4].[FactErrorsExplanation], [s4].[Facts], [s4].[FactsBackup], [s4].[FactsStorageMediaName], [s4].[FactsStorageMediaUrl], [s4].[Position], [s4].[ProcessorGenerateImagePrompt], [s4].[Prompt], [s4].[ScannerId], [s4].[SpellingErrors], [s4].[SpellingErrorsExplanation], [s4].[StorageMediaName], [s4].[StorageMediaUrl], [s4].[Summary], [s4].[SummaryBackup], [s4].[SummaryStorageMediaName], [s4].[SummaryStorageMediaUrl], [s4].[Title], [s4].[TitleSlug], [s4].[TotalFillTheBlankSelectionQuestions], [s4].[TotalMultipleSelectionQuestions], [s4].[TotalOrderingQuestions], [s4].[TotalQuestionPoints], [s4].[TotalQuestions], [s4].[TotalShortAnswerQuestions], [s4].[TotalSingleSelectionQuestions], [s4].[TotalSources], [s4].[TotalTrueFalseQuestions], [s4].[Verified], [s4].[Version], [c].[Id], [c4].[Id], [s3].[ScannerId], [s3].[CategoryId], [s3].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[ParentId], [c0].[Position]
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]
INNER JOIN (
SELECT [c2].[ScannerId], [c2].[CategoryId], [s].[Id]
FROM [CategoryScanners] AS [c2]
INNER JOIN [Scanners] AS [s] ON [c2].[ScannerId] = [s].[Id]
WHERE [s].[Active] = CAST(1 AS bit) AND [s].[Deleted] = CAST(0 AS bit)
) AS [s3] ON [c4].[Id] = [s3].[CategoryId]
INNER JOIN (
SELECT [s0].[Id], [s0].[Active], [s0].[Context], [s0].[ContextBackup], [s0].[ContextStorageMediaName], [s0].[ContextStorageMediaUrl], [s0].[Deleted], [s0].[FactErrors], [s0].[FactErrorsExplanation], [s0].[Facts], [s0].[FactsBackup], [s0].[FactsStorageMediaName], [s0].[FactsStorageMediaUrl], [s0].[Position], [s0].[ProcessorGenerateImagePrompt], [s0].[Prompt], [s0].[ScannerId], [s0].[SpellingErrors], [s0].[SpellingErrorsExplanation], [s0].[StorageMediaName], [s0].[StorageMediaUrl], [s0].[Summary], [s0].[SummaryBackup], [s0].[SummaryStorageMediaName], [s0].[SummaryStorageMediaUrl], [s0].[Title], [s0].[TitleSlug], [s0].[TotalFillTheBlankSelectionQuestions], [s0].[TotalMultipleSelectionQuestions], [s0].[TotalOrderingQuestions], [s0].[TotalQuestionPoints], [s0].[TotalQuestions], [s0].[TotalShortAnswerQuestions], [s0].[TotalSingleSelectionQuestions], [s0].[TotalSources], [s0].[TotalTrueFalseQuestions], [s0].[Verified], [s0].[Version]
FROM [ScannerCards] AS [s0]
WHERE [s0].[Active] = CAST(1 AS bit) AND [s0].[Deleted] = CAST(0 AS bit)
) AS [s4] ON [s3].[Id] = [s4].[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], [c4].[Position], [c4].[Id], [s3].[Id], [s3].[ScannerId], [s3].[CategoryId], [s4].[TitleSlug]
|
8. |
info: 2025-04-26 00:57:25.561 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='e763d2d0-81ed-c1fd-bf61-e6c112d72bad', @__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]
|
9. |
info: 2025-04-26 00:57:25.834 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
19ms [Parameters=[@__site_Id_0='63d6eb4e-8e39-4ac6-8f69-55ee76feccce', @__item_Left_1='10279', @__item_Right_2='10308'], 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]
|
124 ms |