للوصول السريع إلى الدروس والاختبارات..
حمل تطبيق سبورة من متجر جوجل

حل أسئلة مسائل مهارات التفكير العليا
31) تحدٍّ: احسب قيمة
. حيث r عدد ثابت.
تبرير: حدّد ما إذا كانت كل عبارة مما يأتي صحيحة دائماً، أو صحيحة أحياناً أو غير صحيحة أبداً، برِّر إجابتك:
32) %3C%2Fmo%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsubsup%3E%3Cmo%3E%26%23x222B%3B%3C%2Fmo%3E%3Cmi%3Eb%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmsubsup%3E%3Cmi%3Ef%3C%2Fmi%3E%3Cmo%3E(%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E)%3C%2Fmo%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3Ex%3C%2Fmi%3E%3C%2Fmath%3E--%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A'a5b0e8edda16aced741108dbc8eca69'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjv%2FLJYAAADMAAAATmNtYXDgWxEdAAABHAAAADxjdnQgAAAABwAAAVgAAAAEZ2x5ZoYrxVAAAAFcAAABW2hlYWQOdyayAAACuAAAADZoaGVhC0UVwQAAAvAAAAAkaG10eCg8AIUAAAMUAAAADGxvY2EAAAVKAAADIAAAABBtYXhwBIoEWwAAAzAAAAAgbmFtZXSF9ZsAAANQAAABrXBvc3QDogHPAAAFAAAAACBwcmVwukanGAAABSAAAAANAAAGtAGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAGEAZv%2F%2FAAAAYQBm%2F%2F%2F%2FoP%2BcAAEAAAAAAAAAAAAHAAIAVQAAAwADqwADAAcAADMRIRElIREhVQKr%2FasCAP4AA6v8VVUDAAADAC3%2FdAQDBFkACwAXAB0AOxgBsB0QsAPUsAMQsBTUsBQQsBzUsBwQsAnUsBwQsA48sAkQsBs8ALAGELAR1LAGELAA1LAAELAX1DAxASIAERYSMzISNxAmBhYDAgYjIiY1NDYzATUGEyMSAgGz%2Ft8W9bLTugOFhnAWDE6FWbKyhQHtjASyUQRZ%2Ft%2F%2B3vX%2B3wEz4wGnnLIt%2Fp3%2FAGXInN%2By%2FFmMXQHn%2FV4AAQAB%2FvUC9QZDABoANRgBsBsQsAjUsAgQsAHUsBsQsAzUsAwQsBjUALAbELAK1LAKELAL1LAbELAA1LAAELAY1DAxAREQIyInNRY3ESM3FzUQITIXFSYjIgYdASEVAWXfWSyxAYYDgwFkWYVZWVmFAQsDp%2FxZ%2FvUshlmyA6eHAYUBkVmGWVmyhYYAAAEAAAABAACav9usXw889QADCAD%2F%2F%2F%2F%2F1a3uPf%2F%2F%2F%2F%2FVre49AAH%2B9QQDBkMAAAAKAAIAAQAAAAAAAQAABz7%2BTgAAF3AAAf%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%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'math1ae2e159b27c5f1a47fc873a491'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAABEGhlYWQQC2qxAAACpAAAADZoaGVhCGsXSAAAAtwAAAAkaG10eE2rRkcAAAMAAAAADGxvY2EAHTwYAAADDAAAABBtYXhwBT0FPgAAAxwAAAAgbmFtZaBxlY4AAAM8AAABn3Bvc3QB9wD6AAAE3AAAACBwcmVwa1uragAABPwAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAD0iK%2F%2F%2FAAAAPSIr%2F%2F%2F%2FxN3XAAEAAAAAAAAAAAFUAywAgAEAAFYAKgJYAh4BDgEsAiwAWgGAAoAAoADUAIAAAAAAAAAAKwBVAIAAqwDVAQABKwAHAAAAAgBVAAADAAOrAAMABwAAMxEhESUhESFVAqv9qwIA%2FgADq%2FxVVQMAAAIAgADrAtUCFQADAAcAZRgBsAgQsAbUsAYQsAXUsAgQsAHUsAEQsADUsAYQsAc8sAUQsAQ8sAEQsAI8sAAQsAM8ALAIELAG1LAGELAH1LAHELAB1LABELAC1LAGELAFPLAHELAEPLABELAAPLACELADPDEwEyE1IR0BITWAAlX9qwJVAcBV1VVVAAEAS%2F9rAgsDQAAZAAABJg4BAwIOASMmNDYGIxY%2BARMSPgEzFg4BNgH1NTUgICBANkAqVQs1NTYgICBANUArAVULAxUWK4v%2B4P7AiiAVQBVAFSuKASABQIsgFUAVPwABAAAAAQAA1XjOQV8PPPUAAwQA%2F%2F%2F%2F%2F9Y6E3P%2F%2F%2F%2F%2F1joTcwAA%2FyAEgAOrAAAACgACAAEAAAAAAAEAAAPo%2F2oAABdwAAD%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