如图,正方形ABCD的边长为4,P是BC边上一点,QP⊥AP交DC于Q,如果BP=x,△ADQ的面积_百度作业帮
如图,正方形ABCD的边长为4,P是BC边上一点,QP⊥AP交DC于Q,如果BP=x,△ADQ的面积
如图,正方形ABCD的边长为4,P是BC边上一点,QP⊥AP交DC于Q,如果BP=x,△ADQ的面积
⊿ABP∽⊿PCQ﹙AAA﹚ CQ＝﹙4-x﹚x/4S⊿ADQ＝4×DQ/2＝2﹙4-﹙4-x﹚x/4﹚＝x²/2-2x+8如图,正方形ABCD的边长为4,P是BC边上一点,QP⊥AP交DC于Q,如果BP=x,△ADQ的面积为y,用含x的代数式表示y._百度作业帮
如图,正方形ABCD的边长为4,P是BC边上一点,QP⊥AP交DC于Q,如果BP=x,△ADQ的面积为y,用含x的代数式表示y.
如图,正方形ABCD的边长为4,P是BC边上一点,QP⊥AP交DC于Q,如果BP=x,△ADQ的面积为y,用含x的代数式表示y.
BP=x,PC=BC-BP=4-x,∠APB+∠CPQ=90度,∠CQP+∠CPQ=90度,所以∠APB=∠CQP,∠BAP+∠APB=90度,∠CQP+∠CPQ=90度,所以∠BAP=∠CPQ,∠ABP=∠PCQ=90度,故直角△ABP与直角△PCQ相似(AAA),BP:CQ=AB:PCCQ=BP×PC/AB=x(4-x)/4,DQ=DC-CQ=4-x(4-x)/4,直角△ADQ的面积y=DQ×AD/2=[4-x(4-x)/4]4/2,化简得:y=x²/2-2x+8
因为△ADQ的面积为y,所以DQ=Y/2，CQ=4-Y/2，因为BP=X，所以CP=4-X，利用直角三角形ABP，CPQ，APQ，AQD及勾股定理就能得出结果
因为：QP与AP垂直所以可知角APB加角QPC等于90度，又角QPC加角PQC也等于90度所以角APB等于角PQC；由四边形ABCD是正方形可知角B等于角C所以三角形ABP与三角形PCQ相似于是BP/CQ=AB/PC，即X/CQ=4/4-X（由BP=X可知PC=4-X）于是
CQ=（4X-X的平方）/4，DQ=4-CQ，三角形ADQ的面积=1/2*AD*DQ即 y=1/2*x的平方-2x+8。在...Timeout expired. &The timeout period elapsed prior to obtaining a connection from the pool. &This may have occurred because all pooled connections were in use and max pool size was reached.
Server Error in '/' Application.
Timeout expired. &The timeout period elapsed prior to obtaining a connection from the pool. &This may have occurred because all pooled connections were in use and max pool size was reached.
Description: An unhandled exception occurred during the execution of the current web request. Please review the stack trace for more information about the error and where it originated in the code.
Exception Details: System.InvalidOperationException: Timeout expired. &The timeout period elapsed prior to obtaining a connection from the pool. &This may have occurred because all pooled connections were in use and max pool size was reached.
Source Error:
An unhandled exception was generated during the execution of the current web request. Information regarding the origin and location of the exception can be identified using the exception stack trace below.
Stack Trace:
[InvalidOperationException: Timeout expired.
The timeout period elapsed prior to obtaining a connection from the pool.
This may have occurred because all pooled connections were in use and max pool size was reached.]
System.Data.ProviderBase.DbConnectionFactory.GetConnection(DbConnection owningConnection) +5065241
System.Data.ProviderBase.DbConnectionClosed.OpenConnection(DbConnection outerConnection, DbConnectionFactory connectionFactory) +126
System.Data.SqlClient.SqlConnection.Open() +125
studentnotice.Page_Load(Object sender, EventArgs e) +298
System.Web.Util.CalliHelper.EventArgFunctionCaller(IntPtr fp, Object o, Object t, EventArgs e) +14
System.Web.Util.CalliEventHandlerDelegateProxy.Callback(Object sender, EventArgs e) +35
System.Web.UI.Control.OnLoad(EventArgs e) +91
System.Web.UI.Control.LoadRecursive() +74
System.Web.UI.Page.ProcessRequestMain(Boolean includeStagesBeforeAsyncPoint, Boolean includeStagesAfterAsyncPoint) +2207
Version Information:&Microsoft .NET Framework Version:4.0.30319; ASP.NET Version:4.0.网站名: 阿江守候
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