第五節(jié)冪函數(shù)與二次函數(shù)

第五節(jié)冪函數(shù)與二次函數(shù)目標定位學習指向1.了解冪函數(shù)的概念．2.結合函數(shù)y＝x，y＝x2，y＝x3，y＝，y＝x

的圖像，了解他們的變化情況．3.通過已學過的函數(shù)，特別是二次函數(shù)，理解函數(shù)的單調(diào)性、最大(小)值及其幾何意義．4.會用二次函數(shù)模型解決實際問題.1.二次函數(shù)的圖像與性質(zhì)，是歷年高考命題的熱點內(nèi)容，2013年仍是高考命題的熱點．2.常以5種冪函數(shù)為載體，考查冪函數(shù)的圖像及性質(zhì)．3.與數(shù)學應用問題、函數(shù)的最值、不等式的求解及證明、分類討論等知識結合，在知識的交匯點處命題．4.選擇、填空、解答三種題型中都有可能出現(xiàn).目標定位學習指向1.了解冪函數(shù)的概念．1.二次函數(shù)的圖像y＝xα自變量常數(shù)y＝xα自變量常數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)y＝x

y＝x2y＝x3y＝xy＝x－1定義域RRR[0，＋∞){x|x≠0}值域R[0，＋∞)R[0，＋∞){y|y≠0}性質(zhì)函數(shù)特征y＝xy＝x2y＝x3y＝xy＝x－1定義域RRR[奇偶性奇偶奇非奇非偶奇單調(diào)性增函數(shù)在(－∞，0]上減；在(0，＋∞)上增增函數(shù)增函數(shù)在(－∞，0)上減；在(0，＋∞)上減定點冪函數(shù)的圖像過定點(1,1)奇偶性奇偶奇非奇非偶奇單調(diào)性增函數(shù)在(－∞，0]上減；在(0高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)考點一冪函數(shù)的圖像和性質(zhì)考點一冪函數(shù)的圖像和性質(zhì)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)考點二二次函數(shù)的解析式及其性質(zhì)考點二二次函數(shù)的解析式及其性質(zhì)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)考點三二次函數(shù)根的分布問題考點三二次函數(shù)根的分布問題高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)點擊進入課后演練知能檢測點擊進入課后演練知能檢測本部分內(nèi)容講解結束按ESC鍵退出全屏播放本部分內(nèi)容講解結束按ESC鍵退出全屏播放第五節(jié)冪函數(shù)與二次函數(shù)

第五節(jié)冪函數(shù)與二次函數(shù)目標定位學習指向1.了解冪函數(shù)的概念．2.結合函數(shù)y＝x，y＝x2，y＝x3，y＝，y＝x

的圖像，了解他們的變化情況．3.通過已學過的函數(shù)，特別是二次函數(shù)，理解函數(shù)的單調(diào)性、最大(小)值及其幾何意義．4.會用二次函數(shù)模型解決實際問題.1.二次函數(shù)的圖像與性質(zhì)，是歷年高考命題的熱點內(nèi)容，2013年仍是高考命題的熱點．2.常以5種冪函數(shù)為載體，考查冪函數(shù)的圖像及性質(zhì)．3.與數(shù)學應用問題、函數(shù)的最值、不等式的求解及證明、分類討論等知識結合，在知識的交匯點處命題．4.選擇、填空、解答三種題型中都有可能出現(xiàn).目標定位學習指向1.了解冪函數(shù)的概念．1.二次函數(shù)的圖像y＝xα自變量常數(shù)y＝xα自變量常數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)y＝x

y＝x2y＝x3y＝xy＝x－1定義域RRR[0，＋∞){x|x≠0}值域R[0，＋∞)R[0，＋∞){y|y≠0}性質(zhì)函數(shù)特征y＝xy＝x2y＝x3y＝xy＝x－1定義域RRR[奇偶性奇偶奇非奇非偶奇單調(diào)性增函數(shù)在(－∞，0]上減；在(0，＋∞)上增增函數(shù)增函數(shù)在(－∞，0)上減；在(0，＋∞)上減定點冪函數(shù)的圖像過定點(1,1)奇偶性奇偶奇非奇非偶奇單調(diào)性增函數(shù)在(－∞，0]上減；在(0高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)考點一冪函數(shù)的圖像和性質(zhì)考點一冪函數(shù)的圖像和性質(zhì)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)考點二二次函數(shù)的解析式及其性質(zhì)考點二二次函數(shù)的解析式及其性質(zhì)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)考點三二次函數(shù)根的分布問題考點三二次函數(shù)根的分布問題高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪復習課件2-5-冪函數(shù)與二次函數(shù)高考數(shù)學北師大版二輪