已知某質(zhì)點(diǎn)按規(guī)律s＝2t²＋2t(米)作直線運(yùn)動(dòng)，質(zhì)點(diǎn)在3秒時(shí)的瞬時(shí)速度_________．

若函數(shù)y＝f(x)在點(diǎn)x₀處的導(dǎo)數(shù)存在，則它所對(duì)應(yīng)的曲線在點(diǎn)(x₀，f(x₀))處的切線方程是_________．

根據(jù)導(dǎo)數(shù)的定義求函數(shù)y＝f(x)的導(dǎo)數(shù)的一般方法：_________

瞬時(shí)速度：_________；瞬時(shí)加速度：_________．

導(dǎo)數(shù)的意義

(1)導(dǎo)數(shù)的幾何意義：函數(shù)y＝f(x)在x₀處的導(dǎo)數(shù)(x₀)就是曲線y＝f(x)在點(diǎn)p(x₀，f(x₀))處的切線的_________，即_________．

(2)導(dǎo)數(shù)的物理意義：函數(shù)s＝s(t)在點(diǎn)t₀處的導(dǎo)數(shù)_________，就是當(dāng)物體的運(yùn)動(dòng)方程s＝s(t)時(shí)，物體運(yùn)動(dòng)在時(shí)刻t₀時(shí)的瞬時(shí)速度v，即v＝_________．

導(dǎo)數(shù)的概念

(1)對(duì)于函數(shù)y＝f(x)，如果自變量x在x₀處有增數(shù)Δx，那么函數(shù)y相應(yīng)地有增量_________；比值_________就叫做函數(shù)y＝f(x)在x₀到x₀＋Δx之間的_________．

(2)當(dāng)Δx→0時(shí)，有極限，我們就說(shuō)y＝f(x)在點(diǎn)x₀處_________，并把這個(gè)極限叫做f(x)在點(diǎn)x₀處的導(dǎo)數(shù)(或變化率)記作_________或_________，即(x₀)＝_________＝_________，函數(shù)f(x)的導(dǎo)數(shù)(x)就是當(dāng)Δx→0時(shí)，函數(shù)的增量Δy與自變量的增量Δx的比的極限，即(x)＝_________＝_________．

橢圓＝1(a＞b＞0)的幾何性質(zhì)

(1)范圍：________，這說(shuō)明該橢圓位于直線________和________所圍成的矩形里．

(2)對(duì)稱性：關(guān)于________對(duì)稱．橢圓的對(duì)稱中心叫做橢圓的________．

(3)頂點(diǎn)：四個(gè)頂點(diǎn)的坐標(biāo)分別為_(kāi)_______、________，長(zhǎng)軸的長(zhǎng)是________，短軸的長(zhǎng)是________．

(4)離心率：橢圓的焦距與長(zhǎng)軸長(zhǎng)的比e＝，叫做橢圓的________．其中e∈________．當(dāng)e越接近于1時(shí)，橢圓越________；當(dāng)e越接近于0時(shí)，橢圓越________．

已知M＝{1，2，(a²－3a－1)＋(a²－5a－6)i}，N＝{－1，3}，M∩N＝{3}，則實(shí)數(shù)a＝________．

(1＋i)²⁰－(1－i)²⁰的值為_(kāi)_______．

設(shè)z₁、z₂是一對(duì)共軛復(fù)數(shù)，|z₁－z₂|＝2且是實(shí)數(shù)，則|z₁|＝________．