%2F)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'round_brackets18549f92a457f2409'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjwHLFQAAADMAAAATmNtYXDf7xCrAAABHAAAADxjdnQgBAkDLgAAAVgAAAASZ2x5ZmAOz2cAAAFsAAABJGhlYWQOKih8AAACkAAAADZoaGVhCvgVwgAAAsgAAAAkaG10eCA6AAIAAALsAAAADGxvY2EAAARLAAAC%2BAAAABBtYXhwBIgEWQAAAwgAAAAgbmFtZXHR30MAAAMoAAACOXBvc3QDogHPAAAFZAAAACBwcmVwupWEAAAABYQAAAAHAAAGcgGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAo8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACACgAKf%2F%2FAAAAKAAp%2F%2F%2F%2F2f%2FZAAEAAAAAAAAAAAFUAFYBAAAsAKgDgAAyAAcAAAACAAAAKgDVA1UAAwAHAAA1MxEjEyMRM9XVq4CAKgMr%2FQAC1QABAAD%2B0AIgBtAACQBNGAGwChCwA9SwAxCwAtSwChCwBdSwBRCwANSwAxCwBzywAhCwCDwAsAoQsAPUsAMQsAfUsAoQsAXUsAoQsADUsAMQsAI8sAcQsAg8MTAREAEzABEQASMAAZCQ%2FnABkJD%2BcALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAA%2FtACIAbQAAkATRgBsAoQsAPUsAMQsALUsAoQsAXUsAUQsADUsAMQsAc8sAIQsAg8ALAKELAD1LADELAH1LAKELAF1LAKELAA1LADELACPLAHELAIPDEwARABIwAREAEzAAIg%2FnCQAZD%2BcJABkALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAAAAEAAPW2NYFfDzz1AAMIAP%2F%2F%2F%2F%2FVre7u%2F%2F%2F%2F%2F9Wt7u4AAP7QA7cG0AAAAAoAAgABAAAAAAABAAAHPv5OAAAXcAAA%2F%2F4DtwABAAAAAAAAAAAAAAAAAAAAAwDVAAACIAAAAiAAAAAAAAAAAAAkAAAAowAAASQAAQAAAAMACgACAAAAAAACAIAEAAAAAAAEAABNAAAAAAAAABUBAgAAAAAAAAABAD4AAAAAAAAAAAACAA4APgAAAAAAAAADAFwATAAAAAAAAAAEAD4AqAAAAAAAAAAFABYA5gAAAAAAAAAGAB8A%2FAAAAAAAAAAIABwBGwABAAAAAAABAD4AAAABAAAAAAACAA4APgABAAAAAAADAFwATAABAAAAAAAEAD4AqAABAAAAAAAFABYA5gABAAAAAAAGAB8A%2FAABAAAAAAAIABwBGwADAAEECQABAD4AAAADAAEECQACAA4APgADAAEECQADAFwATAADAAEECQAEAD4AqAADAAEECQAFABYA5gADAAEECQAGAB8A%2FAADAAEECQAIABwBGwBSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFIAZQBnAHUAbABhAHIATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlACAAUgBvAHUAbgBkACAAYgByAGEAYwBrAGUAdABzACAAdwBpAHQAaAAgAGEAcwBjAGUAbgB0ACAAMQA4ADUANABSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFYAZQByAHMAaQBvAG4AIAAyAC4AMFJvdW5kX2JyYWNrZXRzX3dpdGhfYXNjZW50XzE4NTQATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlAAAAAAMAAAAAAAADnwHPAAAAAAAAAAAAAAAAAAAAAAAAAAC5B%2F8AAY2FAA%3D%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22math1ae2e159b27c5f1a47fc873a491%22%20font-size%3D%2232%22%20text-anchor%3D%22middle%22%20x%3D%228.5%22%20y%3D%2233%22%3E%26%23x222B%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2214.5%22%20y%3D%2244%22%3Ea%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2221.5%22%20y%3D%2211%22%3Eb%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2229.5%22%20y%3D%2229%22%3Ef%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2238.5%22%20y%3D%2229%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2244.5%22%20y%3D%2229%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2251.5%22%20y%3D%2229%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2258.5%22%20y%3D%2229%22%3Ed%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2267.5%22%20y%3D%2229%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1ae2e159b27c5f1a47fc873a491%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2280.5%22%20y%3D%2229%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1ae2e159b27c5f1a47fc873a491%22%20font-size%3D%2232%22%20text-anchor%3D%22middle%22%20x%3D%2297.5%22%20y%3D%2233%22%3E%26%23x222B%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22103.5%22%20y%3D%2244%22%3Eb%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22110.5%22%20y%3D%2211%22%3Ea%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22117.5%22%20y%3D%2229%22%3Ef%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22126.5%22%20y%3D%2229%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22132.5%22%20y%3D%2229%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22139.5%22%20y%3D%2229%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22146.5%22%20y%3D%2229%22%3Ed%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22155.5%22%20y%3D%2229%22%3Ex%3C%2Ftext%3E%3C%2Fsvg%3E)
أحياناً؛ إجابة ممكنة: يؤدي تغيير ترتيب حدود التكامل إلى تغيير إشارته ما لم تكن قيمة التكامل صفراً.
33) %3C%2Fmo%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsubsup%3E%3Cmo%3E%26%23x222B%3B%3C%2Fmo%3E%3Cmrow%3E%3Cmo%3E%26%23x2212%3B%3C%2Fmo%3E%3Cmi%3Eb%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmo%3E%26%23x2212%3B%3C%2Fmo%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsubsup%3E%3Cmi%3Ef%3C%2Fmi%3E%3Cmo%3E(%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E)%3C%2Fmo%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3Ex%3C%2Fmi%3E%3C%2Fmath%3E--%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A'a5b0e8edda16aced741108dbc8eca69'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjv%2FLJYAAADMAAAATmNtYXDgWxEdAAABHAAAADxjdnQgAAAABwAAAVgAAAAEZ2x5ZoYrxVAAAAFcAAABW2hlYWQOdyayAAACuAAAADZoaGVhC0UVwQAAAvAAAAAkaG10eCg8AIUAAAMUAAAADGxvY2EAAAVKAAADIAAAABBtYXhwBIoEWwAAAzAAAAAgbmFtZXSF9ZsAAANQAAABrXBvc3QDogHPAAAFAAAAACBwcmVwukanGAAABSAAAAANAAAGtAGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAGEAZv%2F%2FAAAAYQBm%2F%2F%2F%2FoP%2BcAAEAAAAAAAAAAAAHAAIAVQAAAwADqwADAAcAADMRIRElIREhVQKr%2FasCAP4AA6v8VVUDAAADAC3%2FdAQDBFkACwAXAB0AOxgBsB0QsAPUsAMQsBTUsBQQsBzUsBwQsAnUsBwQsA48sAkQsBs8ALAGELAR1LAGELAA1LAAELAX1DAxASIAERYSMzISNxAmBhYDAgYjIiY1NDYzATUGEyMSAgGz%2Ft8W9bLTugOFhnAWDE6FWbKyhQHtjASyUQRZ%2Ft%2F%2B3vX%2B3wEz4wGnnLIt%2Fp3%2FAGXInN%2By%2FFmMXQHn%2FV4AAQAB%2FvUC9QZDABoANRgBsBsQsAjUsAgQsAHUsBsQsAzUsAwQsBjUALAbELAK1LAKELAL1LAbELAA1LAAELAY1DAxAREQIyInNRY3ESM3FzUQITIXFSYjIgYdASEVAWXfWSyxAYYDgwFkWYVZWVmFAQsDp%2FxZ%2FvUshlmyA6eHAYUBkVmGWVmyhYYAAAEAAAABAACav9usXw889QADCAD%2F%2F%2F%2F%2F1a3uPf%2F%2F%2F%2F%2FVre49AAH%2B9QQDBkMAAAAKAAIAAQAAAAAAAQAABz7%2BTgAAF3AAAf%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%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'math1e5910cd8fa1b1cd9f2448b8dd3'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAAERjdnQgDVUNBwAAAWAAAAA6Z2x5ZoPi2VsAAAGcAAABWmhlYWQQC2qxAAAC%2BAAAADZoaGVhCGsXSAAAAzAAAAAkaG10eE2rRkcAAANUAAAAEGxvY2EAHTwYAAADZAAAABRtYXhwBT0FPgAAA3gAAAAgbmFtZaBxlY4AAAOYAAABn3Bvc3QB9wD6AAAFOAAAACBwcmVwa1uragAABVgAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEADAAAAAIAAgAAgAAAD0iEiIr%2F%2F8AAAA9IhIiK%2F%2F%2F%2F8Td8N3YAAEAAAAAAAAAAAAAAVQDLACAAQAAVgAqAlgCHgEOASwCLABaAYACgACgANQAgAAAAAAAAAArAFUAgACrANUBAAErAAcAAAACAFUAAAMAA6sAAwAHAAAzESERJSERIVUCq%2F2rAgD%2BAAOr%2FFVVAwAAAgCAAOsC1QIVAAMABwBlGAGwCBCwBtSwBhCwBdSwCBCwAdSwARCwANSwBhCwBzywBRCwBDywARCwAjywABCwAzwAsAgQsAbUsAYQsAfUsAcQsAHUsAEQsALUsAYQsAU8sAcQsAQ8sAEQsAA8sAIQsAM8MTATITUhHQEhNYACVf2rAlUBwFXVVVUAAQCAAVUC1QGrAAMAMBgBsAQQsQAD9rADPLECB%2FWwATyxBQPmALEAABMQsQAG5bEAARMQsAE8sQMF9bACPBMhFSGAAlX9qwGrVgABAEv%2FawILA0AAGQAAASYOAQMCDgEjJjQ2BiMWPgETEj4BMxYOATYB9TU1ICAgQDZAKlULNTU2ICAgQDVAKwFVCwMVFiuL%2FuD%2BwIogFUAVQBUrigEgAUCLIBVAFT8AAAABAAAAAQAA1XjOQV8PPPUAAwQA%2F%2F%2F%2F%2F9Y6E3P%2F%2F%2F%2F%2F1joTcwAA%2FyAEgAOrAAAACgACAAEAAAAAAAEAAAPo%2F2oAABdwAAD%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%2BgAAAAAAAAAAAAAAAAAAAAAAAAAAuQcRAACNhRgAsgAAABUUE7EAAT8%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'round_brackets18549f92a457f2409'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjwHLFQAAADMAAAATmNtYXDf7xCrAAABHAAAADxjdnQgBAkDLgAAAVgAAAASZ2x5ZmAOz2cAAAFsAAABJGhlYWQOKih8AAACkAAAADZoaGVhCvgVwgAAAsgAAAAkaG10eCA6AAIAAALsAAAADGxvY2EAAARLAAAC%2BAAAABBtYXhwBIgEWQAAAwgAAAAgbmFtZXHR30MAAAMoAAACOXBvc3QDogHPAAAFZAAAACBwcmVwupWEAAAABYQAAAAHAAAGcgGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAo8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACACgAKf%2F%2FAAAAKAAp%2F%2F%2F%2F2f%2FZAAEAAAAAAAAAAAFUAFYBAAAsAKgDgAAyAAcAAAACAAAAKgDVA1UAAwAHAAA1MxEjEyMRM9XVq4CAKgMr%2FQAC1QABAAD%2B0AIgBtAACQBNGAGwChCwA9SwAxCwAtSwChCwBdSwBRCwANSwAxCwBzywAhCwCDwAsAoQsAPUsAMQsAfUsAoQsAXUsAoQsADUsAMQsAI8sAcQsAg8MTAREAEzABEQASMAAZCQ%2FnABkJD%2BcALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAA%2FtACIAbQAAkATRgBsAoQsAPUsAMQsALUsAoQsAXUsAUQsADUsAMQsAc8sAIQsAg8ALAKELAD1LADELAH1LAKELAF1LAKELAA1LADELACPLAHELAIPDEwARABIwAREAEzAAIg%2FnCQAZD%2BcJABkALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAAAAEAAPW2NYFfDzz1AAMIAP%2F%2F%2F%2F%2FVre7u%2F%2F%2F%2F%2F9Wt7u4AAP7QA7cG0AAAAAoAAgABAAAAAAABAAAHPv5OAAAXcAAA%2F%2F4DtwABAAAAAAAAAAAAAAAAAAAAAwDVAAACIAAAAiAAAAAAAAAAAAAkAAAAowAAASQAAQAAAAMACgACAAAAAAACAIAEAAAAAAAEAABNAAAAAAAAABUBAgAAAAAAAAABAD4AAAAAAAAAAAACAA4APgAAAAAAAAADAFwATAAAAAAAAAAEAD4AqAAAAAAAAAAFABYA5gAAAAAAAAAGAB8A%2FAAAAAAAAAAIABwBGwABAAAAAAABAD4AAAABAAAAAAACAA4APgABAAAAAAADAFwATAABAAAAAAAEAD4AqAABAAAAAAAFABYA5gABAAAAAAAGAB8A%2FAABAAAAAAAIABwBGwADAAEECQABAD4AAAADAAEECQACAA4APgADAAEECQADAFwATAADAAEECQAEAD4AqAADAAEECQAFABYA5gADAAEECQAGAB8A%2FAADAAEECQAIABwBGwBSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFIAZQBnAHUAbABhAHIATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlACAAUgBvAHUAbgBkACAAYgByAGEAYwBrAGUAdABzACAAdwBpAHQAaAAgAGEAcwBjAGUAbgB0ACAAMQA4ADUANABSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFYAZQByAHMAaQBvAG4AIAAyAC4AMFJvdW5kX2JyYWNrZXRzX3dpdGhfYXNjZW50XzE4NTQATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlAAAAAAMAAAAAAAADnwHPAAAAAAAAAAAAAAAAAAAAAAAAAAC5B%2F8AAY2FAA%3D%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22math1e5910cd8fa1b1cd9f2448b8dd3%22%20font-size%3D%2232%22%20text-anchor%3D%22middle%22%20x%3D%228.5%22%20y%3D%2234%22%3E%26%23x222B%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2214.5%22%20y%3D%2245%22%3Ea%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2221.5%22%20y%3D%2212%22%3Eb%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2229.5%22%20y%3D%2230%22%3Ef%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2238.5%22%20y%3D%2230%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2244.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2251.5%22%20y%3D%2230%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2258.5%22%20y%3D%2230%22%3Ed%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2267.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1e5910cd8fa1b1cd9f2448b8dd3%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2280.5%22%20y%3D%2230%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1e5910cd8fa1b1cd9f2448b8dd3%22%20font-size%3D%2232%22%20text-anchor%3D%22middle%22%20x%3D%2297.5%22%20y%3D%2234%22%3E%26%23x222B%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1e5910cd8fa1b1cd9f2448b8dd3%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%22105.5%22%20y%3D%2245%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22113.5%22%20y%3D%2245%22%3Eb%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1e5910cd8fa1b1cd9f2448b8dd3%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%22112.5%22%20y%3D%2212%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22120.5%22%20y%3D%2212%22%3Ea%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22127.5%22%20y%3D%2230%22%3Ef%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22136.5%22%20y%3D%2230%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22142.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22149.5%22%20y%3D%2230%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22156.5%22%20y%3D%2230%22%3Ed%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22165.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3C%2Fsvg%3E)
أحياناً؛ إجابة ممكنة: إذا كانت (f(x دالة زوجية، فإن العبارة تكون صحيحة دائماً.
34) %3C%2Fmo%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsubsup%3E%3Cmo%3E%26%23x222B%3B%3C%2Fmo%3E%3Cmrow%3E%3Cmo%3E%7C%3C%2Fmo%3E%3Cmi%3Eb%3C%2Fmi%3E%3Cmo%3E%7C%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmo%3E%7C%3C%2Fmo%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmo%3E%7C%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmsubsup%3E%3Cmi%3Ef%3C%2Fmi%3E%3Cmo%3E(%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E)%3C%2Fmo%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3Ex%3C%2Fmi%3E%3C%2Fmath%3E--%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A'a5b0e8edda16aced741108dbc8eca69'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjv%2FLJYAAADMAAAATmNtYXDgWxEdAAABHAAAADxjdnQgAAAABwAAAVgAAAAEZ2x5ZoYrxVAAAAFcAAABW2hlYWQOdyayAAACuAAAADZoaGVhC0UVwQAAAvAAAAAkaG10eCg8AIUAAAMUAAAADGxvY2EAAAVKAAADIAAAABBtYXhwBIoEWwAAAzAAAAAgbmFtZXSF9ZsAAANQAAABrXBvc3QDogHPAAAFAAAAACBwcmVwukanGAAABSAAAAANAAAGtAGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAGEAZv%2F%2FAAAAYQBm%2F%2F%2F%2FoP%2BcAAEAAAAAAAAAAAAHAAIAVQAAAwADqwADAAcAADMRIRElIREhVQKr%2FasCAP4AA6v8VVUDAAADAC3%2FdAQDBFkACwAXAB0AOxgBsB0QsAPUsAMQsBTUsBQQsBzUsBwQsAnUsBwQsA48sAkQsBs8ALAGELAR1LAGELAA1LAAELAX1DAxASIAERYSMzISNxAmBhYDAgYjIiY1NDYzATUGEyMSAgGz%2Ft8W9bLTugOFhnAWDE6FWbKyhQHtjASyUQRZ%2Ft%2F%2B3vX%2B3wEz4wGnnLIt%2Fp3%2FAGXInN%2By%2FFmMXQHn%2FV4AAQAB%2FvUC9QZDABoANRgBsBsQsAjUsAgQsAHUsBsQsAzUsAwQsBjUALAbELAK1LAKELAL1LAbELAA1LAAELAY1DAxAREQIyInNRY3ESM3FzUQITIXFSYjIgYdASEVAWXfWSyxAYYDgwFkWYVZWVmFAQsDp%2FxZ%2FvUshlmyA6eHAYUBkVmGWVmyhYYAAAEAAAABAACav9usXw889QADCAD%2F%2F%2F%2F%2F1a3uPf%2F%2F%2F%2F%2FVre49AAH%2B9QQDBkMAAAAKAAIAAQAAAAAAAQAABz7%2BTgAAF3AAAf%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%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'math1676bc1ee5e394e4e7fca86c4f5'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAAERjdnQgDVUNBwAAAWAAAAA6Z2x5ZoPi2VsAAAGcAAABR2hlYWQQC2qxAAAC5AAAADZoaGVhCGsXSAAAAxwAAAAkaG10eE2rRkcAAANAAAAAEGxvY2EAHTwYAAADUAAAABRtYXhwBT0FPgAAA2QAAAAgbmFtZaBxlY4AAAOEAAABn3Bvc3QB9wD6AAAFJAAAACBwcmVwa1uragAABUQAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEADAAAAAIAAgAAgAAAD0AfCIr%2F%2F8AAAA9AHwiK%2F%2F%2F%2F8T%2Fht3YAAEAAAAAAAAAAAAAAVQDLACAAQAAVgAqAlgCHgEOASwCLABaAYACgACgANQAgAAAAAAAAAArAFUAgACrANUBAAErAAcAAAACAFUAAAMAA6sAAwAHAAAzESERJSERIVUCq%2F2rAgD%2BAAOr%2FFVVAwAAAgCAAOsC1QIVAAMABwBlGAGwCBCwBtSwBhCwBdSwCBCwAdSwARCwANSwBhCwBzywBRCwBDywARCwAjywABCwAzwAsAgQsAbUsAYQsAfUsAcQsAHUsAEQsALUsAYQsAU8sAcQsAQ8sAEQsAA8sAIQsAM8MTATITUhHQEhNYACVf2rAlUBwFXVVVUAAQBw%2FyAAwANwAAMAHxgBsAMvsAA8sQIC9bABPACxAwA%2FsAI8fLEABvWwATwXMxEjcFBQ4ARQAAEAS%2F9rAgsDQAAZAAABJg4BAwIOASMmNDYGIxY%2BARMSPgEzFg4BNgH1NTUgICBANkAqVQs1NTYgICBANUArAVULAxUWK4v%2B4P7AiiAVQBVAFSuKASABQIsgFUAVPwAAAQAAAAEAANV4zkFfDzz1AAMEAP%2F%2F%2F%2F%2FWOhNz%2F%2F%2F%2F%2F9Y6E3MAAP8gBIADqwAAAAoAAgABAAAAAAABAAAD6P9qAAAXcAAA%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%2F)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'round_brackets18549f92a457f2409'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjwHLFQAAADMAAAATmNtYXDf7xCrAAABHAAAADxjdnQgBAkDLgAAAVgAAAASZ2x5ZmAOz2cAAAFsAAABJGhlYWQOKih8AAACkAAAADZoaGVhCvgVwgAAAsgAAAAkaG10eCA6AAIAAALsAAAADGxvY2EAAARLAAAC%2BAAAABBtYXhwBIgEWQAAAwgAAAAgbmFtZXHR30MAAAMoAAACOXBvc3QDogHPAAAFZAAAACBwcmVwupWEAAAABYQAAAAHAAAGcgGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAo8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACACgAKf%2F%2FAAAAKAAp%2F%2F%2F%2F2f%2FZAAEAAAAAAAAAAAFUAFYBAAAsAKgDgAAyAAcAAAACAAAAKgDVA1UAAwAHAAA1MxEjEyMRM9XVq4CAKgMr%2FQAC1QABAAD%2B0AIgBtAACQBNGAGwChCwA9SwAxCwAtSwChCwBdSwBRCwANSwAxCwBzywAhCwCDwAsAoQsAPUsAMQsAfUsAoQsAXUsAoQsADUsAMQsAI8sAcQsAg8MTAREAEzABEQASMAAZCQ%2FnABkJD%2BcALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAA%2FtACIAbQAAkATRgBsAoQsAPUsAMQsALUsAoQsAXUsAUQsADUsAMQsAc8sAIQsAg8ALAKELAD1LADELAH1LAKELAF1LAKELAA1LADELACPLAHELAIPDEwARABIwAREAEzAAIg%2FnCQAZD%2BcJABkALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAAAAEAAPW2NYFfDzz1AAMIAP%2F%2F%2F%2F%2FVre7u%2F%2F%2F%2F%2F9Wt7u4AAP7QA7cG0AAAAAoAAgABAAAAAAABAAAHPv5OAAAXcAAA%2F%2F4DtwABAAAAAAAAAAAAAAAAAAAAAwDVAAACIAAAAiAAAAAAAAAAAAAkAAAAowAAASQAAQAAAAMACgACAAAAAAACAIAEAAAAAAAEAABNAAAAAAAAABUBAgAAAAAAAAABAD4AAAAAAAAAAAACAA4APgAAAAAAAAADAFwATAAAAAAAAAAEAD4AqAAAAAAAAAAFABYA5gAAAAAAAAAGAB8A%2FAAAAAAAAAAIABwBGwABAAAAAAABAD4AAAABAAAAAAACAA4APgABAAAAAAADAFwATAABAAAAAAAEAD4AqAABAAAAAAAFABYA5gABAAAAAAAGAB8A%2FAABAAAAAAAIABwBGwADAAEECQABAD4AAAADAAEECQACAA4APgADAAEECQADAFwATAADAAEECQAEAD4AqAADAAEECQAFABYA5gADAAEECQAGAB8A%2FAADAAEECQAIABwBGwBSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFIAZQBnAHUAbABhAHIATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlACAAUgBvAHUAbgBkACAAYgByAGEAYwBrAGUAdABzACAAdwBpAHQAaAAgAGEAcwBjAGUAbgB0ACAAMQA4ADUANABSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFYAZQByAHMAaQBvAG4AIAAyAC4AMFJvdW5kX2JyYWNrZXRzX3dpdGhfYXNjZW50XzE4NTQATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlAAAAAAMAAAAAAAADnwHPAAAAAAAAAAAAAAAAAAAAAAAAAAC5B%2F8AAY2FAA%3D%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2232%22%20text-anchor%3D%22middle%22%20x%3D%228.5%22%20y%3D%2234%22%3E%26%23x222B%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2214.5%22%20y%3D%2245%22%3Ea%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2221.5%22%20y%3D%2212%22%3Eb%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2229.5%22%20y%3D%2230%22%3Ef%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2238.5%22%20y%3D%2230%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2244.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2251.5%22%20y%3D%2230%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2258.5%22%20y%3D%2230%22%3Ed%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2267.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2280.5%22%20y%3D%2230%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2232%22%20text-anchor%3D%22middle%22%20x%3D%2297.5%22%20y%3D%2234%22%3E%26%23x222B%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%22102.5%22%20y%3D%2245%22%3E%7C%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22107.5%22%20y%3D%2245%22%3Eb%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%22114.5%22%20y%3D%2245%22%3E%7C%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%22109.5%22%20y%3D%2212%22%3E%7C%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2212%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22114.5%22%20y%3D%2212%22%3Ea%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1676bc1ee5e394e4e7fca86c4f5%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%22120.5%22%20y%3D%2212%22%3E%7C%3C%2Ftext%3E%3Ctext%20font-family%3D%22a5b0e8edda16aced741108dbc8eca69%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22125.5%22%20y%3D%2230%22%3Ef%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22134.5%22%20y%3D%2230%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22140.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22147.5%22%20y%3D%2230%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22154.5%22%20y%3D%2230%22%3Ed%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%22163.5%22%20y%3D%2230%22%3Ex%3C%2Ftext%3E%3C%2Fsvg%3E)
أحياناً؛ إجابة ممكنة: إذا كان (f(x دالة زوجية وكل من a,b سالباً.
35) برهان: أثبت أنه لأي عددين ثابتين n ،m، فإن
.
36) تبرير: صف قيم
، عندما يقع التمثيل البياني للدالة f تحت المحور x في الفترة
.
بما أن التمثيل البياني للدالة (f (x يقع تحت المحور x، فإن إشارة f (x) سالبة، وبما أن (f (x سالبة و xموجبة، فإن كل حدّ في
سالب.
وعليه فإن المجموع سالب؛ لأن هو نهاية مجاميع سالبة، لذا يكون سالباً.
37) اكتب: بيّن لماذا يمكننا إهمال الحد الثابت C في الدالة الأصلية عند حساب التكامل المحدد.
إجابة ممكنة: إذا احتوت الدالة (F (x على الثابت C، فإنه سيظهر في كل من (F (b و(F (a، ولأننا نطرح هاتين القيمتين، فإن C تحذف.
للوصول السريع إلى الدروس والاختبارات..
حمل تطبيق سبورة من متجر جوجل

النقاشات